COUPLED COINCIDENCE POINT RESULTS FOR GENERALIZED SYMMETRIC MEIR-KEELER CONTRACTION ON PARTIALLY ORDERED METRIC SPACES WITH APPLICATION
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We establish a coupled coincidence point theorem for generalized com- patible pair of mappings F; G : X £ X ! X under generalized symmetric Meir- Keeler contraction on a partially ordered metric space. We also deduce certain coupled ¯xed point results without mixed monotone property of F : X £ X ! X : An example supporting to our result has also been cited. As an application the so- lution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.
Abstract
We establish a coupled coincidence point theorem for generalized com- patible pair of mappings F; G : X £ X ! X under generalized symmetric Meir- Keeler contraction on a partially ordered metric space. We also deduce certain coupled ¯xed point results without mixed monotone property of F : X £ X ! X : An example supporting to our result has also been cited. As an application the so- lution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.
참고문헌 (17)
- V. Berinde, "Coupled fixed point theorems for φ-contractive mixed monotone mappings in partially ordered metric spaces", Nonlinear Analysis, 75, pp.3218~3228 (2012)
- V. Berinde, "Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces", Berinde and Pacurar Fixed Point Theory and Applications, 2012, pp.115~ (2012)
- T.G. Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal, 65(7), pp.1379~1393 (2006)
- L. Ciric, "Coupled fixed point theorems for gen-eralized Mizoguchi-Takahashi contractions with applications", Fixed Point Theory and Applications, 2012, pp.51~ (2012)
- B.S. Choudhury, "A coupled coincidence point results in partially ordered metric spaces for compatible mappings", Nonlinear Anal. TMA, 73, pp.2524~2531 (2010)
- Bhavana Deshpande, "Nonlinear mixed monotone-generalized contractions on partially ordered modified intuitionistic fuzzy metric spaces with application to integral equations", Afrika Matematika, 26(3-4), pp.317~343 (2015), Springer Nature[DOI]
- B. Deshpande, "Application of coupled fixed point technique in solving integral equations on modified intuitionistic fuzzy metric spaces", Advances in Fuzzy Systems, 2014, pp.11~, Hindawi Publishing Corporation
- H.S. Ding, "Coupled coincidence point theorems for general-ized nonlinear contraction in partially ordered metric spaces", Fixed Point Theory and Applications, 2012, pp.96~ (2012)
- M.E. Gordji, "Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces", Fixed Point Theory and Applications, 2012, pp.95~ (2012)
- N. Hussain, "Coupled coincidence point results for a generalized compatible pair with applications", Fixed Point Theory and Applications, 2014, pp.62~ (2014)
- V. Lakshmikantham, "Coupled fixed point theorems for nonlinear contrac-tions in partially ordered metric spaces", Nonlinear Analysis: Theory, Method and Ap-plications, 70(12), pp.4341~4349 (2009)
- N.V. Luong, "Coupled fixed points in partially ordered metric spaces and application", Non-linear Anal, 74, pp.983~992 (2011)
- A. Meir, "A theorem on contraction mappings", J. Math. Anal. Appl, 28, pp.326~329 (1969)
- M. Mursaleen, "Coupled fixed point theorems for alpha-psi contractive type mappings in partially ordered metric spaces", Fixed Point Theory and Applications, 2012, pp.228~ (2012)
- B. Samet, "Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces", Nonlinear Anal, 72, pp.4508~4517 (2010)
- B. Samet, "Discussion on some coupled fixed point theorems", Fixed Point Theory and Applications, 2013, pp.50~ (2013)
- W. Sintunavarat, "Coupled fixed point theorems for nonlinear contractions without mixed monotone property", Fixed Point Theory and Applications, 2012, pp.170~ (2012)