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

Thierno Sow

doi:10.36753/mathenot.592227

EN

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

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

Fixed points problems, Convex minimization problem, Set-valued operators, Iterative methods

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Thierno Sow
0000-0002-9687-839X
Türkiye

Publication Date

September 30, 2021

Submission Date

July 15, 2019

Acceptance Date

October 30, 2020

Published in Issue

Year 2021 Volume: 9 Number: 3

DOI

https://doi.org/10.36753/mathenot.592227

IZ

https://izlik.org/JA99TL28TW

APA

Sow, T. (2021). 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. Mathematical Sciences and Applications E-Notes, 9(3), 95-107. https://doi.org/10.36753/mathenot.592227

AMA

1.Sow T. 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. Math. Sci. Appl. E-Notes. 2021;9(3):95-107. doi:10.36753/mathenot.592227

Chicago

Sow, Thierno. 2021. “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”. Mathematical Sciences and Applications E-Notes 9 (3): 95-107. https://doi.org/10.36753/mathenot.592227.

EndNote

Sow T (September 1, 2021) 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. Mathematical Sciences and Applications E-Notes 9 3 95–107.

IEEE

[1]T. Sow, “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”, Math. Sci. Appl. E-Notes, vol. 9, no. 3, pp. 95–107, Sept. 2021, doi: 10.36753/mathenot.592227.

ISNAD

Sow, Thierno. “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”. Mathematical Sciences and Applications E-Notes 9/3 (September 1, 2021): 95-107. https://doi.org/10.36753/mathenot.592227.

JAMA

1.Sow T. 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. Math. Sci. Appl. E-Notes. 2021;9:95–107.

MLA

Sow, Thierno. “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”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 3, Sept. 2021, pp. 95-107, doi:10.36753/mathenot.592227.

Vancouver

1.Thierno Sow. 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. Math. Sci. Appl. E-Notes. 2021 Sep. 1;9(3):95-107. doi:10.36753/mathenot.592227