The Generalized Viscosity Implicit Midpoint Rule for Nonexpansive Mappings in Banach Space

Huancheng Zhang, Yunhua Qu and Yongfu Su
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Huancheng Zhang: Qinggong College, North China University of Science and Technology, Tangshan 063000, China
Yunhua Qu: Qinggong College, North China University of Science and Technology, Tangshan 063000, China
Yongfu Su: Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China

Mathematics, 2019, vol. 7, issue 6, 1-16

Abstract: This paper constructs the generalized viscosity implicit midpoint rule for nonexpansive mappings in Banach space. It obtains strong convergence conclusions for the proposed algorithm and promotes the related results in this field. Moreover, this paper gives some applications. Finally, the paper gives six numerical examples to support the main results.

Keywords: generalized viscosity implicit midpoint rule; nonexpansive mapping; Banach space; strong convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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