Random Nonlinear Variational Inequalities for Mappings of Monotone Type in Banach Spaces

2006 ◽  
Vol 24 (3) ◽  
pp. 489-499 ◽  
Author(s):  
Nguyen Minh Chuong ◽  
Nguyen Xuan Thuan
Keyword(s):  
Variational Inequalities ◽  
Banach Spaces ◽  
Monotone Type

scholarly journals Strong convergence theorems for variational inequalities and fixed point problems in Banach spaces

2021 ◽  
Vol 37 (3) ◽  
pp. 477-487
Author(s):  
MONDAY OGUDU NNAKWE ◽  
◽  
" JERRY N." EZEORA ◽  
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Strong Convergence ◽  
Fixed Points ◽  
Banach Spaces ◽  
Metric Projection ◽  
Finite Family ◽  
Common Solution ◽  
Monotone Type

In this paper, using a sunny generalized non-expansive retraction which is different from the metric projection and generalized metric projection in Banach spaces, we present a retractive iterative algorithm of Krasnosel’skii-type, whose sequence approximates a common solution of a mono-variational inequality of a finite family of η-strongly-pseudo-monotone-type maps and fixed points of a countable family of generalized non-expansive-type maps. Furthermore, some new results relevant to the study are also presented. Finally, the theorem proved complements, improves and extends some important related recent results in the literature.

Modified Extragradient Methods for a System of Variational Inequalities in Banach Spaces

2009 ◽  
Vol 110 (3) ◽  
pp. 1211-1224 ◽  
Author(s):  
Yonghong Yao ◽  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor ◽  
Yeong-Cheng Liou ◽  
Huma Yaqoob
Keyword(s):  
Variational Inequalities ◽  
Banach Spaces ◽  
Extragradient Methods ◽  
System Of Variational Inequalities
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