New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions

New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions

We introduce new concepts of an αc-GF-contractive nonself-mapping, a weak αc-GF-contractive nonself-mapping, a generalized αc-GF-contractive nonself-mapping, and Suzuki type GF-contractions and establish the existence of PPF dependent fixed point theorems for such kind of contractive nonself-mappin...

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Main Authors: M. A. Kutbi, N. Hussain, S. Khaleghizadeh
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/136306
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spelling doaj-296a7262304543198b784cdafa046a022020-11-24T23:49:23ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/136306136306New PPF Dependent Fixed Point Theorems for Suzuki Type GF-ContractionsM. A. Kutbi0N. Hussain1S. Khaleghizadeh2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IranWe introduce new concepts of an αc-GF-contractive nonself-mapping, a weak αc-GF-contractive nonself-mapping, a generalized αc-GF-contractive nonself-mapping, and Suzuki type GF-contractions and establish the existence of PPF dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some PPF dependent fixed point theorems for GF-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some PPF dependent fixed point results in the literature.http://dx.doi.org/10.1155/2015/136306
collection DOAJ
language English
format Article
sources DOAJ
author M. A. Kutbi
N. Hussain
S. Khaleghizadeh
spellingShingle M. A. Kutbi
N. Hussain
S. Khaleghizadeh
New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions
Journal of Function Spaces
author_facet M. A. Kutbi
N. Hussain
S. Khaleghizadeh
author_sort M. A. Kutbi
title New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions
title_short New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions
title_full New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions
title_fullStr New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions
title_full_unstemmed New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions
title_sort new ppf dependent fixed point theorems for suzuki type gf-contractions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2015-01-01
description We introduce new concepts of an αc-GF-contractive nonself-mapping, a weak αc-GF-contractive nonself-mapping, a generalized αc-GF-contractive nonself-mapping, and Suzuki type GF-contractions and establish the existence of PPF dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some PPF dependent fixed point theorems for GF-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some PPF dependent fixed point results in the literature.
url http://dx.doi.org/10.1155/2015/136306
work_keys_str_mv AT makutbi newppfdependentfixedpointtheoremsforsuzukitypegfcontractions
AT nhussain newppfdependentfixedpointtheoremsforsuzukitypegfcontractions
AT skhaleghizadeh newppfdependentfixedpointtheoremsforsuzukitypegfcontractions
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