Geodesic
Implicit Iteration Methods for Variational Inequalities in Banach Spaces
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4
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In this paper, we introduce three new iteration methods, which are implicit and converge strongly, based on the steepest descent method with a strongly accretive and strictly pseudocontractive mapping and the modified Halpern's iterative scheme, for finding a solution of variational inequalities over the set of common fixed points of a nonexpansive semigroup on a real Banach space which has a uniformly G\^ateaux differentiable norm.
Classification : 47J05, 47H09, 49J30 
@article{BMMS_2013_36_4_a6,
     author = {Nguyen Thi Thu Thuy and Pham Thanh Hieu},
     title = {Implicit {Iteration} {Methods} for {Variational} {Inequalities} in {Banach} {Spaces}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a6/}
}
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Nguyen Thi Thu Thuy; Pham Thanh Hieu. Implicit Iteration Methods for Variational Inequalities in Banach Spaces. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a6/