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Article

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Title

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

Authors

Year of publication

2016

Published in

Fasciculi Mathematici

Journal year: 2016 | Journal number: nr 56

Article type

scientific article

Publication language

english

Keywords
EN
  • Jungck-Kirk-multistep
  • Jungck-Kirk-multistep-SP
  • iterative schemes
  • strong convergence and stability results
  • non-self operators
Abstract

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.

Pages (from - to)

29 - 41

DOI

10.1515/fascmath-2016-0002

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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public

Ministry points / journal

10

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