You are here

Home » Content

Generalized Fixed Point Theorems in Partial Metric Spaces

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2016

Key Words:

Author NameUniversity of AuthorFaculty of Author

AMS Codes:

Abstract (2. Language): 
This paper consist of some generalized fixed point theorems in partial metric spaces. The concept of TF -contractive mappings are introduced in partial metric space and thus, a generalization of Banach’s, Kannan’s, Chatterjea’s, Bianciari’s fixed point theorems are established for concept of partial metric space.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-generalized-fixed-point-theorems-partial-metric-spaces.pdf
  • 4
443
451
  • English

REFERENCES

References: 

[1] S.G. Matthews .Partially metric topology, Research Report 212, Department of Computer
Science, University of Warwick, 1992.
[2] S.G. Matthews. Partially metric topology, in Proceedings of the 8th Summer Conference,
Queen’s College, General Topology and its Applications, Vol. 728 of Annals of the New York
Academy of Science, 183-197. 1992.
[3] M. Schellekens. A characterization of partial metrizebility: domains are quantifiable, Theoretical
Computer Sciences, 305(1-3), 409-432. 2003.
[4] P. Waszkiewicz. Partial metrizebility of continuous posets, Mathematical Structures in
Computer Science, 16(2), 359-372. 2006.
[5] S. Banach. Sur les operations dans les ensembles abstraits et leur application aux equations
integerales, Fundamenta Mathematicae, 3, 133-181. 1922.
[6] R. Kannan. Some results on fixed points, Bulletin of Calcutta Mathematical Society, 60,
71-76. 1968.
[7] S. K. Chatterjea. Fixed point theorems, Comptes Rendus de l’Académie bulgare des Sciences,
25, 727-730. 1972.
[8] Ö. Acar and I. Altun. Some generalizations of Caristi type fixed point theorem on partial
metric space, Filomat, 26(4), 833–837. 2012.
[9] E. Karapınar and U. Yüksel. Some common fixed point theorems in partial metric space,
Journal of Applied Mathematics, 2011, Article ID:263621, 2011.
[10] S. Moradi and A. Davood. New extension of Kannan fixed point theorem on complete metric
and generalized metric spaces, International Journal of Mathematical Analysis, 5(47),
2313-1320. 2011.
[11] Z. Mustafa, J.R. Roshan, V. Parvaneh, and Z. Kadelburg Fixed point theorems for weakly
T-Chatterjea and weakly T-Kannan contractions in b-metric spaces, Journal of Inequality
and Applications 2014, 46, 2014.
[12] S. Moradi and A. Beiranvand. Fixed point of TF -contractive single-valued mappings, Iranian
Journal of Mathematical Sciences and Informatics, 5, 25-32. 2010.
[13] M. Kir and H. Kızıltuc. TF -contractive conditions for Kannan and Chatterjea fixed point
theorems, Advances in fixed point theory, 4(1), 140-148. 2014.
[14] A. Branciari. A fixed point theorem for mapping satisfying a general contractive condition
of integral type, International Journal of Mathematics and Mathematical Sciences, 29(9),
531-536. 2002.

Thank you for copying data from http://www.arastirmax.com