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Demonstratio Mathematica

Editor-in-Chief: Vetro, Calogero


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CiteScore 2018: 0.47
SCImago Journal Rank (SJR) 2018: 0.265
Source Normalized Impact per Paper (SNIP) 2018: 0.714

Mathematical Citation Quotient (MCQ) 2018: 0.17

ICV 2018: 121.16

Open Access
Online
ISSN
2391-4661
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Volume 51, Issue 1

Issues

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

Jong Kyu Kim / Muhammad Iqbal Bhat
Published Online: 2018-11-08 | DOI: https://doi.org/10.1515/dema-2018-0020

Abstract

In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces. We define the resolvent operator associated with A-monotone and H-monotone operators and prove its Lipschitz continuity. Using resolvent operator technique, we prove the existence and uniqueness of solution for this new system of variational inclusions. Moreover, we suggest an iterative algorithm for approximating the solution of this system and discuss the convergence analysis of the sequences generated by the iterative algorithm under some suitable conditions.

Keywords: system of nonlinear implicit variational inclusion problem; A- and H-monotone operators; semi-inner product space; resolvent operator; iterative algorithm and convergence analysis

MSC 2010: 49J40; 49J53; 47H06

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About the article

Received: 2018-04-06

Accepted: 2018-08-21

Published Online: 2018-11-08

Published in Print: 2018-10-01


Citation Information: Demonstratio Mathematica, Volume 51, Issue 1, Pages 241–254, ISSN (Online) 2391-4661, DOI: https://doi.org/10.1515/dema-2018-0020.

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© by Jong Kyu Kim, Muhammad Iqbal Bhat, published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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