A common solution of generalized equilibrium, zeros of monotone mapping and fixed point problems

The Journal of Analysis - Tập 30 - Trang 569-595 - 2021
Solomon Bekele Zegeye1, Mengistu Goa Sangago1, Habtu Zegeye2
1Department of Mathematics, College of Natural and Computational Sciences, Addis Ababa University, Addis Ababa, Ethiopia
2Department of Mathematics, College of Sciences, Botswana International University of Science and Technology, Palapye, Botswana

Tóm tắt

It is the purpose of this paper to introduce an iterative process which converges strongly to a common point of the set of solutions of a finite family of generalized equilibrium problems, the set of fixed points of a finite family of continuous asymptotically quasi- $$\phi$$ -nonexpansive mappings in the intermediate sense, and the set of zeros of a finite family of $$\gamma$$ -inverse strongly monotone mappings in uniformly convex and uniformly smooth real Banach space. Our results improve and unify most of the results that have been proved for this important class of nonlinear mappings.

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The Journal of Analysis

Tập 30

569-595

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