A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems |
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Authors: | Habtu Zegeye |
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Institution: | a Department of Mathematics, University of Botswana, Pvt. Bag 00704, Gaborone, Botswanab Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia |
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Abstract: | We introduce an iterative process for finding an element in the common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions of finite family of equilibrium problems and common solutions of finite family of variational inequality problems for monotone mappings in Banach spaces. Our theorem extends and unifies most of the results that have been proved for this important class of nonlinear operators. |
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Keywords: | 47H05 47H09 47H10 47J05 47J25 |
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