Best proximity point (pair) results via MNC in Busemann convex metric spaces-Reference-Cited by-同舟云学术

Best proximity point (pair) results via MNC in Busemann convex metric spaces

Published:2022-10-03 Issue:2 Volume:23 Page:405-424
ISSN:1989-4147
Container-title:Applied General Topology
language:
Short-container-title:Appl. Gen. Topol.

Author:

Gabeleh Moosa^ORCID,Patle Pradip Ramesh^ORCID

Abstract

In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces. Then an application of the main existence result to study the existence of an optimal solution for a system of differential equations is demonstrated.

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Reference23 articles.

1. R. R. Akhmerov, M. I. Kamenskii, A. S. Potapov, A. E. Rodkina and B. N. Sadovskii, Measures of Noncompactness and Condensing Operators, vol. 55, Birkhäuser, Basel, 1992. https://doi.org/10.1007/978-3-0348-5727-7

2. M. Ayerbe Toledano, T. Dominguez Benavides and G. Lopez Acedo, Measures of noncompactness in metric fixed point theory, Operator Theory: Advances and Applications, vol. 99, Birkhäuser, Basel (1997). https://doi.org/10.1007/978-3-0348-8920-9

3. G. C. Ahuja, T. D. Narang and S. Trehan, Best approximation on convex sets in a metric space, J. Approx. Theory 12 (1974), 94-97. https://doi.org/10.1016/0021-9045(74)90062-8

4. A. Berdellima, Complete sets and closure of their convex hulls in CAT(0) spaces, arXiv:2109.06002v1.

5. M. R. Bridson and A. Haefliger, Metric spaces of non-positive curvature, Springer-Verlag, Berlin Heidelberg, 1999. https://doi.org/10.1007/978-3-662-12494-9

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