ISSN : 1226-0657
In this paper, we obtain a common fixed point theorem for multivalued mappings in a complete Menger <TEX>$\mathcal{L}$</TEX>-fuzzy metric space. <TEX>$\mathcal{L}$</TEX>-fuzzy metric space is a generalization of fuzzy metric spaces and intuitionistic fuzzy metric spaces. We extend and generalize the results of Kubiaczyk and Sharma [24], Sharma, Kutukcu and Rathore [34].
(1984). Fixed point theorems for fuzzy numbers. Fuzzy Sets and Systems, 13, 291-302. 10.1016/0165-0114(84)90063-0.
(1985). On the theory of probabilistic matric spaces with applications. Acta Math Sinica, 1(4), 366-377. 10.1007/BF02564846.
(1997). Coincidence point and minimization theorems in fuzzy metric spaces. Fuzzy Sets and Systems, 88(1), 119-128. 10.1016/S0165-0114(96)00060-7.
(1994). Common fixed point theorems for multivalued mappings in Menger PM-space. Math. Japonica, 40(2), 289-293.
(1997). Fixed points in fuzzy metric spaces. J. Fuzzy Math., 5(4), 949-962.
(2007). Common fixed point for multimaps in Menger spaces. Quatar Univ. Sci. J., 27, 11-15.
(2009). Fixed point and (DS)-weak commutativity condition in intuitionistic fuzzy metric spaces. Chaos Solitons Fractals, 42, 2722-2728. 10.1016/j.chaos.2009.03.178.
(2003). On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems, 133, 227-235. 10.1016/S0165-0114(02)00127-6.
(1962). On fixed and periodic points under contaraction mappings. J. London Math. Soc., 37, 74-79. 10.1112/jlms/s1-37.1.74.
(1998). On the uncertainity of cantorian geometry and two-slit experiments. Chaos Solitons Fractals, 9(5), 517-529. 10.1016/S0960-0779(97)00150-1.
(2004). A review of E-infinity theory and mass spectrum of high energy particle physics. Chaos Solitons Fractals, 19, 209-236. 10.1016/S0960-0779(03)00278-9.
(2005). On a fuzzy Kahler-like manifold which is cosistent with two-slit experiment. Int. J. Nonlinear Sci. Numer. Simul., 6, 95-98.
(2006). A note on intuitionistic fuzzy metric spaces. Chaos Solitons Fractals, 28, 902-905. 10.1016/j.chaos.2005.08.113.
(2006). The idealized quantum two-slit Gedanken experiment revisited -Criticism and reinterpretation. Chaos Solitons Fractals, 27, 9-13. 10.1016/j.chaos.2005.05.010.
(1992). On fixed point theorems in fuzzy metric spaces. Fuzzy Sets and Systems, 46, 107-113. 10.1016/0165-0114(92)90271-5.
(2002). On fixed-point theorem in fuzzy metric spaces. Fuzzy Sets and Systems, 125, 245-252. 10.1016/S0165-0114(00)00088-9.
(1994). On some results in fuzzy metric spaces. Fuzzy Sets and Systems, 64, 395-399. 10.1016/0165-0114(94)90162-7.
(1967). L-fuzzy sets. J. Math. Anal. Appl., 18, 145-174. 10.1016/0022-247X(67)90189-8.
(1988). Fixed points in fuzzy metric space. Fuzzy Sets and Systems, 27, 385-389. 10.1016/0165-0114(88)90064-4.
(1989). Fixed point theorems for multivalued mappings in some classes of fuzzy metric spaces. Fuzzy Sets and Systems, 29, 115-125. 10.1016/0165-0114(89)90140-1.
Fixed point theory in probabilistic Metric speaces;Vol 536 of Mathematics and its Applications.
(1994). Minimization theorems for fixed point theorems in fuzzy metric spaces and applications. Fuzzy Sets and Systems, 61, 199-207. 10.1016/0165-0114(94)90234-8.
(1996). Coincidence theorems for set valued and mappings and Ekland's variational principle in fuzzy metric spaces. Fuzzy Sets and Systems, 79, 239-250. 10.1016/0165-0114(95)00084-4.
(1994). Common fixed points of maps on fuzzy metric spaces. Internat. J. Math. Math. Sci., 17, 253-258. 10.1155/S0161171294000372.
(2002). Common fixed point theorem, Multimaps in fuzzy metric space East. Asian Math. J., 18(2), 175-182.
(1975). Fuzzy metric and statistical metric spaces. Kybernetika, 11, 326-334.
(1998). Fixed point theorems for upper semicontinuous and weakly upper semicontinuous multivalued mappings. Math. Japonica, 47(2), 237-240.
(2004). Banach contraction theorem in fuzzy metric spaces. Fuzzy Sets and Systems, 144, 431-439. 10.1016/S0165-0114(03)00305-1.
(2004). Intuitionistic fuzzy metric spaces. Chaos Solitons Fractals, 22, 1039-1046. 10.1016/j.chaos.2004.02.051.
(2006). On the intuitionistic fuzzy topological spaces. Chaos Solitons Fractals, 2, 331-344.
(2006). Intuitionistic fuzzy Euclidean normed spaces. Comman. in Math. Anal., 1(2), 85-90.
(2008). Notes to the paper "Fixed points in intuitionistic fuzzy metric spaces" and its generalization to L-fuzzy metric spaces. Chaos Solitons Fractals, 3, 176-180.
(2007). A common fixed point theorem in L-fuzzy metric spaces. Chaos Solitons Fractals, 33, 358-363. 10.1016/j.chaos.2006.01.023.
(2002). Common fixed points of compatible maps of type (<TEX>${\beta}$</TEX>) on fuzzy metric spaces. Demonstratio Math., 35(1), 165-174.
(2007). Related fixed point theorem for four mappings on two fuzzy metric spaces. Int. J. Pure Appl. Math., 41(2), 241-250.
(2003). Discontinuity and weak compatibility in fixed point consideration on non complete fuzzy metric spaces. J. Fuzzy Math., 11(2), 671-686.
(2005). COMMON FIXED POINTS WITHOUT CONTINUITY IN FUZZY METRIC SPACES. The Pure and Applied Mathematics, 12(4), 289-306.
(2006). Common fixed point theorems for non-compatible mappings and Meir-Keeler type contractive condition in fuzzy metric space. Int. Rev. fuzzy Math., 1(2), 147-159.
(2008). Common fixed point theorems for finite number of mappings without continuity and compatibility on fuzzy metric spaces. Math. Morav, 12, 43-61.
(2010). Common fixed point theorems for finite number of mappings without continuity and compatibility on fuzzy metric spaces. Fuzzy Systems Math., 24(2), 73-83.
(2010). A fixed point theorem in intuitionistic fuzzy metric spaces by using new commutativity condition. Fuzzy Systems Math., 24(4), 151-161.
(2011). On intuitionistic fuzzy (<TEX>${\psi}-{\phi}$</TEX>) contractive mapping in non-Archimedean intuitionistic fuzzy metric spaces. J. Fuzzy Math., 19(3), 625-632.
(2009). Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces. Chaos Solitons Fractals, 40, 2242-2256. 10.1016/j.chaos.2007.10.011.
(2003). Common coincidence point in fuzzy metric space. J. Fuzzy Mathematics, 11(1), 1-5.
(2009). COMPATIBLE MAPPINGS OF TYPE (I) AND (II) ON INTUITIONISTIC FUZZY METRIC SPACES IN CONSIDERATION OF COMMON FIXED POINT. Communications of the Korean Mathematical Society, 24(2), 197-214. 10.4134/CKMS.2009.24.2.197.
(2009). RELATED FIXED POINT THEOREM ON TWO INTUITIONISTIC FUZZY METRIC SPACES. The Pure and Applied Mathematics, 16(4), 345-357.
(2007). COMMON FIXED POINT FOR MULTIVALUED MAPPINGS IN INTUITIONISTIC FUZZY METRIC SPACES. Communications of the Korean Mathematical Society, 22(3), 391-399. 10.4134/CKMS.2007.22.3.391.
(1998). Contractions on PM-space examples and counterexamples. Stochastica, 1, 5-17.
(1965). Fuzzy sets. Inform. Control, 8, 338-353. 10.1016/S0019-9958(65)90241-X.