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Natural Sciences Issue (Vietnamese)
Date Published:
15/08/2015
Online Published:
15/08/2015
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542
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116
How to Cite
Nguyen, T. N., & Nguyen, T. H. (2015). The fixed point theorem for almost generalized (ψ ,ϕ)- contractive mappings in ordered b -metric spaces. Dong Thap University Journal of Science (số cũ), 14, 64-70. https://doi.org/10.52714/dthu.14.8.2015.226
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The fixed point theorem for almost generalized (ψ ,ϕ)- contractive mappings in ordered b -metric spaces
Main Article Content
Abstract
The purpose of this paper is to introduce the notion of almost generalized (ψ ϕ)-contractive mappings in ordered b-metric spaces by adding four items of d(f2x,fx), d(f2x,y), d(f2x,fy) and and establish the fixed point theorem for this kind of mappings. In addition, some examples are provided to illustrate the obtained results.
Keywords
fixed point, b -metric space, almost generalized (ψ ϕ) -contractive mapping
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
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[3]. L. B. Ćirićć M. Abbas, R. Saadati, and N. Hussain (2011), “Common fixed points of almost generalized contractive mappings in ordered metric spaces”, Appl. Math. Comput., (217), p. 5784-5789.
[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 (1993), “Contraction mappings in b -metric spaces”, Acta Math. Univ. Ostrav., (1), p. 5-11.
[6]. S. Czerwik (1998), “Nonlinear set-valued contraction mappings in b -metric spaces”, Atti Semin. Mat. Fis. Univ. Modena, 46 (2), p. 263-276.
[7]. M. S. Khan, M. Swaleh, and S. Sessa (1984), “Fixed point theorems by altering distances between the points”, Bull. Austral. Math. Soc., 30 (1), p. 1-9.
[8]. P. Kumam, N. V. Dung, and K. Sitthithakerngkiet (2014), “A generalization of Ćirić fixed point theorems”, Filomat, 7 pages, to appear.
[9]. J. R. Roshan, V. Parvaneh, S. Sedghi, N. Shobkolaei, and W. Shatanawi (2013), “Common fixed points of almost generalized (È,Õ)s -contractive mappings in ordered b -metric spaces”, Fixed Point Theory Appl., (2013:159), p. 1-23.
[10]. W. Shatanawi and A. Al-Rawashdeh (2012), “Common fixed points of almost generalized (È,Õ)-contractive mappings in ordered metric spaces”, Fixed Point Theory Appl., (2012:80), p. 1-14.
[2]. I. A. Bakhtin (1989), “The contraction principle in quasimetric spaces”, Func. An. Ulianowsk Gos. Fed. Ins., (30), p. 26-37.
[3]. L. B. Ćirićć M. Abbas, R. Saadati, and N. Hussain (2011), “Common fixed points of almost generalized contractive mappings in ordered metric spaces”, Appl. Math. Comput., (217), p. 5784-5789.
[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 (1993), “Contraction mappings in b -metric spaces”, Acta Math. Univ. Ostrav., (1), p. 5-11.
[6]. S. Czerwik (1998), “Nonlinear set-valued contraction mappings in b -metric spaces”, Atti Semin. Mat. Fis. Univ. Modena, 46 (2), p. 263-276.
[7]. M. S. Khan, M. Swaleh, and S. Sessa (1984), “Fixed point theorems by altering distances between the points”, Bull. Austral. Math. Soc., 30 (1), p. 1-9.
[8]. P. Kumam, N. V. Dung, and K. Sitthithakerngkiet (2014), “A generalization of Ćirić fixed point theorems”, Filomat, 7 pages, to appear.
[9]. J. R. Roshan, V. Parvaneh, S. Sedghi, N. Shobkolaei, and W. Shatanawi (2013), “Common fixed points of almost generalized (È,Õ)s -contractive mappings in ordered b -metric spaces”, Fixed Point Theory Appl., (2013:159), p. 1-23.
[10]. W. Shatanawi and A. Al-Rawashdeh (2012), “Common fixed points of almost generalized (È,Õ)-contractive mappings in ordered metric spaces”, Fixed Point Theory Appl., (2012:80), p. 1-14.
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