An iterative technique for solving split equality monotone variational inclusion and fixed point problems

• Autorzy: Mewomo Oluwatosin Temitope , Ogbuisi Ferdinard Udochukwu

Identyfikatory

DOI

10.1515/jaa-2022-2010

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to introduce an iterative algorithm for approximating the solution of the split equality monotone variational inclusion problem (SEMVIP) for monotone operators, which is also a solution of the split equality fixed point problem (SEFPP) for strictly pseudocontractive maps in real Hilbert spaces.We establish the strong convergence of the sequence generated by our iterative algorithm. Our result complements and extends some related results in literature.

Słowa kluczowe

EN

split equality monotone variational inclusion problem; strictly pseudocontractive mapping; maximally monotone mapping; inverse strongly monotone; resolvent mapping

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 1
• Strony: 187--204
• Opis fizyczny: Bibliogr. 50 poz., wykr.

Twórcy

autor

Mewomo Oluwatosin Temitope

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

autor

Ogbuisi Ferdinard Udochukwu

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

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).