Coupled fixed point results for nonlinear integral equations |
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Authors: | Wutiphol Sintunavarat Poom Kumam |
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Institution: | Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok 10140, Thailand |
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Abstract: | In this paper, we prove some coupled coincidence point theorems for such nonlinear contraction mappings having a mixed monotone property in partially ordered metric spaces by dropping the condition of commutative. We also prove coupled common fixed point theorem for w-compatible mappings. An example of a nonlinear contraction mapping which is not applied by Lakshmikantham and ?iri?’s theorem 1] but applied by our result is given. Further, we apply our results to the existence theorem for solution of nonlinear integral equations. |
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Keywords: | Coupled fixed point Coupled coincidence point Coupled common fixed point Mixed monotone property Partially ordered set Integral equations 47H10 47H09 54H25 |
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