Work

Fixed points of two interpolative cyclic contractions in b-metric spaces

Year: 2025

Type: article

Abstract: The b -metric space happens to be one of the of most significant and non-trivial generalizations of metric spaces. In this paper, we introduce the concepts of Kannan type and Ćirić-Reich-Rus type cyclic contractions in b -metric spaces via interpolation. Existence and uniqueness of fixed points of these two newly introduced contraction mappings have been studied and validated with suitable examples. Our paper also generalizes, extends and provides improvements to the results in the recent paper by Edraoui et al. (2023) [11].

Source: Heliyon

DOI: 10.1016/j.heliyon.2025.e41667

Authors: Darsana Devi, Pradip Debnath

Institution: Tezpur University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

OpenAlex ID: W4406142735

FWCI: 12.29

Cites: 20

Cited by: 7

Related to: 10