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Common fixed point theorems for families of occasionally weakly compatible mappings. (English) Zbl 1217.54042
Summary: We prove some common fixed point theorems in probabilistic semi-metric spaces for families of occasionally weakly compatible mappings. We also give a common fixed point theorem for mappings satisfying an integral-type implicit relation.

54H25 Fixed-point and coincidence theorems (topological aspects)
54E70 Probabilistic metric spaces
Full Text: DOI
[1] Abbas, M.; Damjanović, B.; Lazović, R., Fuzzy common fixed point theorems for generalized contractive mappings, Appl. math. lett., 23, 1326-1330, (2010) · Zbl 1196.54062
[2] Abbas, M.; Rhoades, R.E., Common fixed point theorems for occasionally weakly compatible mappings satisfying a generalized contractive condition, Math. commun., 13, 295-301, (2008) · Zbl 1175.47050
[3] Cho, Y.J.; Saadati, R.; Damjanović, B., On convergence of ishikawa’s type iteration to a common fixed point in \(\mathcal{L}\)-fuzzy metric spaces, J. comput. anal. appl., 12, 76-82, (2010) · Zbl 1191.54035
[4] Imdad, M.; Ali, J., Jungck’s common fixed point theorem and E.A. property, Acta. math. sin.-English ser., 24, 87-94, (2008) · Zbl 1158.54021
[5] Vetro, C., Some fixed point theorems for occasionally weakly compatible mappings in probabilistic semi-metric spaces, Int. J. mod. math., 4, 277-284, (2009) · Zbl 1221.54073
[6] Jungck, G., Commuting mappings and fixed points, Amer. math. monthly., 73, 261-263, (1976) · Zbl 0321.54025
[7] Jungck, G., Compatible mappings and common fixed points, Int. J. math. math. sci., 9, 771-779, (1986) · Zbl 0613.54029
[8] Sessa, S., On a weak commutativity condition of mappings in fixed point considerations, Publ. inst. math., 32, 149-153, (1982) · Zbl 0523.54030
[9] Al-Thagafi, M.A.; Shahzad, N., Generalized I-nonexpansive selfmaps and invariant approximations, Acta. math. sin., 24, 867-876, (2008) · Zbl 1175.41026
[10] Jungck, G.; Rhoades, B.E., Fixed point theorems for occasionally weakly compatible mappings, Fixed point theory, 7, 286-296, (2006) · Zbl 1118.47045
[11] Menger, K., Statistical metrics, Nat. acad. sci. USA., 28, 535-537, (1942) · Zbl 0063.03886
[12] Popa, V., Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio math., 32, 157-163, (1999) · Zbl 0926.54030
[13] Ćirić, Lj.B.; Razani, A.; Radenović, S.; Ume, J.S., Common fixed point theorems for families of weakly compatible maps, Comput. math. appl., 55, 2533-2543, (2008) · Zbl 1142.54363
[14] Sedghi, S.; Altun, I.; Shobe, N., A fixed point theorem for multi-maps satisfying an implicit relation on metric spaces, Appl. anal. discrete math., 2, 189-196, (2008) · Zbl 1199.54245
[15] Singh, B.; Jain, S., A fixed point theorem in Menger space through weak compatibility, J. math. anal. appl., 301, 439-448, (2005) · Zbl 1068.54044
[16] Mocanu, M.; Popa, V., Some fixed point theorems for mappings satisfying implicit relations, Libertas math., 28, 1-13, (2008) · Zbl 1159.54007
[17] Popa, V.; Mocanu, M., A new viewpoint in the study of fixed points for mappings satisfying a contractive conditions of integral type, Bul. inst. politeh. lasi. sect. mat. mec. teor. fiz., 53, 57, 269-282, (2007), 5
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