Work

On Generalized Nonexpansive Maps in Banach Spaces

Year: 2020

Type: article

Abstract: We introduce a very general class of generalized non-expansive maps. This new class of maps properly includes the class of Suzuki non-expansive maps, Reich–Suzuki type non-expansive maps, and generalized α -non-expansive maps. We establish some basic properties and demiclosed principle for this class of maps. After this, we establish existence and convergence results for this class of maps in the context of uniformly convex Banach spaces and compare several well known iterative algorithms.

Source: Computation

DOI: 10.3390/computation8030061

Authors: Kifayat Ullah, Junaid Ahmad, Manuel de la Sen

Institutions: University of Science and Technology Bannu, University of the Basque Country

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,056

OpenAlex ID: W3039296830

FWCI: 3.38

Cites: 23

Cited by: 32

Related to: 10