Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings

• Autorzy: Chidume C. E , Shehu Y.

Identyfikatory

DOI

10.1515/JAA-2013-013

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce a new explicit iterative scheme for approximation of fixed points of demicontinuous pseudocontractive mappings in uniformly smooth Banach spaces and prove strong convergence of our proposed iterative scheme. Furthermore, we modify our explicit iterative scheme for approximation of zeroes of bounded demicontinuous accretive mappings in uniformly smooth Banach spaces. Our result improves, extends and unifies most of the results that have been proved for this class of mappings.

Słowa kluczowe

EN

demicontinuous pseudocontractive mappings; fixed points; strong convergence; uniformly smooth Banach spaces

PL

przekształcenie pseudozbliżające; punkt stały; silna zbieżność; przestrzenie Banacha

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2013
• Tom: Vol. 19, nr 2
• Strony: 213--229
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Chidume C. E

• Mathematics Institute, African University of Science and Technology, Abuja, Nigeria

autor

Shehu Y.

• Department of Mathematics, University of Nigeria, Nsukka, Nigeria

Bibliografia

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