A NOTE ON FIXED-POINT THEOREMS USING THE NOTIONS OF STAR-SHAPED SUBSETS WITH APPLICATIONS
By
Aqeel Ahmad1 , M. Shakil2 and R. C. Singh Chandel3
1Late Professor & Former Chair, Department of Applied Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India-202002
2Department of Mathematics, Miami-Dade College, Hialeah, Florida, USA-33012
3Department of Mathematics, D.V. Postgraduate College, Orai, India-285001
Email: mshakil@mdc.edu, rc_chandel@yahoo.com
(Received: July 06, 2024; In format: September 12, 2024; Revised: November 16, 2024; Accepted November 18, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54219
Abstract
The purpose of this paper is to obtain fixed-point theorems for non-expansive mappings in Banach spaces using the notions of star-shaped subsets with some applications.
2020 Mathematical Sciences Classification: 47H09, 47H10, 54H25
Keywords: Fixed point, convex metric space, non-expansive mapping, starshaped subset.