Existence of Best Proximity Pairs and a Generalization of Carathéodory Theorem

DOI10.1080/01630563.2020.1859529OpenAlexW3116035699MaRDI QIDQ4985166

G. Sankara Raju Kosuru, Abhik Digar

Publication date: 22 April 2021

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2020.1859529

zbMATH Keywords

initial value problemCarathéodory extension theorembest proximity pairbest approximate solutionrelatively continuous mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Applications of operator theory to differential and integral equations (47N20) Initial value problems for nonlinear first-order PDEs (35F25)

Cites Work

• Extensions of two fixed point theorems of F. E. Browder
• Fixed point theorems for point-to-set mappings and the set of fixed points
• An Introduction to Banach Space Theory
• Proximal normal structure and relatively nonexpansive mappings
• Fixed points of compact multifunctions
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