Work

Fixed Point Theorem For Commuting Mapping

Year: 2018

Type: article

Abstract: It can be observed that completeness of a metric space is not enough to ensure the existence of fixed point for contractive mappings. So, fixed point theorems for such mappings require further restriction on the space or extra conditions have to be imposed on mappings or some restrictions imposed on its range. Edelstein had shown that compactness of the metric space (X,d) guarantees a unique fixed point for a contractive mapping on X . In this paper,the commutative maps are used as a tool for generalizing some of the results.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.1198959

Author: Piyush Kumar Tripathi*1 & Alok Agrawal2

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6967976587

FWCI:

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Related to: 10