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http://dx.doi.org/10.22771/nfaa.2022.27.03.03

CONVERGENCE THEOREMS FOR TWO NONLINEAR MAPPINGS IN CAT(0) SPACES  

Sokhuma, Kritsana (Department of Mathematics, Faculty of Science and Technology, Phranakhon Rajabhat University)
Sokhuma, Kasinee (Department of Educational Research and Measurement, Faculty of Education, Nakhon Pathom Rajabhat University)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.3, 2022 , pp. 499-512 More about this Journal
Abstract
In this paper, we construct an iteration scheme involving a hybrid pair of the Suzuki generalized nonexpansive single-valued and multi-valued mappings in a complete CAT(0) space. In process, we remove a restricted condition (called end-point condition) in Akkasriworn and Sokhuma's results [2] in Banach spaces and utilize the same to prove some convergence theorems. The results in this paper, are analogs of the results of Akkasriworn et al. [3] in Banach spaces.
Keywords
Ishikawa iteration; CAT(0) spaces; Suzuki generalized nonexpansive mapping; multi-valued mapping;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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