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

Authors :
Solomon Bekele Zegeye
Habtu Zegeye
Mengistu Goa Sangago
Source :
The Journal of Analysis. 30:569-595
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

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.

Details

ISSN :
23672501 and 09713611
Volume :
30
Database :
OpenAIRE
Journal :
The Journal of Analysis
Accession number :
edsair.doi...........afa41f20449b26ac7261f007cd5bab14
Full Text :
https://doi.org/10.1007/s41478-021-00359-w