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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Some application fixed point in r-convex 𝔖𝒷 - metric spaces

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pp. 1459–1465Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2533XML
Received:
01 Nov 2025
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2533
Pages:
1459–1465

Abstract

A notion for convex structures on metric space, first introduce by Takahashi [1] and has become an important part of the theory of fixed points and nonlinear analysis. This framework can be generalized in the present paper by introduces r-convex metric spaces notion, i.e., the metric spaces endowed with an r-convex structures. We construct and establish a fixed - points theorem on r-convex metric space on the basis of this new proposed structure. Some of the basic findings regarding the fixed points of the r-convex framework are rigorously established and addressed. We use the theoretical discoveries to prove that solutions to a set of integral equations exist. Moreover, graphic example is provide to demonstrates validity and applicability for the derived findings.

Keywords

Subject Classifications

47H1054H25

References

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