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Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces

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We introduce multivalued generalized α-nonexpansive mappings and present a fixed point result. The multivalued version of the iteration process (Piri et al., Numerical Algorithms, 1–20, 2018) is proposed and some… Click to show full abstract

We introduce multivalued generalized α-nonexpansive mappings and present a fixed point result. The multivalued version of the iteration process (Piri et al., Numerical Algorithms, 1–20, 2018) is proposed and some weak and strong convergence results in uniformly convex Banach space are established. Further, we also study the stability of the modified iteration process. Finally, we compare the rate of convergence of suggested multivalued version of iteration process with several known iteration processes through a numerical example.

Keywords: iteration process; nonexpansive mappings; multivalued generalized; banach; generalized nonexpansive

Journal Title: Numerical Algorithms
Year Published: 2019

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