Work

Two Types of Proximal Connected-Image Contractions in b-Metric Spaces and Applications to Fractional Differential Models

Year: 2026

Type: article

Abstract: In this paper, we introduce a new class of proximal connected-image contractions in the framework of b-metric spaces endowed with a directed graph. By employing auxiliary functions, we establish several existence and uniqueness results for best proximity points and fixed points under appropriate contractive conditions. To demonstrate the applicability of our theoretical findings, we apply the main results to a class of fractional differential equations, showing the effectiveness of the proposed approach.

Source: Mathematics

DOI: 10.3390/math14020262

Authors: Khuanchanok Chaichana, Ben Wongsaijai, Adsadang Himakalasa, Phakdi Charoensawan

Institutions: Centre of Excellence in Mathematics, Ministry of Higher Education, Science, Research and Innovation, Chiang Mai University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: Chiang Mai University, Ministry of Higher Education, Science, Research and Innovation, Thailand