Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations

Author:

Chen Gui-Xiu,Jabeen Shamoona,Rehman Saif UrORCID,Khalil Ahmed Mostafa,Abbas Fatima,Kanwal Arzoo,Ullah Hayat

Abstract

AbstractIn this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed monotone property, and also present some coupled fixed results using the partial order metric in the said space. We present some strong coupled fixed point theorems using cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. Moreover, we present an application of nonlinear integral equations for the existence of a unique solution to support our work.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference39 articles.

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