Generalized split null point of sum of monotone operators in Hilbert spaces

• Autorzy: Mebawondu Akindele A. , Abass Hammed A. , Oyewole Olawale K. , Aremu Kazeem O. , Narain Ojen K.

Identyfikatory

DOI

10.1515/dema-2021-0034

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a strong convergence result for approximating a solution of GSMVI and fixed point problems of certain nonlinear mappings in the framework of real Hilbert spaces. Many existing results are derived as corollaries to our main result. Furthermore, we present a numerical example to support our main result and propose an open problem for interested researchers in this area. The result obtained in this paper improves and generalizes many existing results in the literature.

Słowa kluczowe

EN

generalized split monotone variational inclusion; inertial iterative scheme; firmly nonexpansive; fixed point problem

PL

przestrzeń Hilberta; operator monotoniczny; problem punktu stałego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 359--376
• Opis fizyczny: Bibliogr. 38 poz., rys.

Twórcy

autor

Mebawondu Akindele A.

• Department of Computer Science and Mathematics, Mountain Top University, Prayer City, Ogun State, Nigeria
• School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
• DST-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Lower Groud Floor, TW Kambule Mathematical Science Building, West Campus Private Bag 3, Wit 2050, Gauteng, South Africa

autor

Abass Hammed A.

• School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
• DST-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Lower Groud Floor, TW Kambule Mathematical Science Building, West Campus Private Bag 3, Wit 2050, Gauteng, South Africa

autor

Oyewole Olawale K.

• School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
• DST-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Lower Groud Floor, TW Kambule Mathematical Science Building, West Campus Private Bag 3, Wit 2050, Gauteng, South Africa

autor

Aremu Kazeem O.

• Department of Mathematics, Usmanu Danfodiyo University Sokoto, P.M.B. 2346, Sokoto State, Nigeria
• Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, P.O. Box 60, 0204, South Africa

autor

Narain Ojen K.

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

Bibliografia

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Uwagi

PL

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