Work

Fixed Point Results in Modular b-Metric-like Spaces with an Application

Year: 2024

Type: article

Abstract: In this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of ξ-convergence, ξ-Cauchy sequence, ξ-completeness and ξ-contraction. The existence and uniqueness of fixed points in the modular b-metric-like space are handled. Moreover, we give some examples and an application to an integral equation to illustrate the usability of the obtained results.

Source: Axioms

DOI: 10.3390/axioms13100726

Authors: Nizamettin Ufuk Bostan, Banu Pazar Varol

Institution: Kocaeli Üniversitesi

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4403544153

FWCI: 0.7

Cites: 24

Cited by: 1

Related to: 10