Work

Best Proximity Points for Weak Proximal Enriched G-contractions in Graphical Convex Metric Spaces

Year: 2025

Type: article

Abstract: In this paper, we redefine the concept of a graphical convex metric space involving sets with a graphical structure, and a new class of non-self mappings, called weak proximal enriched $ G- $contractions, is introduced in the aforementioned space. Moreover, we demonstrate the existence of best approximation points for two types of weak proximal enriched $ G- $contractions in graphical convex metric spaces, under suitable control conditions. Additionally, we provide examples to confirm our main results.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240484

Authors: Chaobo Li, Yunan Cui, Rizwan Anjum

Institutions: Harbin University of Science and Technology, University of Okara, University of Education

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533697

FWCI: 1.865

Cites:

Cited by: 1

Related to: 10