Convergence of SP-iteration for generalized nonexpansive mapping in Banach spaces
Keyword(s):
UDC 517.9 Phuengrattana and Suantai [J. Comput. and Appl. Math., <strong>235</strong>, 3006 – 3014 (2011)] introduced an iteration scheme and they named this iteration as SP-iteration. In this paper, we study the convergence behaviour of SP-iteration scheme for the class of generalized nonexpansive mappings. One weak convergence theorem and two strong convergence theorems in uniformly convex Banach spaces are obtained. We also furnish a numerical example in support of our main result. In process, our results generalize and improve many existing results in the literature.
2020 ◽
Vol 2020
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pp. 1-9
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2021 ◽
2018 ◽
Vol 11
(09)
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pp. 1085-1095