Journal ArticleDOI
Best Proximity Point Results via Measure of Noncompactness and Application
TLDR
In this paper, the best proximity results for cyclic and noncyclic F G -contractive operators in (strictly convex) Banach spaces are obtained via the measure of noncompactness.Abstract:
Best proximity results for cyclic and noncyclic F G -contractive operators in (strictly convex) Banach spaces are obtained via the measure of noncompactness. The work extends some of recent investi...read more
Citations
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On a new variant of F-contractive mappings with application to fractional differential equations
TL;DR: In this paper , the existence of best proximity points (pairs) using the notion of measure of noncompactness was proved using generalized classes of cyclic (noncyclic) F-contractive operators.
References
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Journal ArticleDOI
Limit-compact and condensing operators
TL;DR: In this paper, the authors present a survey of work concerning limit-compact operators, measures of noncompactness, and condensing operators, which is a generalization of the theory of completely continuous and contracting operators.
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Proximal normal structure and relatively nonexpansive mappings
TL;DR: The notion of proximal normal structure is introduced and used to study mappings that are "relatively nonexpansive" in the sense that they are defined on the union of two subsets A and B of a Banach space X and satisfy k T x − T yk ≤ k x − yk for all x ∈ A, y ∈ B as discussed by the authors.
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Solvability of functional-integral equations (fractional order) using measure of noncompactness
TL;DR: In this article, the authors investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space.