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

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