Existence and approximation of fixed points of <em>λ</em>-hybrid mappings in complete CAT(0) spaces



	Existence and approximation of fixed points of λ-hybrid mappings in complete CAT(0) spaces


	Fixed Point Theory, Volume 22, No. 2, 2021, 727-738, July 1st, 2021 DOI: 10.24193/fpt-ro.2021.2.47 Authors: Mahmood Khoshhal and Davood Ebrahimi Bagha Abstract: In this paper, we first state and establish some general existence theorems in Hadamard spaces. Then, we introduce class of λ-hybrid mappings in Hadamard spaces and prove existence of fixed point for such mappings. Finally, we establish convergence theorem of Mann's iterative process for λ-hybrid mappings. Key Words and Phrases: Existence theorem, λ-hybrid mappings, nonexpansive mapping, fixed point, CAT(0) metric space. 2010 Mathematics Subject Classification: 47H09, 47H10, 47J25. Published on-line: July 1st, 2021. Abstract pdf Fulltext pdf Back to volume's table of contents