Work

Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b ‐Metric Space

Year: 2025

Type: article

Abstract: In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b ‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b ‐metric spaces are presented. It is remarkable that the contractive conditions of our results do not depend on the space coefficient b . The presented work extends and improves some well‐known results in the literature. Finally, as an application, we demonstrate a unique solution to both the Fredholm integral equation and the fractional differential equation.

Source: Journal of Function Spaces

DOI: 10.1155/jofs/5982890

Authors: Jiaojiao Wu, Fei He, Shu-fang Li, Xinyan Zhang

Institutions: Inner Mongolia University of Finance and Economics, Inner Mongolia University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,830

Funders: National Natural Science Foundation of China, Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region