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Global optimization on a metric space with a graph and an application to PBVP by Digar, Abhik; K, G. S. Raju is a scholarly article available to read on EtoBox.

What is Global optimization on a metric space with a graph and an application to PBVP about?

In this article we introduce a new type of cyclic contraction mapping on a pair of subsets of a metric space with a graph and prove best proximity points results for the same. Also, we demonstrate that the number of such points is same with the number of connected subgraphs. Hereafter, we introduce a fixed point mapping obtained from the aforesaid cyclic contraction and prove some fixed point theorems which will be used to find a common solution for a system of periodic boundary value problems. Our results unify and subsume many existing results in the literature.

Author

Digar, Abhik; K, G. S. Raju

Published

2021

Language

EN