Indian Journal of Science and Technology
Year: 2020, Volume: 13, Issue: 44, Pages: 4490-4499
V Srinivas1*, 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
Email: [email protected]
Received Date:31 October 2020, Accepted Date:30 November 2020, Published Date:15 December 2020
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
© 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)
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