Coupled fixed point theorems for new contractive mixed monotone mappings and applications to integral equations
Keyword(s):
The aim of this paper is to extend the results of Bhaskar and Lakshmikantham and some other authors and to prove some new coupled fixed point theorems for mappings having a mixed monotone property in a complete metric space endowed with a partial order. Our theorems can be used to investigate a large class of nonlinear problems. As an application, we discuss the existence and uniqueness for a solution of a nonlinear integral equation.
2020 ◽
pp. 492-502
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2012 ◽
Vol 2012
(1)
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pp. 170
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2013 ◽
Vol 2013
(1)
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pp. 217
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Keyword(s):
Common coupled fixed point theorems for $$w^*$$ -compatible mappings without mixed monotone property
2012 ◽
Vol 61
(3)
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pp. 361-383
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