Discussion on a coupled fixed point theorem for single-valued operators in b-metric spaces

Volume 10, Issue 6, pp 3109--3114 http://dx.doi.org/10.22436/jnsa.010.06.25

Publication Date: June 25, 2017 Submission Date: June 18, 2016

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Authors

Yanbin Sang - Department of Mathematics, North University of China, Taiyuan, Shanxi, 030051, China. Dongxia Zhao - Department of Mathematics, North University of China, Taiyuan, Shanxi, 030051, China.

Abstract

In this note, an existence and uniqueness theorem of fixed points for single-valued mappings in partially ordered b-metric spaces is established. As a corollary, the contraction constant for a coupled fixed point theorem obtained in a recent paper is relaxed from \([0,\frac{1}{s} )\) to \([0, 1)\). Furthermore, a system of integral equation is also discussed.

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ISRP Style

Yanbin Sang, Dongxia Zhao, Discussion on a coupled fixed point theorem for single-valued operators in b-metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3109--3114

AMA Style

Sang Yanbin, Zhao Dongxia, Discussion on a coupled fixed point theorem for single-valued operators in b-metric spaces. J. Nonlinear Sci. Appl. (2017); 10(6):3109--3114

Chicago/Turabian Style

Sang, Yanbin, Zhao, Dongxia. "Discussion on a coupled fixed point theorem for single-valued operators in b-metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3109--3114

Keywords

b-metric space
contractive condition
partial order
coupled fixed point
mixed monotone operator.

MSC

47H10
54H25

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