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
[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.
Most read articles by the same author(s)
- Trung Hieu Nguyen, Fixed point theorems for contractions of rational type in ordered rectangular metric spaces , Dong Thap University Journal of Science: No. 12 (2015): Part B - Natural Sciences
- Trung Hieu Nguyen, Ngoc Cam Huynh, Định lí điểm bất động kép cho ánh xạ co suy rộng trên không gian b -Mêtric thứ tự bộ phận , Dong Thap University Journal of Science: No. 10 (2014): Part B - Natural Sciences
- Trung Hieu Nguyen, Về định lí điểm bất động trên không gian S-mêtric thứ tự bộ phận , Dong Thap University Journal of Science: No. 3 (2013): Part B - Natural Sciences
- Pham Cam Tu Cao, Trung Hieu Nguyen, Convergence of a two-step iteration process to common fixed points of two asymptotically g-nonexpansive mappings in Banach spaces with graphs , Dong Thap University Journal of Science: Vol. 9 No. 3 (2020): Natural Sciences Issue (Vietnamese)
- Thi Be Trang Huynh, Trung Hieu Nguyen, Convergence of mann iteration process to a fixed point of (α,β) - nonexpansive mappings in Lp spaces , Dong Thap University Journal of Science: Vol. 9 No. 5 (2020): Natural Sciences Issue (English)
- Diem Ngoc Huynh, Trung Hieu Nguyen, Covergence of hybrid algorithms for α-nonexpansive mappings in Hilbert spaces , Dong Thap University Journal of Science: No. 25 (2017): Part B - Natural Sciences
- Trung Hieu Nguyen, Hien Huong Hoang, Về định lí điểm bất động chung cho ánh xạ trong không gian kiểu-mêtric , Dong Thap University Journal of Science: No. 8 (2014): Part B - Natural Sciences
- Trung Hieu Nguyen, Thi Vui Nguyen, Về định lí điểm bất động cho lớp ánh xạ C-co yếu trong không gian S-mêtric sắp thứ tự , Dong Thap University Journal of Science: No. 7 (2014): Part B - Natural Sciences
- Kim Ngoan Nguyen, Trung Hieu Nguyen, Convergence of agarwal-type iteration process to common fixed points of two generalized -nonexpansive mappings in uniformly convex Banach spaces , Dong Thap University Journal of Science: No. 37 (2019): Part B - Natural Sciences
- Thi Kieu Ngan Doan, Trung Hieu Nguyen, Some common fixed point theorems for -weak nonlinear contraction in partially ordered metric-type spaces , Dong Thap University Journal of Science: No. 13 (2015): Part B - Natural Sciences