A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space Article Swipe

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Chinedu Izuchukwu , Kazeem Olalekan Aremu , A. A. Mebawondu , Oluwatosin Temitope Mewomo ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.4995/agt.2019.10635

The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to a common solution of a finite family of equilibrium problems and fixed point problem for a nonexpansive mapping is established in a Hadamard space. We further applied our results to solve some optimization problems in Hadamard spaces.

Related Topics

Mathematics

Viscosity

Discrete Mathematics

Mathematical Analysis

Concepts

Mathematics Hadamard transform Fixed point Monotone polygon Viscosity Convergence (economics) Resolvent Applied mathematics Space (punctuation) Iterative method Point (geometry) Mathematical optimization Pure mathematics Discrete mathematics Mathematical analysis Geometry Computer science Quantum mechanics Economics Physics Economic growth Operating system

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Type: article
Language: en
Landing Page: https://doi.org/10.4995/agt.2019.10635
PDF: https://polipapers.upv.es/index.php/AGT/article/download/10635/11204
OA Status: diamond
Cited By: 35
References: 31
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DOI: https://doi.org/10.4995/agt.2019.10635

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Title: A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space

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Language: en

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Publication year: 2019

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Publication date: 2019-04-01

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Authors: Chinedu Izuchukwu, Kazeem Olalekan Aremu, A. A. Mebawondu, Oluwatosin Temitope Mewomo

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Landing page: https://doi.org/10.4995/agt.2019.10635

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Concepts: Mathematics, Hadamard transform, Fixed point, Monotone polygon, Viscosity, Convergence (economics), Resolvent, Applied mathematics, Space (punctuation), Iterative method, Point (geometry), Mathematical optimization, Pure mathematics, Discrete mathematics, Mathematical analysis, Geometry, Computer science, Quantum mechanics, Economics, Physics, Economic growth, Operating system

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Cited by: 35

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Citations by year (recent): 2023: 4, 2022: 4, 2021: 9, 2020: 12, 2019: 6

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References (count): 31

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Related works (count): 10

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