Strong convergence theorems for variational inequalities and fixed point problems in Banach spaces
Keyword(s):
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.
2013 ◽
Vol 2013
(1)
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pp. 313
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2015 ◽
Vol 9
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pp. 437-452
Keyword(s):
2012 ◽
Vol 56
(4)
◽
pp. 1529-1542
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