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

descriptionPublicationkeyboard_double_arrow_right Article 18 Oct 2024 Turkey English Publisher:MDPI AGJournal:Axioms, volume 13, page 726 (eissn: 2075-1680,

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Authors: Nizamettin Ufuk Bostan; Banu Pazar Varol;

doi: 10.3390/axioms13100726

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

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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.

Country

Turkey

Related Organizations

University of Kocaeli
Turkey

Keywords

integral equation, fixed point, QA1-939, modular b-metric-like space, contraction principle, Mathematics

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