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Mappings of Generalized Condensing Type in Metric Spaces with Busemann Convex Structure

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Related to earlier work on existence results of best proximity points (pairs) for cyclic (noncyclic) condensing operators of integral type in the setting of reflexive Busemann convex spaces, in this… Click to show full abstract

Related to earlier work on existence results of best proximity points (pairs) for cyclic (noncyclic) condensing operators of integral type in the setting of reflexive Busemann convex spaces, in this paper, we introduce another class of cyclic (noncyclic) condensing operators and study the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in such spaces. Then, we present an application of our main existence result to study the existence of an optimal solution for a system of differential equations.

Keywords: existence; busemann convex; points pairs; type; proximity points; best proximity

Journal Title: Bulletin of The Iranian Mathematical Society
Year Published: 2020

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