PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings

We introduce the concept of triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular αc-admissible mappings (pair of mappings) with respect to...

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Main Authors: Ljubomir Ćirić, Saud M. Alsulami, Peyman Salimi, Pasquale Vetro
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/673647
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author Ljubomir Ćirić
Saud M. Alsulami
Peyman Salimi
Pasquale Vetro
author_facet Ljubomir Ćirić
Saud M. Alsulami
Peyman Salimi
Pasquale Vetro
author_sort Ljubomir Ćirić
collection DOAJ
description We introduce the concept of triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings in Razumikhin class. Several interesting consequences of our theorems are also given.
format Article
id doaj-art-59160e3e55b04d858328167bace2312e
institution Kabale University
issn 2356-6140
1537-744X
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-59160e3e55b04d858328167bace2312e2025-02-03T06:44:34ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/673647673647PPF Dependent Fixed Point Results for Triangular αc-Admissible MappingsLjubomir Ćirić0Saud M. Alsulami1Peyman Salimi2Pasquale Vetro3Faculty of Mathematics Engineering, Kraljice Marije 16, 11 000 Belgrade, SerbiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaYoung Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, IranUniversità degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi 34, 90123 Palermo, ItalyWe introduce the concept of triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings in Razumikhin class. Several interesting consequences of our theorems are also given.http://dx.doi.org/10.1155/2014/673647
spellingShingle Ljubomir Ćirić
Saud M. Alsulami
Peyman Salimi
Pasquale Vetro
PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings
The Scientific World Journal
title PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings
title_full PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings
title_fullStr PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings
title_full_unstemmed PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings
title_short PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings
title_sort ppf dependent fixed point results for triangular αc admissible mappings
url http://dx.doi.org/10.1155/2014/673647
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AT saudmalsulami ppfdependentfixedpointresultsfortriangularacadmissiblemappings
AT peymansalimi ppfdependentfixedpointresultsfortriangularacadmissiblemappings
AT pasqualevetro ppfdependentfixedpointresultsfortriangularacadmissiblemappings