Work

Fixed Point Theorem for Interpolative F- contraction in Complete b-Metric Spaces

Year: 2025

Type: article

Abstract: This paper establishes a fixed point theorem for interpolative Kannan-type cyclic contractions on the union of two non-empty subsets of a complete b-metric space. By using the framework of F-contractions, we prove the existence and uniqueness of a fixed point in the intersection of the subsets. Our approach extends classical results by incorporating a generalized contraction condition controlled by a nonlinear function F. The findings contribute to the ongoing development of fixed point theory and offer broader applicability in nonlinear analysis.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15495948

Author: Prince Kumar Namdev

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6893216467

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