Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483600 | Journal of the Egyptian Mathematical Society | 2013 | 7 Pages |
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 Ćirić’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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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Wutiphol Sintunavarat, Poom Kumam,