Some common coupled fixed point results in two Smetric spaces and applications to integral equations
Authors
Liya Liu
 Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.
Feng Gu
 Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China.
Abstract
The purpose of this paper is to prove some new coupled common fixed point theorems for mappings
defined on a set equipped with two Smetrics. We also provide illustrative examples in support of our new
results. Meantime, we give an existence and uniqueness theorem of solution for a class of nonlinear integral
equations by using the obtained result.
Keywords
 Smetric space
 contractive mappings
 coupled coincidence point
 coupled common fixed point
 mixed gmonotone property.
MSC
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