Convergence theorem for a finite family of asymptotically demicontractive multi-valued mappings in CAT(0) spaces

• Autorzy: Ugwunnadi Godwin C. , Mewomo Oluwatosin T. , Izuchukwu Chinedu

Identyfikatory

DOI

10.1515/jaa-2020-2010

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the class of asymptotically demicontractive multivalued mappings and establish a strong convergence theorem of the modified Mann iteration to a common fixed point of a finite family of asymptotically demicontractive multivalued mappings in a complete CAT(0) space. We also give a numerical example of our iterative method to show its applicability.

Słowa kluczowe

EN

asymptotically demicontractive multivalued mapping; fixed point; Delta-convergence; strong convergence; CAT(0) space

PL

asymptotycznie demikontraktyczne mapowanie wielowartościowe; punkt stały; Delta-wypukłość; silna zbieżność; przestrzeń CAT(0)

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 1
• Strony: 117--130
• Opis fizyczny: Bibliogr. 33 poz., wykr.

Twórcy

autor

Ugwunnadi Godwin C.

• Department of Mathematics, University of Eswatini, Kwaluseni, Eswatini

autor

Mewomo Oluwatosin T.

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

autor

Izuchukwu Chinedu

• 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 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).