Suantai, S., Panyanak, B., Phuengrattana, W. (2017). A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces. Bulletin of the Iranian Mathematical Society, 43(5), 1127-1141.

S. Suantai; B. Panyanak; W. Phuengrattana. "A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces". Bulletin of the Iranian Mathematical Society, 43, 5, 2017, 1127-1141.

Suantai, S., Panyanak, B., Phuengrattana, W. (2017). 'A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces', Bulletin of the Iranian Mathematical Society, 43(5), pp. 1127-1141.

Suantai, S., Panyanak, B., Phuengrattana, W. A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces. Bulletin of the Iranian Mathematical Society, 2017; 43(5): 1127-1141.

A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces

^{1}Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand.

^{2}Department of Mathematics, Faculty of Science and Technology, Nakhon Pathom Rajabhat University, Nakhon Pathom 73000, Thailand, and Research Center for Pure and Applied Mathematics, Research and Development Institute, Nakhon Pathom Rajabhat University, Nakhon Pathom 73000, Thailand.

Receive Date: 03 July 2015,
Revise Date: 21 March 2016,
Accept Date: 05 May 2016

Abstract

In this paper, we propose a new one-step iterative process for a countable family of quasi-nonexpansive multi-valued mappings in a CAT(0) space. We also prove strong and $Delta$-convergence theorems of the proposed iterative process under some control conditions. Our main results extend and generalize many results in the literature.

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