Certain fixed point results for asymptotically ℛ-nonexpansive mappings



	Certain fixed point results for asymptotically ℛ-nonexpansive mappings


	Fixed Point Theory, Volume 25, No. 2, 2024, 589-600, June 15th, 2024 DOI: 10.24193/fpt-ro.2024.2.09 Authors: Md Hasanuzzaman and Mohammad Imdad Abstract: In this paper, we study the existence of fixed points for asymptotically ℛ-nonexpansive self-mappings defined on a subset K of a uniformly convex Banach space equipped with a transitive binary relation ℛ. Key Words and Phrases: Fixed point, asymptotically nonexpansive mapping, uniformly convex Banach space, binary relation. 2010 Mathematics Subject Classification: 47H10, 47H09, 47J26, 46B20. Published on-line: June 15th, 2024. Fulltext pdf Back to volume's table of contents