On α-ψ-Meir-Keeler contractive mappings

In this paper, we introduce the notion of α - ψ -Meir-Keeler contractive mappings via a triangular α -admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC:...

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Published in:	Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2013; no. 1
Main Authors:	Karapınar, Erdal, Kumam, Poom, Salimi, Peyman
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 12.04.2013
Subjects:	Analysis Applications of Mathematics Differential Geometry Mathematical and Computational Biology Mathematics Mathematics and Statistics Topology triangular admissible mappings fixed points Meir-Keeler contractive mappings
ISSN:	1687-1812, 1687-1812
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Abstract	In this paper, we introduce the notion of α - ψ -Meir-Keeler contractive mappings via a triangular α -admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC: 46N40, 47H10, 54H25, 46T99.
AbstractList	In this paper, we introduce the notion of α - ψ -Meir-Keeler contractive mappings via a triangular α -admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC: 46N40, 47H10, 54H25, 46T99.
ArticleNumber	94
Author	Karapınar, Erdal Kumam, Poom Salimi, Peyman
Author_xml	– sequence: 1 givenname: Erdal surname: Karapınar fullname: Karapınar, Erdal organization: Department of Mathematics, Atilim University – sequence: 2 givenname: Poom surname: Kumam fullname: Kumam, Poom email: poom.kum@kmutt.ac.th organization: Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi – sequence: 3 givenname: Peyman surname: Salimi fullname: Salimi, Peyman organization: Department of Mathematics, Astara Branch, Islamic Azad University
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Cites_doi	10.4153/CMB-1973-036-0 10.1016/j.amc.2011.07.005 10.4153/CMB-1971-024-9 10.1016/j.na.2011.10.014 10.1016/j.aml.2010.12.016 10.2307/2316437 10.1112/jlms/s1-37.1.74 10.4153/CMB-1969-106-1 10.1016/j.aml.2011.05.013 10.1090/S0002-9939-1969-0239559-9 10.18514/MMN.2011.335 10.4064/fm-3-1-133-181
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Copyright	Karapınar et al.; licensee Springer 2013. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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References	Chatterjea (CR4) 1972; 25 Kirk, Srinavasan, Veeramani (CR19) 2003; 4 Banach (CR1) 1922; 3 Reich (CR20) 1971; 14 Ćirić, Samet, Aydi, Vetro (CR5) 2011; 218 Holmes (CR8) 1969; 12 Hardy, Rogers (CR7) 1973; 16 Karapinar (CR11) 2011; 24 Karapınar, Yuksel (CR17) 2011 Karapinar, Samet (CR22) 2012 Jaggi (CR9) 1977; 8 Karapınar (CR12) 2012; 14 Karapınar (CR16) 2009 Samet, Vetro, Vetro (CR21) 2012; 75 Berinde (CR2) 2008; 24 Boyd, Wong (CR3) 1969; 20 Edelstein (CR6) 1962; 37 Karapınar (CR14) 2011 Karapinar, Erhan (CR13) 2011; 24 Kannan (CR10) 1969; 76 Karapınar (CR18) 2011; 12 Karapınar (CR15) 2010 B Samet (512_CR21) 2012; 75 SK Chatterjea (512_CR4) 1972; 25 E Karapınar (512_CR17) 2011 E Karapinar (512_CR11) 2011; 24 V Berinde (512_CR2) 2008; 24 RD Holmes (512_CR8) 1969; 12 S Banach (512_CR1) 1922; 3 L Ćirić (512_CR5) 2011; 218 S Reich (512_CR20) 1971; 14 DS Jaggi (512_CR9) 1977; 8 E Karapınar (512_CR12) 2012; 14 E Karapinar (512_CR22) 2012 E Karapınar (512_CR14) 2011 R Kannan (512_CR10) 1969; 76 E Karapinar (512_CR13) 2011; 24 E Karapınar (512_CR16) 2009 WA Kirk (512_CR19) 2003; 4 DW Boyd (512_CR3) 1969; 20 GC Hardy (512_CR7) 1973; 16 E Karapınar (512_CR15) 2010 M Edelstein (512_CR6) 1962; 37 E Karapınar (512_CR18) 2011; 12
References_xml	– volume: 16 start-page: 201 year: 1973 end-page: 206 ident: CR7 article-title: A generalization of fixed point theorem of S. Reich publication-title: Can. Math. Bull doi: 10.4153/CMB-1973-036-0 – year: 2011 ident: CR14 article-title: Generalizations of Caristi Kirk’s theorem on partial metric spaces publication-title: Fixed Point Theory Appl – year: 2012 ident: CR22 article-title: Generalized ( - ) contractive type mappings and related fixed point theorems with applications publication-title: Abstr. Appl. Anal – volume: 218 start-page: 2398 year: 2011 end-page: 2406 ident: CR5 article-title: Common fixed points of generalized contractions on partial metric spaces and an application publication-title: Appl. Math. Comput doi: 10.1016/j.amc.2011.07.005 – volume: 14 start-page: 206 issue: 2 year: 2012 end-page: 210 ident: CR12 article-title: Weak -contraction on partial metric spaces publication-title: J. Comput. Anal. Appl – volume: 14 start-page: 121 year: 1971 end-page: 124 ident: CR20 article-title: Some remarks concerning contraction mappings publication-title: Can. Math. Bull doi: 10.4153/CMB-1971-024-9 – volume: 3 start-page: 133 year: 1922 end-page: 181 ident: CR1 article-title: Sur les opérations dans les ensembles abstraits et leur application aux equations itegrales publication-title: Fundam. Math – volume: 25 start-page: 727 year: 1972 end-page: 730 ident: CR4 article-title: Fixed point theorems publication-title: C. R. Acad. Bulgare Sci – year: 2010 ident: CR15 article-title: Some nonunique fixed point theorems of Ciric type on cone metric spaces publication-title: Abstr. Appl. Anal – volume: 75 start-page: 2154 year: 2012 end-page: 2165 ident: CR21 article-title: Fixed point theorem for - contractive type mappings publication-title: Nonlinear Anal doi: 10.1016/j.na.2011.10.014 – volume: 4 start-page: 79 year: 2003 end-page: 89 ident: CR19 article-title: Fixed points for mapping satisfying cyclical contractive conditions publication-title: Fixed Point Theory Appl – volume: 24 start-page: 822 year: 2011 end-page: 825 ident: CR11 article-title: Fixed point theory for cyclic weak -contraction publication-title: Appl. Math. Lett doi: 10.1016/j.aml.2010.12.016 – volume: 76 start-page: 71 year: 1969 end-page: 76 ident: CR10 article-title: Some results on fixed points-II publication-title: Am. Math. Mon doi: 10.2307/2316437 – year: 2009 ident: CR16 article-title: Fixed point theorems in cone Banach spaces publication-title: Fixed Point Theory Appl – volume: 37 start-page: 74 year: 1962 end-page: 79 ident: CR6 article-title: On fixed points and periodic points under contraction mappings publication-title: J. Lond. Math. Soc doi: 10.1112/jlms/s1-37.1.74 – volume: 12 start-page: 813 year: 1969 end-page: 822 ident: CR8 article-title: On fixed and periodic points under sets of mappings publication-title: Can. Math. Bull doi: 10.4153/CMB-1969-106-1 – volume: 8 start-page: 223 issue: 2 year: 1977 end-page: 230 ident: CR9 article-title: Some unique fixed point theorems publication-title: Indian J. Pure Appl. Math – volume: 12 start-page: 185 issue: 2 year: 2011 end-page: 191 ident: CR18 article-title: A note on common fixed point theorems in partial metric spaces publication-title: Miskolc Math. Notes – year: 2011 ident: CR17 article-title: Some common fixed point theorems in partial metric spaces publication-title: J. Appl. Math – volume: 24 start-page: 1894 year: 2011 end-page: 1899 ident: CR13 article-title: Fixed point theorems for operators on partial metric spaces publication-title: Appl. Math. Lett doi: 10.1016/j.aml.2011.05.013 – volume: 24 start-page: 10 issue: 2 year: 2008 end-page: 19 ident: CR2 article-title: General constructive fixed point theorems for Ciric-type almost contractions in metric spaces publication-title: Carpath. J. Math – volume: 20 start-page: 458 year: 1969 end-page: 464 ident: CR3 article-title: On nonlinear contractions publication-title: Proc. Am. Math. Soc doi: 10.1090/S0002-9939-1969-0239559-9 – volume-title: Fixed Point Theory Appl year: 2011 ident: 512_CR14 – volume: 16 start-page: 201 year: 1973 ident: 512_CR7 publication-title: Can. Math. Bull doi: 10.4153/CMB-1973-036-0 – volume: 12 start-page: 185 issue: 2 year: 2011 ident: 512_CR18 publication-title: Miskolc Math. Notes doi: 10.18514/MMN.2011.335 – volume-title: Abstr. Appl. Anal year: 2010 ident: 512_CR15 – volume: 14 start-page: 206 issue: 2 year: 2012 ident: 512_CR12 publication-title: J. Comput. Anal. Appl – volume: 12 start-page: 813 year: 1969 ident: 512_CR8 publication-title: Can. Math. Bull doi: 10.4153/CMB-1969-106-1 – volume: 20 start-page: 458 year: 1969 ident: 512_CR3 publication-title: Proc. Am. Math. Soc doi: 10.1090/S0002-9939-1969-0239559-9 – volume: 218 start-page: 2398 year: 2011 ident: 512_CR5 publication-title: Appl. Math. Comput doi: 10.1016/j.amc.2011.07.005 – volume-title: Fixed Point Theory Appl year: 2009 ident: 512_CR16 – volume: 8 start-page: 223 issue: 2 year: 1977 ident: 512_CR9 publication-title: Indian J. Pure Appl. Math – volume: 75 start-page: 2154 year: 2012 ident: 512_CR21 publication-title: Nonlinear Anal doi: 10.1016/j.na.2011.10.014 – volume-title: Abstr. Appl. Anal year: 2012 ident: 512_CR22 – volume: 37 start-page: 74 year: 1962 ident: 512_CR6 publication-title: J. Lond. Math. Soc doi: 10.1112/jlms/s1-37.1.74 – volume: 4 start-page: 79 year: 2003 ident: 512_CR19 publication-title: Fixed Point Theory Appl – volume: 76 start-page: 71 year: 1969 ident: 512_CR10 publication-title: Am. Math. Mon doi: 10.2307/2316437 – volume: 14 start-page: 121 year: 1971 ident: 512_CR20 publication-title: Can. Math. Bull doi: 10.4153/CMB-1971-024-9 – volume: 25 start-page: 727 year: 1972 ident: 512_CR4 publication-title: C. R. Acad. Bulgare Sci – volume: 24 start-page: 1894 year: 2011 ident: 512_CR13 publication-title: Appl. Math. Lett doi: 10.1016/j.aml.2011.05.013 – volume: 24 start-page: 10 issue: 2 year: 2008 ident: 512_CR2 publication-title: Carpath. J. Math – volume: 24 start-page: 822 year: 2011 ident: 512_CR11 publication-title: Appl. Math. Lett doi: 10.1016/j.aml.2010.12.016 – volume-title: J. Appl. Math year: 2011 ident: 512_CR17 – volume: 3 start-page: 133 year: 1922 ident: 512_CR1 publication-title: Fundam. Math doi: 10.4064/fm-3-1-133-181
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Title	On α-ψ-Meir-Keeler contractive mappings
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