Convergence and stability of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping

• Autorzy: Aggarwal Sajan , Uddin Izhar

Identyfikatory

DOI

10.1515/dema-2019-0030

• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove strong convergence and ∆-convergence of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping (i.e. nearly asymptotically nonexpansive mapping) in partially ordered hyperbolic metric space. Moreover, we prove stability of Fibonacci-Mann iteration. Further, we construct a numerical example to illustrate results. Our results simultaneously generalize the results of Alfuraidan and Khamsi [Bull. Aust. Math. Soc., 2017, 96, 307-316] and Schu [J. Math. Anal. Appl., 1991, 58, 407-413].

Słowa kluczowe

EN

hyperbolic metric space; nearly asymptotically nonexpansive mapping; Fibonacci-Mann iteration; monotone non-Lipschitzian mapping; fixed point theorem

PL

przestrzeń metryczna; iteracja Fibonacciego-Manna; odwzorowanie; twierdzenie o punkcie stałym

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 388--396
• Opis fizyczny: Bibliogr. 22 poz., tab., wykr.

Twórcy

autor

Aggarwal Sajan

• Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India

autor

Uddin Izhar

• Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).