Some common coupled fixed point results in two S-metric spaces and applications to integral equations

Volume 9, Issue 6, pp 3527--3544 http://dx.doi.org/10.22436/jnsa.009.06.08

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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 S-metrics. 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.

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Keywords

• S-metric space
• contractive mappings
• coupled coincidence point
• coupled common fixed point
• mixed g-monotone property.

MSC

•  47H10
•  54H25

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