Some common fixed point theorems in normed linear spaces

Alfred Olufemi Bosede

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)

  • Volume: 49, Issue: 1, page 17-24
  • ISSN: 0231-9721

Abstract

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In this paper, we establish some generalizations to approximate common fixed points for selfmappings in a normed linear space using the modified Ishikawa iteration process with errors in the sense of Liu [10] and Rafiq [14]. We use a more general contractive condition than those of Rafiq [14] to establish our results. Our results, therefore, not only improve a multitude of common fixed point results in literature but also generalize some of the results of Berinde [3], Rhoades [15] and recent results of Rafiq [14].

How to cite

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Bosede, Alfred Olufemi. "Some common fixed point theorems in normed linear spaces." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.1 (2010): 17-24. <http://eudml.org/doc/116473>.

@article{Bosede2010,
abstract = {In this paper, we establish some generalizations to approximate common fixed points for selfmappings in a normed linear space using the modified Ishikawa iteration process with errors in the sense of Liu [10] and Rafiq [14]. We use a more general contractive condition than those of Rafiq [14] to establish our results. Our results, therefore, not only improve a multitude of common fixed point results in literature but also generalize some of the results of Berinde [3], Rhoades [15] and recent results of Rafiq [14].},
author = {Bosede, Alfred Olufemi},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Common fixed point; contractive condition; Mann and Ishikawa iterations; common fixed point; contractive condition; Mann iteration; Ishikawa iteration},
language = {eng},
number = {1},
pages = {17-24},
publisher = {Palacký University Olomouc},
title = {Some common fixed point theorems in normed linear spaces},
url = {http://eudml.org/doc/116473},
volume = {49},
year = {2010},
}

TY - JOUR
AU - Bosede, Alfred Olufemi
TI - Some common fixed point theorems in normed linear spaces
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 1
SP - 17
EP - 24
AB - In this paper, we establish some generalizations to approximate common fixed points for selfmappings in a normed linear space using the modified Ishikawa iteration process with errors in the sense of Liu [10] and Rafiq [14]. We use a more general contractive condition than those of Rafiq [14] to establish our results. Our results, therefore, not only improve a multitude of common fixed point results in literature but also generalize some of the results of Berinde [3], Rhoades [15] and recent results of Rafiq [14].
LA - eng
KW - Common fixed point; contractive condition; Mann and Ishikawa iterations; common fixed point; contractive condition; Mann iteration; Ishikawa iteration
UR - http://eudml.org/doc/116473
ER -

References

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