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

• Autorzy: Kim J. K. , Bhat M. I.

Identyfikatory

DOI

10.1515/dema-2018-0020

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

PL

operator monotoniczny A i H; rezolwenta operatora; algorytm iteracyjny; analiza zbieżności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 241--254
• Opis fizyczny: Bibliogr. 42 poz.

Twórcy

autor

Kim J. K.

• Department of Mathematics Education, Kyungnam University, Changwon, Gyeong- nam 51767, Korea

autor

Bhat M. I.

• Department of Mathematics, South Campus University of Kashmir, Anantnag 192101, J & K-India

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).