An iterative algorithm for the system of split mixed equilibrium problem

• Autorzy: Karahan Ibrahim , Jolaoso Lateef Olakunle

Identyfikatory

DOI

10.1515/dema-2020-0027

• Języki publikacji: EN

Abstrakty

EN

In this article, a new problem that is called system of split mixed equilibrium problems is introduced. This problem is more general than many other equilibrium problems such as problems of system of equilibrium, system of split equilibrium, split mixed equilibrium, and system of split variational inequality. A new iterative algorithm is proposed, and it is shown that it satisfies the weak convergence conditions for nonexpansive mappings in real Hilbert spaces. Also, an application to system of split variational inequality problems and a numeric example are given to show the efficiency of the results. Finally, we compare its rate of convergence other algorithms and show that the proposed method converges faster.

Słowa kluczowe

EN

split problem; equilibrium problem; nonexpansive mappings; fixed point

PL

zagadnienie równowagi; odwzorowania; punkt stały

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 309--324
• Opis fizyczny: Bibliogr. 28 poz., rys., tab.

Twórcy

autor

Karahan Ibrahim

• Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, 25700, Turkey

autor

Jolaoso Lateef Olakunle

• Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, P.O Box 60, Medunsa 0204, South Africa

Bibliografia

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