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A New Hybrid Iterative Method for Solving Fixed Points Problems for a Finite Family of Multivalued Strictly Pseudo-Contractive Mappings and Convex Minimization Problems in Real Hilbert Spaces
2021
Journal:  
Mathematical Sciences and Applications E-Notes
Author:  
DOI:  
10.36753/mathenot.592227
Abstract:

In the present work, we introduce a new hybrid iterative  process  which is a combination of proximal point algorithms and a modified Krasnoselskii-Mann algorithm for approximating a common element of the set of minimizers of a convex function and the set of common fixed points of a finite family of multivalued strictly pseudo-contractive mappings in the framework of Hilbert spaces. We then prove strong convergence of the proposed iterative process without imposing any compactness condition on the mapping or the space. The results we obtain extend and improve some recent known results.

Keywords:

null
2021
Journal:  
Mathematical Sciences and Applications E-Notes
Author:  
DOI:  
10.36753/mathenot.592227
0
2021
Journal:  
Mathematical Sciences and Applications E-Notes
Author:  
DOI:  
10.36753/mathenot.592227
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Mathematical Sciences and Applications E-Notes

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 316
Cite : 109
2023 Impact : 0.075
Details
Mathematical Sciences and Applications E-Notes