Solving Integral Equations Using Weakly Compatible Mappings via D*-Metric Spaces

Author:

Butush Roqia,Mustafa Zead,Jaradat M. M. M.

Abstract

We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, we obtain several common fixed point results by using these types of mappings and the (E.A) property. We then employ the fixed point results to establish the existence and uniqueness of a solution for a class of nonlinear integral equations.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference16 articles.

1. Fixed Point Theory in Metric Type Spaces;Agarwal,2015

2. Metric Fixed Point Theory: Applications in Science, Engineering and Behavioural Sciences;Debnath,2021

3. Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications

4. Some New Common Fixed Point Theorems under Strict Contractive Conditions inG-Metric Spaces

5. On common fixed points in G-metric spaces using (E.A) property

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