A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces-Reference-Cited by-同舟云学术

A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces

Published:2019-01-01 Issue:1 Volume:52 Page:183-203
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Jolaoso Lateef Olakunle¹,Taiwo Adeolu²,Alakoya Timilehin Opeyemi³,Mewomo Oluwatosin Temitope⁴

Affiliation:

1. School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban , South Africa ; E-mail: 216074984@stu.ukzn.ac.za

2. School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban , South Africa ;

3. School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban , South Africa ; E-mail: 218086823@stu.ukzn.ac.za

4. School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban , South Africa

Abstract

Abstract We consider a new subgradient extragradient iterative algorithm with inertial extrapolation for approximating a common solution of variational inequality problems and fixed point problems of a multivalued demicontractive mapping in a real Hilbert space. We established a strong convergence theorem for our proposed algorithm under some suitable conditions and without prior knowledge of the Lipschitz constant of the underlying operator. We present numerical examples to show that our proposed algorithm performs better than some recent existing algorithms in the literature.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0013/pdf

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