Strong convergence theorems for variational inequality problems and quasi-φ-asymptotically nonexpansive mappings

H. Zegeye; N. Shahzad

doi:10.1007/s10898-011-9744-8

Strong convergence theorems for variational inequality problems and quasi-φ-asymptotically nonexpansive mappings

H. Zegeye
, N. Shahzad

Mathematics & Statistical Sciences

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

6 Citations (Scopus)

Abstract

In this paper, we introduce an iterative process which converges strongly to a common solution of finite family of variational inequality problems for γ-inverse strongly monotone mappings and fixed point of two continuous quasi-φ-asymptotically nonexpansive mappings in Banach spaces. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.

Original language	English
Pages (from-to)	101-116
Number of pages	16
Journal	Journal of Global Optimization
Volume	54
Issue number	1
DOIs	https://doi.org/10.1007/s10898-011-9744-8
Publication status	Published - Sept 2012

All Science Journal Classification (ASJC) codes

Control and Optimization
Applied Mathematics
Computer Science Applications
Management Science and Operations Research

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10.1007/s10898-011-9744-8

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abstract = "In this paper, we introduce an iterative process which converges strongly to a common solution of finite family of variational inequality problems for γ-inverse strongly monotone mappings and fixed point of two continuous quasi-φ-asymptotically nonexpansive mappings in Banach spaces. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.",

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AB - In this paper, we introduce an iterative process which converges strongly to a common solution of finite family of variational inequality problems for γ-inverse strongly monotone mappings and fixed point of two continuous quasi-φ-asymptotically nonexpansive mappings in Banach spaces. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.

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Strong convergence theorems for variational inequality problems and quasi-φ-asymptotically nonexpansive mappings

Abstract

All Science Journal Classification (ASJC) codes

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