Some Common Fixed Point Theorems in Menger Spaces

Sunny Chauhan; B. D. Pant

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2013)

  • Volume: 52, Issue: 1, page 57-69
  • ISSN: 0231-9721

Abstract

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In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.

How to cite

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Chauhan, Sunny, and Pant, B. D.. "Some Common Fixed Point Theorems in Menger Spaces." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 52.1 (2013): 57-69. <http://eudml.org/doc/260583>.

@article{Chauhan2013,
abstract = {In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.},
author = {Chauhan, Sunny, Pant, B. D.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Menger space; weakly compatible mappings; occasionally weakly compatible mappings; fixed point; Menger space; weakly compatible mappings; occasionally weakly compatible mappings; fixed point},
language = {eng},
number = {1},
pages = {57-69},
publisher = {Palacký University Olomouc},
title = {Some Common Fixed Point Theorems in Menger Spaces},
url = {http://eudml.org/doc/260583},
volume = {52},
year = {2013},
}

TY - JOUR
AU - Chauhan, Sunny
AU - Pant, B. D.
TI - Some Common Fixed Point Theorems in Menger Spaces
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2013
PB - Palacký University Olomouc
VL - 52
IS - 1
SP - 57
EP - 69
AB - In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.
LA - eng
KW - Menger space; weakly compatible mappings; occasionally weakly compatible mappings; fixed point; Menger space; weakly compatible mappings; occasionally weakly compatible mappings; fixed point
UR - http://eudml.org/doc/260583
ER -

References

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