Applying Theorems on <i>b</i>-Metric Spaces to Differential and Integral Equations Through Connected-Image Contractions

Applying Theorems on <i>b</i>-Metric Spaces to Differential and Integral Equations Through Connected-Image Contractions

This paper introduces a new concept of a connected-image set for a mapping, which extends the notion of edge-preserving properties with respect to mapping. We also present novel definitions of connected-image contractions, with a focus on fixed-point theorems involving auxiliary functions in <i&g...

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Bibliographic Details
Main Authors: Khuanchanok Chaichana, Kanyuta Poochinapan, Teeranush Suebcharoen, Phakdi Charoensawan
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
connected-image contraction
fixed-point theorem
b-metric space
differential equation
integral equation
Online Access:https://www.mdpi.com/2227-7390/12/24/3955
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