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

Liu, Liya¹ ; Gu, Feng¹

¹ Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 6, p. 3527-3544.

Résumé

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.

Détail

DOI : 10.22436/jnsa.009.06.08

Classification : 47H10, 54H25
Keywords: S-metric space, contractive mappings, coupled coincidence point, coupled common fixed point, mixed g-monotone property.

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