A fixed point theorem for multi-valued weakly Picard operators in b-metric space

• Autorzy: Olatinwo M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish a fixed point theorem for multi-valued operators in a complete b-metric space using the concept of Berinde and Berinde [9] on multi-valued weak contractions for the Picard iteration in a metric space. Our main result generalizes, extends and improves some of the recent results of Berinde and Berinde [9] as well as those of Daffer and Kaneko [17] and also unifies several classical results pertainning to single and multi-valued contractive mappings in the literature.

Słowa kluczowe

EN

fixed point theorem; Picard operator; metric space

PL

twierdzenie o punkcie stałym; operatory Picarda; przestrzeń metryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 3
• Strony: 599--606
• Opis fizyczny: Bibliogr. 41 poz.

Twórcy

autor

Olatinwo M.

• Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria,

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