Existence of best proximity points for the sum of two operators-Reference-Cited by-同舟云学术

Existence of best proximity points for the sum of two operators

Published:2023 Issue:23 Volume:37 Page:7831-7837
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Poonguzali G.¹,Golubovic Zorana²^ORCID,Radenovic Stojan²^ORCID

Affiliation:

1. Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India

2. Faculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia

Abstract

In this paper, we work on the existence of approximate solution for the fixed point equation Rx + Qx = x, when R is a weak contractive mapping and Q is a continuous self-map which is a new topic related to the background literature. Till now, no results were found to find the existence of approximate solution for such a kind of mappings in literature to the best of our knowledge. Here we prove the existence of best proximity point for the sum of a weak contractive non self map and a continuous self map. Also, we provide an example to support our main theorem. And also, we prove the existence of best proximity point for the sum of Geraghty-contraction and continuous map.

Publisher

National Library of Serbia

Reference20 articles.

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