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

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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… Click to show full 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.

Keywords: using weakly; weakly compatible; equations using; solving integral; metric spaces; integral equations

Journal Title: Axioms
Year Published: 2022

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