Hardy-Rogers-type fixed point theorems for α - G F -contractions

Muhammad Arshad; Eskandar Ameer; Aftab Hussain

Archivum Mathematicum (2015)

  • Volume: 051, Issue: 3, page 129-141
  • ISSN: 0044-8753

Abstract

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The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for α - η - G F -contraction in a complete metric space. We extend the concept of F -contraction into an α - η - G F -contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.

How to cite

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Arshad, Muhammad, Ameer, Eskandar, and Hussain, Aftab. "Hardy-Rogers-type fixed point theorems for $\alpha $-$GF$-contractions." Archivum Mathematicum 051.3 (2015): 129-141. <http://eudml.org/doc/271622>.

@article{Arshad2015,
abstract = {The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for $\alpha $-$\eta $-$GF$-contraction in a complete metric space. We extend the concept of $F$-contraction into an $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.},
author = {Arshad, Muhammad, Ameer, Eskandar, Hussain, Aftab},
journal = {Archivum Mathematicum},
keywords = {metric space; fixed point; $F$-contraction; $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type},
language = {eng},
number = {3},
pages = {129-141},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Hardy-Rogers-type fixed point theorems for $\alpha $-$GF$-contractions},
url = {http://eudml.org/doc/271622},
volume = {051},
year = {2015},
}

TY - JOUR
AU - Arshad, Muhammad
AU - Ameer, Eskandar
AU - Hussain, Aftab
TI - Hardy-Rogers-type fixed point theorems for $\alpha $-$GF$-contractions
JO - Archivum Mathematicum
PY - 2015
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 051
IS - 3
SP - 129
EP - 141
AB - The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for $\alpha $-$\eta $-$GF$-contraction in a complete metric space. We extend the concept of $F$-contraction into an $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.
LA - eng
KW - metric space; fixed point; $F$-contraction; $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type
UR - http://eudml.org/doc/271622
ER -

References

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