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Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces. (English) Zbl 1262.54017

Dans cet article les auteurs introduisent le concept de point de coincidence triple pour une paire d’applications contractives et obtiennent des résultats remarcables que généralisent des résultats importants dues aux auteurs très connues.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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[1] Abbas, M.; Ali Khan, M.; Radenović, S., Common coupled fixed point theorems in cone metric spaces for \(w\)-compatible mappings, Appl. Math. Comput., 217, 1, 195-202 (2010) · Zbl 1197.54049
[2] Abbas, M.; Khan, A. R.; Nazir, T., Coupled common fixed point results in two generalized metric spaces, Appl. Math. Comput., 217, 13, 6328-6336 (2011) · Zbl 1210.54048
[3] Altun, I.; Damjanović, B.; Djorić, D., Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett., 23, 3, 310-316 (2010) · Zbl 1197.54052
[4] Altun, I.; Rakocević, V., Ordered cone metric spaces and fixed point results, Comput. Math. Appl., 60, 5, 1145-1151 (2010) · Zbl 1201.65084
[5] Beg, I.; Abbas, M., Fixed points and invariant approximation in random normed spaces, Carpathian J. Math., 26, 1, 36-40 (2010) · Zbl 1212.47038
[6] Berinde, V., Some remarks on a fixed point theorem for Ćirić-type almost contractions, Carpathian J. Math., 25, 2, 157-162 (2009) · Zbl 1249.54078
[7] Berinde, V., Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces, Nonlinear Anal., 74, 7347-7355 (2011) · Zbl 1235.54024
[8] Berinde, V.; Borcut, M., Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal., 74, 4889-4897 (2011) · Zbl 1225.54014
[9] Choudhury, B. S.; Kundu, A., A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Anal., 73, 2524-2531 (2010) · Zbl 1229.54051
[10] Gnana Bhaskar, T.; Lakshmikantham, V., Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65, 7, 1379-1393 (2006) · Zbl 1106.47047
[11] Karapinar, E., Coupled fixed point theorems for nonlinear contractions in cone metric spaces, Comput. Math. Appl., 59, 12, 3656-3668 (2010) · Zbl 1198.65097
[12] Lakshmikantham, V.; Ćirić, L., Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal., 70, 4341-4349 (2009) · Zbl 1176.54032
[13] Nguyen, V. L.; Nguyen, X. T., Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal., 74, 983-992 (2011) · Zbl 1202.54036
[14] Nieto, J. J.; Rodriguez-Lopez, R., Contractive mapping theorems in partially ordered sets and applications to ordinary diferential equations, Order, 22, 3, 223-239 (2005), 2006 · Zbl 1095.47013
[15] Nieto, J. J.; Rodriguez-Lopez, R., Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta. Math. Sin. (Engl. Ser.), 23, 12, 2205-2212 (2007) · Zbl 1140.47045
[16] Ran, A. C.M.; Reurings, M. C.B., A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc., 132, 5, 1435-1443 (2004) · Zbl 1060.47056
[17] Sabetghadam, F.; Masiha, H. P.; Sanatpour, A. H., Some coupled fixed point theorems in cone metric spaces, Fixed Point Theory. Appl., 8 (2009), Art. ID 125426 · Zbl 1179.54069
[18] Samet, B., Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces, Nonlinear Anal., 72, 12, 4508-4517 (2010) · Zbl 1264.54068
[19] Sedghi, S.; Altun, I.; Shobe, N., Coupled fixed point theorems for contractions in fuzzy metric spaces, Nonlinear Anal., 72, 3-4, 1298-1304 (2010) · Zbl 1180.54060
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