Hardy-Rogers-type fixed point theorems for $\alpha $-$GF$-contractions
Archivum mathematicum, Tome 51 (2015) no. 3, pp. 129-141
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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.
DOI :
10.5817/AM2015-3-129
Classification :
46S40, 47H10, 54H25
Keywords: metric space; fixed point; $F$-contraction; $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type
Keywords: metric space; fixed point; $F$-contraction; $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type
@article{10_5817_AM2015_3_129,
author = {Arshad, Muhammad and Ameer, Eskandar and Hussain, Aftab},
title = {Hardy-Rogers-type fixed point theorems for $\alpha $-$GF$-contractions},
journal = {Archivum mathematicum},
pages = {129--141},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {2015},
doi = {10.5817/AM2015-3-129},
mrnumber = {3397266},
zbl = {06487025},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2015-3-129/}
}
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 SP - 129 EP - 141 VL - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2015-3-129/ DO - 10.5817/AM2015-3-129 LA - en ID - 10_5817_AM2015_3_129 ER -
%0 Journal Article %A Arshad, Muhammad %A Ameer, Eskandar %A Hussain, Aftab %T Hardy-Rogers-type fixed point theorems for $\alpha $-$GF$-contractions %J Archivum mathematicum %D 2015 %P 129-141 %V 51 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2015-3-129/ %R 10.5817/AM2015-3-129 %G en %F 10_5817_AM2015_3_129
Arshad, Muhammad; Ameer, Eskandar; Hussain, Aftab. Hardy-Rogers-type fixed point theorems for $\alpha $-$GF$-contractions. Archivum mathematicum, Tome 51 (2015) no. 3, pp. 129-141. doi: 10.5817/AM2015-3-129
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