A strong convergence theorem for approximation of a zero of the sum of two maximal monotone mappings in Banach spaces

Getahun B. Wega; Habtu Zegeye

doi:10.1007/s11784-020-00791-8

A strong convergence theorem for approximation of a zero of the sum of two maximal monotone mappings in Banach spaces

Getahun B. Wega, Habtu Zegeye

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The purpose of this paper is to study the method of approximation for a zero of the sum of two maximal monotone mappings in Banach spaces and prove strong convergence of the proposed method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Original language	English
Article number	57
Number of pages	24
Journal	Journal of Fixed Point Theory and Applications
Volume	22
Issue number	3
DOIs	https://doi.org/10.1007/s11784-020-00791-8
Publication status	Published - Sept 1 2020

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Geometry and Topology
Applied Mathematics

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10.1007/s11784-020-00791-8

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AB - The purpose of this paper is to study the method of approximation for a zero of the sum of two maximal monotone mappings in Banach spaces and prove strong convergence of the proposed method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

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A strong convergence theorem for approximation of a zero of the sum of two maximal monotone mappings in Banach spaces

Abstract

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