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Date Published:
29/06/2014
Online Published:
29/06/2014
Abstract Views: 13
Views PDF: 7
Views PDF: 7
Section
Natural Sciences Issue
How to Cite
Nguyen, T. H., & Ho, Q. A. (2014). Về định lí điểm bất động cho lớp ánh xạ Meir-Keeler -co trên không gian Kiểu b-mêtric. Dong Thap University Journal of Science, 9, 101-111. https://doi.org/10.52714/dthu.9.6.2014.134
Về định lí điểm bất động cho lớp ánh xạ Meir-Keeler -co trên không gian Kiểu b-mêtric
Main Article Content
Abstract
In this paper, we introduce the notions of Meir-Keeler -contractive mappings, generalized Meir-Keeler -contractive mappings, generalized Meir-Keeler -contractive mappings pair, Meir-Keeler --contractive mappings and generalized Meir-Keeler -contractive mappings in metric-type spaces. Also, we establish and prove a number of fixed point theorems for these mappings. These results are modifications of the fixed point theorems in [1]. Moreover, we provide examples to illustrate the obtained results.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
fixed point, Meir-Keeler -contractive, metric-type
References
[1]. T. Abdeljawad (2013), Meir-Keeler ±-contractive fixed and common fixed point theo- rems, Fixed Point Theory Appl., 2013:19, 11 pages.
[2]. N. V. Dung, N. T. T. Ly, V. D. Thinh and N. T. Hieu (2013), "Suzuki-type fixed point theo- rems for two maps in metric-type spaces", J. Nonlinear Anal. Optim., 4(2), pp. 17-29.
[3]. N. T. Hieu and V. T. L. Hang (2013), "Coupled fixed point theorems for generalized - -contactive mappings in partially ordered metric-type spaces", J. Nonlinear Anal. Optim., submitted.
[4]. M. Jovanovic, Z. Kadelburg and S. Radenovic (2010), "Common fixed point results in metric- type space", Fixed Point Theory Appl., (2010), 15 pages.
[5]. M. A. Khamsi (2010), "Remarks on cone metric spaces and fixed point theorems of contrac- tive mappings", Fixed Point Theory Appl., (2010), 7 pages.
[6]. B. Samet, C. Vetro and P. Vetro (2012), “Fixed point theorems for ±-È-contractive type mappings”, Nonlinear Anal., (75), pp. 2154-2165.
[2]. N. V. Dung, N. T. T. Ly, V. D. Thinh and N. T. Hieu (2013), "Suzuki-type fixed point theo- rems for two maps in metric-type spaces", J. Nonlinear Anal. Optim., 4(2), pp. 17-29.
[3]. N. T. Hieu and V. T. L. Hang (2013), "Coupled fixed point theorems for generalized - -contactive mappings in partially ordered metric-type spaces", J. Nonlinear Anal. Optim., submitted.
[4]. M. Jovanovic, Z. Kadelburg and S. Radenovic (2010), "Common fixed point results in metric- type space", Fixed Point Theory Appl., (2010), 15 pages.
[5]. M. A. Khamsi (2010), "Remarks on cone metric spaces and fixed point theorems of contrac- tive mappings", Fixed Point Theory Appl., (2010), 7 pages.
[6]. B. Samet, C. Vetro and P. Vetro (2012), “Fixed point theorems for ±-È-contractive type mappings”, Nonlinear Anal., (75), pp. 2154-2165.
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