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We establish a coupled coincidence point theorem for generalized com- patible pair of mappings under generalized nonlinear contraction on a partially or- dered metric space. We also deduce certain coupled fixed 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 solution of integral equations are obtained here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.
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참고문헌 (19)
참고문헌 신청
V. Berinde / 2012 / Coupledxed point theorems for '¡contractive mixed monotone mappings in partially ordered metric spaces / Nonlinear Anal 75:3218~3228
T.G. Bhaskar / 2006 / Fixed point theorems in partially ordered metric spaces and applications / Nonlinear Anal 65(7):1379~1393
L. Ciric / 2012 / Coupledxed point theorems for gen-eralized Mizoguchi-Takahashi contractions with applications / Fixed Point Theory and Appl 2012:51
B.S. Choudhury / 2010 / A coupled coincidence point results in partially ordered metric spaces for compatible mappings / Nonlinear Anal. TMA 73:2524~2531
B. Deshpande / Nonlinear mixed monotone-generalized contractions on partially ordered modied intuitionistic fuzzy metric spaces with application to integral equations / Afr. Mat
T.G. Bhaskar / 2006 / Fixed point theorems in partially ordered metric spaces and applications / Nonlinear Anal 65(7):1379~1393
L. Ciric / 2012 / Coupledxed point theorems for gen-eralized Mizoguchi-Takahashi contractions with applications / Fixed Point Theory and Appl 2012:51
B.S. Choudhury / 2010 / A coupled coincidence point results in partially ordered metric spaces for compatible mappings / Nonlinear Anal. TMA 73:2524~2531
B. Deshpande / Nonlinear mixed monotone-generalized contractions on partially ordered modied intuitionistic fuzzy metric spaces with application to integral equations / Afr. Mat
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