An iterative approximation of common solutions of split generalized vector mixed equilibrium problem and some certain optimization problems

Mewomo, Oluwatosin T.; Oyewole, Olawale K.

doi:10.1515/dema-2021-0019

Artykuł - szczegóły

Tytuł artykułu

An iterative approximation of common solutions of split generalized vector mixed equilibrium problem and some certain optimization problems

Autorzy

Mewomo Oluwatosin T. , Oyewole Olawale K.

Wybrane pełne teksty z tego czasopisma

http://www.degruyter.com/view/j/dema

Identyfikatory

DOI

10.1515/dema-2021-0019

Warianty tytułu

Języki publikacji

Abstrakty

In this paper, we study the problem of finding a common solution of split generalized vector mixed equlibrium problem (SGVMEP), fixed point problem (FPP) and variational inequality problem (VIP). We propose an inertial-type iterative algorithm, which uses a projection onto a feasible set and a linesearch, which can be easily calculated. We prove a strong convergence of the sequence generated by the proposed algorithm to a common solution of SGVMEP, fixed point of a quasi- ϕ -nonexpansive mapping and VIP for a general class of monotone mapping in 2-uniformly convex and uniformly smooth Banach space E1 and a smooth, strictly convex and reflexive Banach space E2 . Some numerical examples are presented to illustrate the performance of our method. Our result improves some existing results in the literature.

Słowa kluczowe

split feasibility problem vector equilibrium problem generalized mixed equilibrium problems quasi-monotone mapping strong convergence Banach space

problem równowagi odwzorowanie monotoniczne silna zbieżność przestrzenie Banacha

Wydawca

De Gruyter

Czasopismo

Demonstratio Mathematica

Rocznik

2021

Tom

Vol. 54, nr 1

Strony

335--358

Opis fizyczny

Bibliogr. 56 poz., rys.

Twórcy

autor

Mewomo Oluwatosin T.

mewomoo@ukzn.ac.za

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

autor

Oyewole Olawale K.

217079141@stu.ukzn.ac.za

School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).

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Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-493c9f13-8ec3-4a19-80e4-02ccff91c174