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

Access to Document

10.1007/s10898-011-9744-8

Cite this

@article{cdc92960e6c1483e9853c41fb4d10e6b,

title = "Strong convergence theorems for variational inequality problems and quasi-φ-asymptotically nonexpansive mappings",

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.",

author = "H. Zegeye and N. Shahzad",

year = "2012",

month = sep,

doi = "10.1007/s10898-011-9744-8",

language = "English",

volume = "54",

pages = "101--116",

journal = "Journal of Global Optimization",

issn = "0925-5001",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Strong convergence theorems for variational inequality problems and quasi-φ-asymptotically nonexpansive mappings

AU - Zegeye, H.

AU - Shahzad, N.

PY - 2012/9

Y1 - 2012/9

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84865145018&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865145018&partnerID=8YFLogxK

U2 - 10.1007/s10898-011-9744-8

DO - 10.1007/s10898-011-9744-8

M3 - Article

AN - SCOPUS:84865145018

SN - 0925-5001

VL - 54

SP - 101

EP - 116

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this