The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation

Author:

Achtoun YoussefORCID,Radenović StojanORCID,Tahiri IsmailORCID,Lamarti Sefian MohammedORCID

Abstract

The probabilistic cone b-metric space is a novel concept that we describe in this study along with some of its fundamental topological properties and instances. We also established the fixed point theorem for the probabilistic nonlinear Banach contraction mapping on this kind of spaces. Many prior findings in the literature are generalized and unified by our findings. In order to illustrate the basic theorem in ordinary cone b-metric spaces, some related findings are also provided with an application to integral equation.

Publisher

Vilnius University Press

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces;Journal of Advances in Applied & Computational Mathematics;2024-08-14

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