Abstract and Applied Analysis
 Abstr. Appl. Anal.
 Volume 2012 (2012), Article ID 192581, 18 pages.
Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces
Zorana Golubović, Zoran Kadelburg, and Stojan Radenović
Fulltext: Open access
Abstract
New coupled coincidence point and coupled fixed point results in ordered partial metric spaces under the contractive conditions of Geraghty, Rakotch, and Branciari types are obtained. Examples show that these results are distinct from the known ones.
Article information
Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 192581, 18 pages.
Dates
First available in Project Euclid: 14 December 2012
Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495667
Digital Object Identifier
doi:10.1155/2012/192581
Mathematical Reviews number (MathSciNet)
MR2903802
Zentralblatt MATH identifier
1241.54033
Citation
Golubović, Zorana; Kadelburg, Zoran; Radenović, Stojan. Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces. Abstr. Appl. Anal. 2012 (2012), Article ID 192581, 18 pages. doi:10.1155/2012/192581. https://projecteuclid.org/euclid.aaa/1355495667
References
 S. G. Matthews, “Partial metric topology,” in Proceedings of the 8th Summer Conference on General Topology and Applications, vol. 728, pp. 183–197, Annals of the New York Academy of Sciences, 1994.
 S. J. O'Neill, “Two topologies are better than one,” Technical Report, University of Warwick, Coventry, UK, 1995.
 S. J. O'Neill, “Partial metrics, valuations and domain theory,” in Proceedings of the 11th Summer Conference on General Topology and Applications, vol. 806, pp. 304–315, Annals of the New York Academy of Sciences, 1996.Mathematical Reviews (MathSciNet): MR1429662
 S. Oltra and O. Valero, “Banach's fixed point theorem for partial metric spaces,” Rendiconti dell'Istituto di Matematica dell'Università di Trieste, vol. 36, no. 12, pp. 17–26, 2004.
 D. Ilić, V. Pavlović, and V. Rakočević, “Some new extensions of Banach's contraction principle to partial metric spaces,” Applied Mathematics Letters, vol. 24, no. 8, pp. 1326–1330, 2011.Mathematical Reviews (MathSciNet): MR2793626
Digital Object Identifier: doi:10.1016/j.aml.2011.02.025
Zentralblatt MATH: 05903393  D. Ilić, V. Pavlović, and V. Rakočević, “Extensions of Zamfirescu theorem to partial metric spaces,” Mathematical and Computer Modelling, vol. 55, no. 34, pp. 801–809, 2012.Mathematical Reviews (MathSciNet): MR2887421
Digital Object Identifier: doi:10.1016/j.mcm.2011.09.005
Zentralblatt MATH: 1255.54022  I. Altun and A. Erduran, “Fixed point theorems for monotone mappings on partial metric spaces,” Fixed Point Theory and Applications, Article ID 508730, 10 pages, 2011.
 S. Romaguera, “Fixed point theorems for generalized contractions on partial metric spaces,” Topology and its Applications, vol. 159, no. 1, pp. 194–199, 2012.Mathematical Reviews (MathSciNet): MR2852962
Zentralblatt MATH: 1232.54039
Digital Object Identifier: doi:10.1016/j.topol.2011.08.026  L. J. Cirić, B. Samet, H. Aydi, and C. Vetro, “Common fixed points of generalized contractions on partial metric spaces and an application,” Journal of Computational and Applied Mathematics, vol. 218, pp. 2398–2406, 2011.Mathematical Reviews (MathSciNet): MR2838150
Zentralblatt MATH: 1244.54090
Digital Object Identifier: doi:10.1016/j.amc.2011.07.005  M. A. Geraghty, “On contractive mappings,” Proceedings of the American Mathematical Society, vol. 40, pp. 604–608, 1973.Zentralblatt MATH: 0245.54027
Mathematical Reviews (MathSciNet): MR334176
Digital Object Identifier: doi:10.1090/S00029939197303341765  E. Rakotch, “A note on contractive mappings,” Proceedings of the American Mathematical Society, vol. 13, pp. 459–465, 1962.Zentralblatt MATH: 0112.14403
Mathematical Reviews (MathSciNet): MR148046
Digital Object Identifier: doi:10.1090/S00029939196201480461  A. Branciari, “A fixed point theorem for mappings satisfying a general contractive condition of integral type,” International Journal of Mathematics and Mathematical Sciences, vol. 29, no. 9, pp. 531–536, 2002.Zentralblatt MATH: 0993.54040
Mathematical Reviews (MathSciNet): MR1900344
Digital Object Identifier: doi:10.1155/S0161171202007524  T. G. Bhaskar and V. Lakshmikantham, “Fixed point theorems in partially ordered metric spaces and applications,” Nonlinear Analysis A, vol. 65, no. 7, pp. 1379–1393, 2006.
 V. Lakshmikantham and L. Ćirić, “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces,” Nonlinear Analysis A, vol. 70, no. 12, pp. 4341–4349, 2009.
 N. V. Luong and N. X. Thuan, “Coupled fixed point theorems for mixed monotone mappings and an application to integral equations,” Computers and Mathematics with Applications, vol. 62, no. 11, pp. 4238–4248, 2011.Mathematical Reviews (MathSciNet): MR2859979
 H. Aydi, “Some coupled fixed point results on partial metric spaces,” International Journal of Mathematics and Mathematical Sciences, Article ID 647091, 11 pages, 2011.
 W. Shatanawi, B. Samet, and M. Abbas, “Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces,” Computers and Mathematics with Applications, vol. 55, no. 34, pp. 680–687, 2012.Mathematical Reviews (MathSciNet): MR2887408
Digital Object Identifier: doi:10.1016/j.mcm.2011.08.042
Zentralblatt MATH: 1255.54027  V. Berinde, “Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces,” Nonlinear Analysis: Theory, Methods & Applications A, vol. 74, no. 18, pp. 7347–7355, 2011.Mathematical Reviews (MathSciNet): MR2833718
 M. H. Escardo, “PCF extended with real numbers,” Theoretical Computer Science, vol. 162, no. 1, pp. 79–115, 1996.Zentralblatt MATH: 0871.68034
Mathematical Reviews (MathSciNet): MR1408015
Digital Object Identifier: doi:10.1016/03043975(95)002502  B. S. Choudhury and A. Kundu, “A coupled coincidence point result in partially ordered metric spaces for compatible mappings,” Nonlinear Analysis: Theory, Methods & Applications A, vol. 73, no. 8, pp. 2524–2531, 2010.
 S. Radenović, Z. Kadelburg, D. Jandrlić, and A. Jandrlić, “Some results on weak contraction maps,” Bulletin of the Iranian Mathematical Society. In press.
 D. \DH ukić, Z. Kadelburg, and S. Radenović, “Fixed points of Geraghtytype mappings in various generalized metric spaces,” Abstract and Applied Analysis, vol. 2011, Article ID 561245, 13 pages, 2011.
 Z. Liu, X. Li, S. M. Kang, and S. Y. Cho, “Fixed point theorems for mappings satisfying contractive conditions of integral type and applications,” Fixed Point Theory and Applications, vol. 2011, p. 64, 2011.
 You have access to this content.
 You have partial access to this content.
 You do not have access to this content.
More like this
 Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered
b
Metric Spaces
Zabihi, Farzaneh and Razani, Abdolrahman, Journal of Applied Mathematics, 2014  Coupled Coincidence Point Results for
(
ψ
,
α
,
β
)
Weak Contractions in Partially Ordered Metric Spaces
Razani, A. and Parvaneh, V., Journal of Applied Mathematics, 2012  Common Coupled Fixed Point Theorems of SingleValued Mapping for cDistance in Cone Metric Spaces
Fadail, Zaid Mohammed and Bin Ahmad, Abd Ghafur, Abstract and Applied Analysis, 2012
 Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered
b
Metric Spaces
Zabihi, Farzaneh and Razani, Abdolrahman, Journal of Applied Mathematics, 2014  Coupled Coincidence Point Results for
(
ψ
,
α
,
β
)
Weak Contractions in Partially Ordered Metric Spaces
Razani, A. and Parvaneh, V., Journal of Applied Mathematics, 2012  Common Coupled Fixed Point Theorems of SingleValued Mapping for cDistance in Cone Metric Spaces
Fadail, Zaid Mohammed and Bin Ahmad, Abd Ghafur, Abstract and Applied Analysis, 2012  Common Fixed Point Theorems for a Class of Twice Power Type Contraction Maps in GMetric Spaces
Ye, Hongqing and Gu, Feng, Abstract and Applied Analysis, 2012  Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued
Mappings in Partially Ordered Metric Spaces
Klanarong, Chalongchai and Suantai, Suthep, Abstract and Applied Analysis, 2013  Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized MeirKeeler Type Contractions
Aydi, Hassen, Karapınar, Erdal, and Erhan, İnci M., Abstract and Applied Analysis, 2012  Generalized
α

ψ
Contractive Type Mappings and Related Fixed Point Theorems with Applications
Karapınar, Erdal and Samet, Bessem, Abstract and Applied Analysis, 2012  On Generalized Weakly
G
Contractive Mappings in Partially Ordered
G
Metric Spaces
Razani, A. and Parvaneh, V., Abstract and Applied Analysis, 2012  On Weakly
(
C
,
ψ
,
ϕ
)
Contractive Mappings in Ordered Partial Metric Spaces
Karapınar, Erdal and Shatanawi, Wasfi, Abstract and Applied Analysis, 2012  Coincidence and Common Fixed Point Results for Generalized $\alpha$$\psi$ Contractive Type Mappings with Applications
Shahi, Priya, Kaur, Jatinderdeep, and Bhatia, S. S., Bulletin of the Belgian Mathematical Society  Simon Stevin, 2015