Phuengrattana and Suantai [J. Comput. Appl. Math., 235, 3006–3014 (2011)] introduced an iterative scheme and they named this iteration as SP-iteration. We study the convergence behavior of the 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 present a numerical example in support of our main result. Our results generalize and improve many existing results available from the literature.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 6, pp. 738–748, June, 2021. Ukrainian DOI: 10.37863/umzh.v73i6.350.
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Ali, J., Uddin, I. Convergence of SP-Iterations for Generalized Nonexpansive Mappings in Banach Spaces. Ukr Math J 73, 859–871 (2021). https://doi.org/10.1007/s11253-021-01964-5
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DOI: https://doi.org/10.1007/s11253-021-01964-5