An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces
2018 ◽
Vol 9
(3)
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pp. 167-184
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Keyword(s):
Abstract In this paper, we propose an iterative algorithm for approximating a common fixed point of an infinite family of quasi-Bregman nonexpansive mappings which is also a solution to finite systems of convex minimization problems and variational inequality problems in real reflexive Banach spaces. We obtain a strong convergence result and give applications of our result to finding zeroes of an infinite family of Bregman inverse strongly monotone operators and a finite system of equilibrium problems in real reflexive Banach spaces. Our result extends many recent corresponding results in literature.
2012 ◽
Vol 55
(2)
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pp. 437-457
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2013 ◽
Vol 2013
(1)
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pp. 221
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2009 ◽
Vol 2009
(1)
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pp. 369215
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2012 ◽
Vol 57
(4)
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pp. 1327-1348
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