Common coupled fixed point results in multiplicative metric spaces and applications

Volume 10, Issue 4, pp 1881--1895 http://dx.doi.org/10.22436/jnsa.010.04.48

Publication Date: April 20, 2017 Submission Date: February 05, 2017

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Authors

Yun Jiang - 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

In the framework of a multiplicative metric space, by using the concept of \(w^*\)-compatible mappings, we establish some new common coupled fixed point theorems for two mappings satisfying \(\phi\)-type contractive condition. We do not use the condition of continuity of any mapping for finding the coupled coincidence and common coupled fixed point. Meantime, we also provide some examples to support our new results. As an application, we provide an existence and uniqueness theorem of common solution for a class of nonlinear integral equations by using the obtained new result.

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ISRP Style

Yun Jiang, Feng Gu, Common coupled fixed point results in multiplicative metric spaces and applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1881--1895

AMA Style

Jiang Yun, Gu Feng, Common coupled fixed point results in multiplicative metric spaces and applications. J. Nonlinear Sci. Appl. (2017); 10(4):1881--1895

Chicago/Turabian Style

Jiang, Yun, Gu, Feng. "Common coupled fixed point results in multiplicative metric spaces and applications." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1881--1895

Keywords

Multiplicative metric spaces
coupled coincidence point
coupled common fixed point
\(w^*\)-compatible mapping pairs.

MSC

47H10
54H25

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