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4. Existence of Best Proximity Pairs and a Generalization of Carathéodory Theorem.

Author

Digar, Abhik and Kosuru, G. Sankara Raju

Subjects
*INITIAL value problems, *GENERALIZATION, *BANACH spaces
Abstract

A new class of mappings, called relatively continuous, is introduced and incorporated to elicit best proximity pair theorems for a non-self-mapping in the setting of reflexive Banach space. As a consequence we obtain a generalization of Carathéodory extension theorem for an initial value problem with L1 functions on the right hand side. [ABSTRACT FROM AUTHOR]

Published
2020
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