A result on Banach Space using Property E.A

V Srinivas; T Thirupathi

doi:10.17485/IJST/v13i44.1909

Article

A result on Banach Space using Property E.A

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v13i44.1909

Year: 2020, Volume: 13, Issue: 44, Pages: 4490-4499

Original Article

A result on Banach Space using Property E.A

V Srinivas^1*, T Thirupathi²

¹Mathematics Department, University College, Saifabad, Osmania University,Hyderabad, India. Tel.: +0-944-037-8294
²Science and Humanities Department, Sreenidhi Institute of Science and Technology,Hyderabad, 501301, India

*Corresponding Author
Tel: +0-944-037-8294
Email: [email protected]

Received Date:31 October 2020, Accepted Date:30 November 2020, Published Date:15 December 2020

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective/Aim: To establish the existence of common fixed point theorem for four self-mappings in Banach space. Method: This method includes using weaker conditions like property E.A and weakly compatible mappings. Findings: Unique common fixed point is generated using different conditions. This result is supported by the provision of a suitable example.Novelty/Improvement: The concept of property E.A along with weakly compatible mappings is employed and is weaker than the concept of continuity and compatibility.

Keywords: Fixed point; metric space; Normed space; Banach space; EA property; weakly compatible mappings

References

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Copyright

© 2020 Srinivas & Thirupathi.This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)