Fixed point results for a pair of mappings in Banach space for enriched contraction condition with application in integral calculus

Fixed point results for a pair of mappings in Banach space for enriched contraction condition with application in integral calculus

The purpose of this paper is to establish some new common fixed point results for a pair of conditionally sequential absorbing self-mappings satisfying an enriched contraction condition in Banach space by introducing the notion of weaker form of continuity. We have also illustrated an example in sup...

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Hauptverfasser: Goel, Priya, Singh, Dimple
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Banach spaces
Integral calculus
Integral equations
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description The purpose of this paper is to establish some new common fixed point results for a pair of conditionally sequential absorbing self-mappings satisfying an enriched contraction condition in Banach space by introducing the notion of weaker form of continuity. We have also illustrated an example in support of our main result. Further, to make our result more effective, we have established the existence and the uniqueness of the solution of an Integral equation as an application of our main result with an example.
doi_str_mv 10.1063/5.0201637
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source AIP Journals Complete
subjects Banach spaces
Integral calculus
Integral equations
title Fixed point results for a pair of mappings in Banach space for enriched contraction condition with application in integral calculus
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