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Date Published:
17/04/2016
Online Published:
17/04/2016
Abstract Views: 15
Views PDF: 12
Views PDF: 12
Section
Natural Sciences Issue
How to Cite
Bui, T. N. H., & Nguyen, T. H. (2016). Fixed point theorems for generalized pata-type contractions in partially ordered b-metric spaces. Dong Thap University Journal of Science, 19, 67-74. https://doi.org/10.52714/dthu.19.4.2016.338
Fixed point theorems for generalized pata-type contractions in partially ordered b-metric spaces
Main Article Content
Abstract
In this paper, we extend the generalized Pata-type contraction mentioned in [7] to partially ordered b-metric spaces and state certain fixed point theorems for new contractions. We also come up with some corollaries and provide relevant examples.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
Fixed point, partially ordered b-metric spaces, generalized Pata-type contractions.
References
[1]. A. Aghajani, M. Abbas, and J. R. Roshan (2014), “Common fixed point of generalized weak contractive mappings in partially ordered b -metric spaces”, Math. Slovaca, 64 (4), p. 941-960.
[2]. T. V. An, N. V. Dung, Z. Kadelburg, and S. Radenovic (2015), “Various generalizations of metric spaces and fixed point theorems”, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat.RACSAM, (109), p. 175-198.
[3]. S. Balasubramanian (2014), “A Pata-type fixed point theorem”, Math. Sci., p. 1-5.
[4]. P. Collaco and J. C. E. Silva (1997), “A complete comparison of 25 contraction conditions”,
Nonlinear Anal., 30 (1), p. 471-476.
[5]. S. Czerwik (1998), “Nonlinear set-valued contraction mappings in b -metric spaces”, Atti Semin. Mat. Fis. Univ. Modena, 46 (2), p. 263-276.
[6]. M. Eshaghi, S. Mohseni, M. R. Delavar, M. D. L. Sen, G. H. Kim, and A. Arian (2014), “Pata contractions and coupled type fixed point”, Fixed Point Theory Appl., (2014:130), p. 1-10.
[7]. Z. Kadelburg and S. Radennovic (2014), “Fixed point and tripled fixed point theorems under Pata-type conditions in ordered metric paces”, Int. J. Anal. Appl., 6 (1), p. 113-122.
[8]. V. Pata (2011), “A fixed point theorem in metric spaces”, J. Fixed Point Theory Appl., (10), p. 299-305.
[2]. T. V. An, N. V. Dung, Z. Kadelburg, and S. Radenovic (2015), “Various generalizations of metric spaces and fixed point theorems”, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat.RACSAM, (109), p. 175-198.
[3]. S. Balasubramanian (2014), “A Pata-type fixed point theorem”, Math. Sci., p. 1-5.
[4]. P. Collaco and J. C. E. Silva (1997), “A complete comparison of 25 contraction conditions”,
Nonlinear Anal., 30 (1), p. 471-476.
[5]. S. Czerwik (1998), “Nonlinear set-valued contraction mappings in b -metric spaces”, Atti Semin. Mat. Fis. Univ. Modena, 46 (2), p. 263-276.
[6]. M. Eshaghi, S. Mohseni, M. R. Delavar, M. D. L. Sen, G. H. Kim, and A. Arian (2014), “Pata contractions and coupled type fixed point”, Fixed Point Theory Appl., (2014:130), p. 1-10.
[7]. Z. Kadelburg and S. Radennovic (2014), “Fixed point and tripled fixed point theorems under Pata-type conditions in ordered metric paces”, Int. J. Anal. Appl., 6 (1), p. 113-122.
[8]. V. Pata (2011), “A fixed point theorem in metric spaces”, J. Fixed Point Theory Appl., (10), p. 299-305.
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