The convergence of Jungck-type iterative schemes for generalized contractive-like operators

• Autorzy: Olaleru J. O. , Akewe H.
• Języki publikacji: EN

Abstrakty

EN

We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like opera- tors defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor itera- tions can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations and extensions of the work of Olatinwo and Imoru [13], Olatinwo [14-15]. Consequently, several results in literature are generalized.

Słowa kluczowe

EN

iteration schemes; quasi-contractive operators; weakly compatible maps; coincidence points; common fixed point

PL

schemat iteracyjny; podstawowy punkt stały; przestrzeń Banacha

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 45
• Strony: 87--98
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Olaleru J. O.

autor

Akewe H.

• Mathematics Department University of Lagos Lagos, Nigeria,

Bibliografia

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