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BIBLIOGRAPHY
Amann, H.
[1] . Fixed point equations and nonlinear eigen value
problems in ordered Banach space.
SIAM Review, 18 (1976), 620-709.
Ahmed, A. and Imdad, M.
[2] . Relative asymptotic regularity and fixed point
theorems.
The Aligarh Bull. of Maths. 14 (1992-93), 1-7.
Aksay, A.G. and Khamsi, M.A.
[3]. Non standard methods in fixed point theory.
Springer-Verlog, New York. Berlin (1990).
Alexiewicz, A.
[4]. The two norm convergence.
Stud. Math. 14 (1954) 49-56.
[5]. The two-norm spaces.
Stud. Math. Special, Vol. (1963), 17-20.
Alexiewicz, A. and semandi, Z.
[6] . Linear functions on the two-norm spaces
Stud. Math. 17 (1958), 121-140.
167
[7]. The two norm spaces and their conjugate spaces.
Stud. Math. 18 (1959), 257-293.
Banach, s.
[8). Sur les operations dans les ensembles abstraits
et leur applications aux equations integrales.
Fund.Math. 3 (1922), 133-181.
Baskaran, R. and Subrahmaniam, P.V.
[9]. Common fixed points in metrically convex spaces.
J.Math.Phys.Sci. 18 (1984), 865-870.
Beg, I., Rehman, s. and Sahzad, N.
[10) . Fixed points of generalized contraction mappings
on probabilistic metric spaces.
Pak J.Stat. 8 (2)A, (1992), 35-52.
Bianchini, R.M.T.
[11]. Su un problema di S.Reich riguradante la teoria
dei punti fissi.
Boll.Un.Mat.Ital. 5 (1972), 103-108.
Brower, L.E.J.
[12] . Uber Abbildungen von manigfaltigkeitan.
Math.Ann., 11 (1912), 97-115.
168
[13]. An intuitionist correction of the fixed point
theorem on the sphere.
Proc. Royal Soc. London (A) 213 (1952), 1-2.
Browder, F.E.
[14] . Nonexpansive nonlinear operators in a Banach
space.
Proc. Nat. Acad. Sci., 54 (1965), 1041-1044.
[15] . Nonlinear operators and Nonlinear equations of
evolution in Banach Spaces.
Proc.Symp.Pure Math., Amer.Math. series
Providence, R.I., 18 Part-2 (1976).
Cain, G.L. and Kasriel, R.H.
[16] . Fixed and periodic points of local contraction
mappings.
Maths systems theory. 9 (1976), 289-287.
Carbone, A., Roades, B.E. & Singh, S.P.
[17]. A fixed point theorem for generalized contraction
map.
Indian J. Pure Appl.Math. 20(6) (1989), 543-548.
Chang, s.s.
[18] A common fixed point theorem for commuting
mappings.
Proc.Amer.Soc. 83 (1981), 645-652.
169
[19] . A common fixed point theorem
mappings.
Math.Japon. 26 (1981), 121.
for commuting
[20) . On common fixed point theorem for a family of
¢ - contracting mappings.
Math.Japon. 29 (1984), 527-536.
Chatter jea, s. K.
[21]. Fixed point theorems.
C.R.Acad.Bulgare Sci. 25 (1972), 723-730.
Cho, Y.J., Sharma, B.K. and Sahu, D.R.
[22). Semi-compatibility and fixed points.
Math.Jap. 42 (1) (1995), 91-98
Cho, Y.J. and Singh, S.L.
[23]. An approach to fixed point in Saks spaces.
Annal. de la Soc. Sci. de Bruxelles, T.
98 (1984), II-III, 80-84.
[24) . A coincidence theorem and fixed point theorems
in Saks spaces.
Kobe J.Math. 3 (1986), 1-6.
Ciric, L.B.
[25] . A generalization of Banach's contraction
principle.
Proc.Amer.Math.Soc. 45 (1974), 267-273.
170
Collatz, L.
[26). Functional analysis and numerical analysis.
Acad Press New York. (1966)
Conserva, V.
[27]. Common fixed point' theorem for commuting maps on
a metric space.
Publ.Inst.Math. 32(46) (1982), 37-43.
Das, K.M. and Naik, K.V.
[28] . Common fixed point theorems for commuting maps
on a metric space.
Proc.Amer.math.Soc. 77 (1979), 369-373.
Dedic, R. and Sarapa, N.
[29] . A common fixed point theorem for three mappings
in Menger spaces.
Math.Japonica, 34(6) (1989), 919-923.
Delbosco, D.
[30] . Unestensione di un teorema sul punta fisso di
S, Reich.
Semin Mat.Univers.Pol.Torino 35 (1976-77),233-238.
[31] . A uniform approach for all contractive
mappings.
Inst. Mat. Univ. Torino, Report, 19 (1981).
171
Ding, X.P.
[32] . Some fixed point theorems of commuting mappings
(II) .
Maths Semin. Notes, 11 (1983), 301-305.
Edelstein, M.
[33]. On fixed and periodic points under contractive
mappings.
J.London Math.Soc. 45 (1974), 267-273.
Fisher, B.
[34). Mappings on metric space.
Bull. U.M.I., 12 (1975), 147-151.
[35]. Mappings with a common fixed point.
Math.Sem.Notes., 7 (1979), 81-84.
[36]. An addendum to mappings with a common fixed
point.
Math. Sem. Notes, 8 (1980), 513-514.
[37). Common fixed points of commuting mappings.
Bull.Inst.Math.Acad.Sci. 9 (1981) 399-406.
[38]. Three mappings with a common fixed point.
Math.Semin.Notes 10 (1982), 293-302.
[39). Common fixed point of four mappings.
Inst.Math.Acad. Sinica. 11 (1983), 103-113.
172
Fisher, B. and Sessa, s.
[40] . Common fixed points of two pairs of weakly
commuting mappings.
Univ.uNovm Sadu. Zb.Rad period- Mat.Fac.Ser.Mat.
18 (1986) 45-59.
Franklin, J.
[41]. Method of mathematical Economics.
Springer-Verlag. New York, (1980).
Goebel, K.
[42] . A coincidence theorem.
Bul.Acad.Polon.Sci.Ser. Math. 16 (1968), 733-735.
Goebel, K and Kirk, W.A.
[43]. Topics in metric fixed point theory.
Cambridge University Press (1990).
Goebel, K. and Reich, S.
[44]. Uniform convexity, Hyperbolic Geometry and
Nonexpansive Mappings.,
Marcel Dekker, New York (1984).
Gohde, D.
[45]. Zum Prinzip der Korntraktiven Abbildung.
Math. Nach. 30 (1965), 251-258.
173
Gupta, G., Shrivastava, M. and Banerjee, A.
[46]. Common fixed points for expansion mappings.
J.Ravi. Univ. 8 (B Sci.) (1995) (to appear)
Hadzic, o.
[47] . Common fixed points Theorems for a family of
mappings in complete metric spaces.
Math.Japonica 29 (1984), 127-134.
[48]. A generalization of the contraction principle in
PM spaces.
Review of research, Zb. Rad. (Kraguj eva c) ,
10 (1980)' 13-21.
Hardy, G.E. and Rogers,T.D.
[49] . A generalization of a fixed point theorem of
Reich.
Canad. Math.Bull. 16 (1973), 201-206.
Hicks, T.L.
[50] .Fixed point theory in probabilistic metric spaces.
Review of research, faculty of science Univ.
Novisad, Novisad., 13 (1983), 63-72.
Hong, Y.M. and Huang, Y.Y.
[51] . On A-firmly nonexpansive mappings in nonconvex
sets.
Bull.Ist. Math. Sinica, 21 (1993), 35-42.
174
Iseki, K.
[52]. On common fixed point theorems for mappings.
Math.Semin.Notes.Kobe.Nuiv. 2 (1974), 173-180.
Istratesu, V.I. and Sacuiu, I.
[53] . Fixed point theorems for contraction mappings on
Probabilistic metric spaces.
Rev. Roumaine Math. Pure. Appl. 18 (1973),
1375-1380.
Jungck, G.
[54). Commuting mappings and fixed point.
Amer.Math.Monthly, 83 (1976), 261-263.
[55). Compatible mappings and common fixed points.
Inter.J.Math. & Math.Sci. 9(4) (1986), 771-779.
[56]. Compatible mappings and common fixed point (2).
Internat. Math.Math.Sci. 11 (1988), 285-288.
[57] . Common fixed points of commuting and compatible
maps on compacta.
Proc.Amer.Math.Soc. 103 (1988), 977-983.
Junqck, G., Murthy, P.P. and Cho, Y.J.
[58). Compatible mappings of type (A) and common fixed
point.
Math. Japonica, 38(2) (1993), 381-390.
175
Kaneko, H.
[59]. Single-valued and multivalued f-contraction.
Bull. Un.Math.Intal., 4 (1985), 29-33.
Kang, S.M., Cho,Y.J and Jungck, G.
[60]. Common fixed points of compatible mappings.
Inter.J.Math and Math Sci., 13 (1990), 61-66.
Kang, S.M. and Rhoades, B.E.
[61]. Fixed points for four mappings.
Math. Japonica, 37(6) (1992), 1053-1059.
Kannan, R.
[62]. Some results on fixed points.
Bul.Cal.Math.Soc., 60 (1968), 71-76.
Karmardian, s.
[63]. Fixed point algorithms and applications.
Acad.Press. New York, (1977).
Kasahara, s.
[64]. On some recent results on fixed points II.
Math. Seminar Notes,Kobe Univ., 7 (1979), 123-131.
176
Khan, M.S.
[65]. Remarks on some fixed point theorems.
Demonstratio Math., 15 (1982), 375-379.
Khan, M.S. and Fisher, B.
[66] . Some fixed point theorems for commuting mappings.
Math.Nachr., 106 (1982), 323-326.
Khan, M.S. and Imdad, M.
[67]. Fixed point theorems for a class of mappings.
Comm.Fac.Sic.Unive.Ankara, 32 (1983), 105-115.
Khan, M.A., Khan, M.S. and Sessa, s.
[68] . Some theorems on expansion mappings and their
fixed points.
Demonstratio Math., 19 (1986), 673-683.
Kirk, W.A.
[69] . A fixed point theorem for mappings which do not
increase distance.
Amer.Math. Monthly, 72 (1965}, 1004-1006.
Kubiak, T.
[70). Common fixed points of pair wise commuting maps.
Math.Nachr., 118 (1984), 123-127.
177
Kulshrestha, c.
[71] . Single valued mappings, multivalued mappings and
fixed point theorems in metric spaces.
Ph.D. Thesis, Garhwal Univ. (Srinagar) (1983).
Martin (Jr.), R.H.
[72] . Nonlinear operators and differential equations in
Banach spaces.
John Wiley & Sons N.Y.London, (1976).
Matkowski, J.
[73] . Fixed point theorems for mappings with
contractive iterate at a point.
Proc. Amer. Math. Soc., 62 (1977), 344-348.
Meade, B.A. and Singh, S.P.
[74]. On common fixed point theorems.
Bull. ·Austral. math. Soc., 16 (1977), 49-53.
Menger, K.
[75] . Statistical metrics
Proc.Nat.Acad.Sci.USA, 28 (1942), 535-537.
Mukherjee, R.N.
[76]. Common fixed points of some nonlinear mappings.
Indian J.Pure & Appl.Math., 12 (1981),930-933.
178
Murthy, P.P.
[77]. Study on fixed point theorems.
Ph.D. Thesis, Ravi. Univ. (1992).
Murthy, P.P. and Sharma, B.K.
[78]. Some fixed point theorems on Saks spaces.
Bull.Call. Math. Soc. 84 (1992), 289-293.
Murthy, P.P., Sharma, B.K. and Cho, Y.J.
[79] . Coincidence Points and Common Fixed Points For
Compatible Maps Of Type (A) on Saks Spaces.
J.Math.Res.& Exp. 15(3) (1995), 353-361.
Naidu, S.V.R. and Rajendra Prasad, J.
[80]. Common fixed points for four self mappings on a
metric space.
Ind.J.Pure and Appl.Math. 16(10) (1985),1089-1103.
Okada, T.
[81]. Coincidence theorems on L-spaces.
Math. Japan., 28 (1981), 291-295.
Orlicz, w.
[82]. Linear operations in Saks spaces (I).
Stud. Math. 11 (1950), 237-271.
179
[83]. Linear operations in Saks spaces (II).
Stud. Math., 15 (1955), 1-25.
Orlicz, W. and Ptak, V.
[84]. Some remarks on Saks spaces.
Stud. Math., 16 (1957), 56-68.
Park, s.
[85] . On extension of the Cristi-Kirk fixed point
theorem.
J.Korean Math.Soc., 19 (1983), 143-151.
Park, S. and Rhoades, B.E.
[86]. Some fixed point theorems for expansion mappings.
Math.Japon., 33 (1) (1988), 129-132.
Pathak, H.K.
[87]. Weak commuting mappings and fixed points.
Indian J.Pure and Appl.Math. 17(L) (1986) 201-211.
Poincare, H.
[88] . Sur les courbes definis par les equations
differentielles.
Jour. De Math., 2 (1886)
180
Popa, v.
[89]. Fixed point theorems on expansion mappings.
Babes-bolyai Univ.Fac.Math. Phys. Res. seminar,
3 ( 19 8 7 ) , 2 5-3 0 . ( Prepr in t) .
[90]. Common fixed points of weakly commuting mappings.
J.of M.A.C.T., 22 (1989), 49-54.
[91] . Theorems of unique fixed point for expansion
mappings.
Dem.Math., 23 (1) (1990), 213-218.
Prasad, D.D.
[92] . Fixed point theorems of three mappings with a new
functional inequality.
Ind.J.Pure and Appl.Math. 16(10) (1985),1073-1077.
Rakotch, E.
[93]. A note on contractive mappings.
Proc Amer. Math. Soc., 13 (1962), 459-465.
Reich, s.
[94]. Some remarks concerning contraction mappings.
Canad. Math.Bull., 14 (1971), 121-124.
Rhoades, B.E.
[95] . A comparison of various definitions of
contractive mappings.
Trans. Amer. Math. Soc. 226 (1977), 257-290.
181
(96]. Some fixed point theorems for pairs of mappings.
Jnanabha, 15 (1985), 151-156.
[97]. Contractive definitions.
World Sc.Publ.Company N.J., (1988) 513-526.
[98]. Fixed point theorems for some family of maps.
Ind. J. Pure and Appl.Maths., 21(1) 1990 10-20.
[99] . A fixed point theorem for a pair of Expansive
maps.
Jnanabha 21 (1991), 117-118.
Rhoades, B.E., Park, S. and Moon, K.B.
[100] . On generalizations of the Meir-Keeler type
contraction maps.
J.Math.Anal.Appl., 146 (1990), 482-494.
Rhoades, B.E. and Sessa s.
[101]. Common fixed point theorems for 3-mappings under
a weak commutativity condition.
Indian J.Pure and Appl.Math. 17 (1986) 47-57.
Robinson, S.M.
[102]. Analysis and computation of fixed points.
Acad. Press, ( 1980) .
182
Sahani, D. and Bose, R.K.
[103] . Common fixed points of mappings in uniformly
convex Banach space.
Indian J.Pure Appl.Math.,15(6) (1984), 625-630.
Sahu, D.R. and Dewangan, C.L.
[104] . Compatibility of type (A) and common fixed
points.
Banyan. Math. Jour. 1, (1994), 49-57.
Schauder, J.
[105] . Aur theorie stetiger Abbildungen in fuctional
raumen.
Math. z., 26 (1922), 47-65.
[106]. Der fixpunktsatz in functional raumen.
Stud. Math. 2 (1930), 171-180.
Schweizer, B. and Sklar, A.
[107]. Statistical metric spaces.
Pacific J. Math. 10 (1960), 313-324.
[108]. Probabilistic metric spaces.
North Holland Series in probability and applied
math. s (1983).
183
Sehgal, V,M,
[109] . Some fixed point theorems in functional anlysis
and probability.
[Ph.D. Dissertation l Wayne State Univ. (1966).
[110]. A fixed point theorem for mappings with a
contractive iterate
Proc.Amer.Math.Sci. 23 (1969), 631-634.
[111] . On fixed and periodic points for a class of
mappings.
J.London Math. Soc. 5 (1972), 571-576.
Sehgal, V.M., Bharuch-Reid, A.T.
[112] . Fixed points of contraction mappings on
PM- spaces.
Mathematical system theory, 6 (1972), 97-100.
Sessa, s,
[113] . On a weak commutativity condition of mappings
in fixed point considerations.
Publ. Inst. Math., 32 (46) (1982), 149-153.
[114]. New contractive type mappings in metric space.
Math.Japon. 33 (5) (1988), 801-808.
184
•
Sessa, S. and Fisher, B.
[115] . Common fixed points of weakly commuting
mappings.
Bul. Poli .Acad.Math., 35 (5-6) (1987), 341-349.
Sessa, s., Mukherjee, R.N. and Som, T.
[116] . A common fixed point theorem for weakly
commuting mappings.
Math. Japon., 31 (1986), 235-245.
Sessa, s., Rhoades, B.E. and Khan, M.S.
[117]. On common fixed points of compatible mappings
in Banach spaces.
Internat.Math.Math. Sci., 11(2) (1988), 375-392.
Sharma, A.K.
[118]. Some results on periodic and fixed points.
Indian.J.Pure and Appl., 10 (1978), 752-760.
Sharma, B.K. and Sahu, D.R.
[119] . Uniform compatibility and nonlinear contraction
in Saks space .
Bul.Cal.Math.Soc., 87 (1995), 97-102.
[120] . 2-compatibility and its application.
Kyungpook J.Math., 36(1) (1996), (to appear).
185
[121] . Hybrid D-compatibility for solution of
functional equations.
Indian Acad.Math. (to appear) .
Sharma, B.K. and Sahu, N.K.
[122]. Common fixed points of three continuous·
mappings.
Math.Stud., 59 (1-4) (1991). 77-80.
Sharma, B.K., Sahu, N.K. and Thakur, B.S.
[123]. Common Fixed Points Of Compatible mappings.
Pure And Applied Mathematika Sciences xxxx (1-2)
(1994). 59-63.
Sharma, B.K. and Thakur, B.S.
[124]. A note on a paper of Singh and Chatterjee.
J .Ravi.Univ., 7 (B) (1994), 37-43.
Sharma, B.K., Thakur, B.S. and Banerjee, A.
[125] . Fixed points of firmly nonexpansive mappings in
nonconvex sets.
Ultra Scientist of Phy. Sci., 8(1),
(to appear)
186
(1996),
Sherwood, H.
[126]. Complete probabilistic metric spaces.
Z.Wahsch. Verb.Geb., 20 (1971), 117-128.
Singh, S.L.
[127]. On common fixed points of commuting mappings.
Math. Sem.Notes, 5 (1977), 131-134.
[128]. A note on common fixed point theorems for
commuting mappings on a metric space.
Anusandhan Patrika, (1983).
Singh, S.L., Ha, K.S. and Cho, Y.J.
[129] . Coincidence and fixed points of nonlinear Hybrid
Contractions.
Inter.J.Math and Math Sci., 12 (1989) 147-156.
Singh, S.P. and Meade, B.A.
[130]. On common fixed point theorems.
Bull.Aust.Math.Soc., 16 (1977), 49-53.
Singh, S.L. and Pant, B.D.
[131] . A common fixed point theorem in a space with two
matrics.
Pure and Appl. Math. Sci. XIV (1981), 35-37.
18'7
Singh, S.L. and Ram, B.
[132) . Common fixed points of commuting mapings in
2-metric spaces
Math. Seminar Notes, Kobe Univ., 10 (1982)
197-208.
Singh, S.L. and Singh, S,P,
[133) . A fixed point theorem.
Indian, J.Pure Appl.Math., 11 (1980), 1584-1586.
Singh, S.L. and Tiwari, B.M.L.
[134) . Common fixed points of mappings in complete
metric space.
Proc.Nat.Acad.Sci. India sect. A. 51 (1988),
41-44.
Singh, S,L, and Virendra
[135]. Coincidence theorems on 2-metric spaces.
Indian J.Phy.Nat.Sci., 2(B) (1982), 32-35.
Smart, D.R.
[136]. Fixed point theorems.
Cambridge Univ. Press., Cambridge, (1974).
188
Smarzewski, R.
[137]. On firmly nonexpansive mappings.
Proc. Amer. Math. Soc., 113 (1991), 723- 725.
Som, T.
[138] . A common fixed point result for asymptotically
regular mappings.
Jour. Math. Phy.Sci., 20 (6) (1986), 517-523.
[139] . Common fixed point theorems for asymptotically
commuting mappings in uniformly convex Banach
spaces.
Indian J.Math.,31 (2) (1989), 193-200.
Stojakovic, M.
[140) . Common fixed point theorems in complete metric
and probabilistic metric spaces.
Bull.Austral Math.Soc., 36 (1987), 73-88.
Swaminathan, s. (Edit)
[141). Fixed point theory and its applications.
(Proc. Seminar), Acad. Press., (1976).
Tiwari, B.M.L. and Singh, S.L.
[142] . A note on recent generalizations of Jungck
contraction principle.
J. Uttar Prasad Govt. College Acad. Soc. 3
(1986), 13-18.
189
Wang, s.z., Li, B.Y., Gao, Z.M. and Iseki, K.
[143). Some fixed point theorem on expansion
mappings.
Math.Japonica., 29 (1984), 631-636.
Yeh, C. c.
[144) . Common fixed point of continuous mappings in
metric spaces.
Publ.Inst.Math., 27 (41) (1980), 21-25.
[145] . On common fixed point theorem of continuous
mappings.
Ind.J.Pure. and Appl.Math., 10 (1979), 415-420.
* * *
190