Stability of Noor Iteration for a General Class of Functions in Banach Spaces

Alfred Olufemi Bosede

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2012)

  • Volume: 51, Issue: 2, page 19-25
  • ISSN: 0231-9721

Abstract

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In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.

How to cite

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Bosede, Alfred Olufemi. "Stability of Noor Iteration for a General Class of Functions in Banach Spaces." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 51.2 (2012): 19-25. <http://eudml.org/doc/246937>.

@article{Bosede2012,
abstract = {In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.},
author = {Bosede, Alfred Olufemi},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {stability; Noor and Ishikawa iterations; stability; Noor and Ishikawa iterations},
language = {eng},
number = {2},
pages = {19-25},
publisher = {Palacký University Olomouc},
title = {Stability of Noor Iteration for a General Class of Functions in Banach Spaces},
url = {http://eudml.org/doc/246937},
volume = {51},
year = {2012},
}

TY - JOUR
AU - Bosede, Alfred Olufemi
TI - Stability of Noor Iteration for a General Class of Functions in Banach Spaces
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2012
PB - Palacký University Olomouc
VL - 51
IS - 2
SP - 19
EP - 25
AB - In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.
LA - eng
KW - stability; Noor and Ishikawa iterations; stability; Noor and Ishikawa iterations
UR - http://eudml.org/doc/246937
ER -

References

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