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Strong convergence theorems for variational inequality problems and quasi- $${\phi}$$-asymptotically nonexpansive mappings.

Authors :
Zegeye, H.
Shahzad, N.
Source :
Journal of Global Optimization; Sep2012, Vol. 54 Issue 1, p101-116, 16p
Publication Year :
2012

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- $${\phi}$$-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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09255001
Volume :
54
Issue :
1
Database :
Complementary Index
Journal :
Journal of Global Optimization
Publication Type :
Academic Journal
Accession number :
78312698
Full Text :
https://doi.org/10.1007/s10898-011-9744-8