Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings

Habtu Zegeye; Naseer Shahzad

doi:10.1016/j.na.2008.03.058

Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings

Habtu Zegeye, Naseer Shahzad

Mathematics & Statistical Sciences

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

105 Citations (Scopus)

Abstract

In this paper, we prove strong convergence theorems to a zero of monotone mapping and a fixed point of relatively weak nonexpansive mapping. Moreover, strong convergence theorems to a point which is a fixed point of relatively weak nonexpansive mapping and a solution of a certain variational problem are proved under appropriate conditions.

Original language	English
Pages (from-to)	2707-2716
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	70
Issue number	7
DOIs	https://doi.org/10.1016/j.na.2008.03.058
Publication status	Published - Apr 1 2009

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "In this paper, we prove strong convergence theorems to a zero of monotone mapping and a fixed point of relatively weak nonexpansive mapping. Moreover, strong convergence theorems to a point which is a fixed point of relatively weak nonexpansive mapping and a solution of a certain variational problem are proved under appropriate conditions.",

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AU - Shahzad, Naseer

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N2 - In this paper, we prove strong convergence theorems to a zero of monotone mapping and a fixed point of relatively weak nonexpansive mapping. Moreover, strong convergence theorems to a point which is a fixed point of relatively weak nonexpansive mapping and a solution of a certain variational problem are proved under appropriate conditions.

AB - In this paper, we prove strong convergence theorems to a zero of monotone mapping and a fixed point of relatively weak nonexpansive mapping. Moreover, strong convergence theorems to a point which is a fixed point of relatively weak nonexpansive mapping and a solution of a certain variational problem are proved under appropriate conditions.

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JO - Nonlinear Analysis, Theory, Methods and Applications

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Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings

Abstract

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