Some new coupled fixed point theorems in partially ordered complete probabilistic metric spaces

Volume 9, Issue 3, pp 1116--1128 http://dx.doi.org/10.22436/jnsa.009.03.39

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Authors

Qiang Tu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Chuanxi Zhu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Zhaoqi Wu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China. Xiaohuan Mu - Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.

Abstract

In this paper, we weaken the notion of \(\Psi\) of Luong and Thuan, [V. N. Luong, N. X. Thuan, Nonlinear Anal., 74 (2011), 983-992] and prove some new coupled coincidences and coupled common fixed point theorems for mappings having a mixed g-monotone property in partially ordered complete probabilistic metric spaces. As an application, we discuss the existence and uniqueness for a solution of a nonlinear integral equation.

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Keywords

• Coupled fixed point
• mixed g-monotone mappings
• partially ordered
• probabilistic metric space.

MSC

•  47H10
•  46S10

References

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