Convergence of Mann's iteration for relatively nonexpansive mappings


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	Convergence of Mann's iteration for relatively nonexpansive mappings


	Fixed Point Theory, Volume 18, No. 2, 2017, 545-554, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.42 Authors: A. Anthony Eldred and A. Praveen Abstract: We consider the Mann's iterative process to approximate the fixed points and best proximity points of a relatively non-expansive mapping T:A∪B→A∪B, satisfying \|\|Tx-Ty\|\|≤\|\|x-y\|\| ∀ x∈A, y∈B. These mappings need not be continuous. Key Words and Phrases: Von Neumann sequences, relatively nonexpansive mappings, best proximity points, fixed points. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents