Generalized Viscosity Implicit Iterative Process for Asymptotically Non-Expansive Mappings in Banach Spaces

Chanjuan Pan and Yuanheng Wang
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Chanjuan Pan: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Yuanheng Wang: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2019, vol. 7, issue 5, 1-13

Abstract: In this paper, we propose a generalized viscosity implicit iterative method for asymptotically non-expansive mappings in Banach spaces. The strong convergence theorem of this algorithm is proved, which solves the variational inequality problem. Moreover, we provide some applications to zero-point problems and equilibrium problems. Further, a numerical example is given to illustrate our convergence analysis. The results generalize and improve corresponding results in the literature.

Keywords: fixed point; variational inequality; generalized viscosity implicit rule; asymptotically nonexpansive mapping; Banach spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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