Common fixed point of Jungck-Kirk-type iterations for non-self operators in normed linear spaces

• Autorzy: Akewe H. , Mogbademu A.

Identyfikatory

DOI

10.1515/fascmath-2016-0002

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce Jungck-Kirk-multistep and Jungck-Kirk-multistep-SP iterative schemes and use their strong convergences to approximate the common fixed point of nonself operators in a normed linear Space. The Jungck-Kirk-Noor, Jungck-Kirk-SP, Jungck-Kirk-Ishikawa, Jungck-Kirk-Mann and Jungck-Kirk iterative schemes follow our results as corollaries. We also study and prove stability results of these schemes in a normed linear space. Our results generalize and unify most approximation and stability results in the literature.

Słowa kluczowe

EN

Jungck-Kirk-multistep; Jungck-Kirk-multistep-SP; iterative schemes; strong convergence and stability results; non-self operators

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 56
• Strony: 29--41
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Akewe H.

• Department of Mathematics, University of Lagos, Akoka, Yaba, Lagos, Nigeria

autor

Mogbademu A.

• Department of Mathematics, University of Lagos, Akoka, Yaba, Lagos, Nigeria

Bibliografia

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• [13] Olatinwo M.O., A generalization of some convergence results using a Jungck-Noor three-step iteration process in arbitrary Banach space, Fasciculi Mathemathici, 40(2008), 37-43.
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.