Vol. 22(2021) No. 2



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

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