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A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems
Authors:Habtu Zegeye
Institution:
  • a Department of Mathematics, University of Botswana, Pvt. Bag 00704, Gaborone, Botswana
  • b Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
  • 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.
    Keywords:47H05  47H09  47H10  47J05  47J25
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