Định lí điểm bất động kép cho ánh xạ co suy rộng trên không gian b -Mêtric thứ tự bộ phận
Main Article Content
Abstract
In this paper, we construct and prove a number of coupled fixed point theorems for generalized contraction mappings on partially ordered b-metric spaces. These results are modifications to the main findings reported in [5]. Also, some examples are given to illustrate the obtained results.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
coupled fixed point, generalized contraction mappings, b-metric spaces
References
[1]. G. Bhaskar and V. Lakshmikantham (2006), “Fixed point theorems in partially ordered metric spaces and applications”, Nonlinear Anal., 65, pp. 1379-1393.
[2]. M. Boriceanu (2009), “Strict fixed point theorems for multivalued operators in b -metric spaces”, Int. J. Mod. Math. 4(3), pp. 285-301.
[3]. S. Czerwik (1998), “Nonlinear set-valued contraction mappings in b -metric spaces”, Atti Semin. Mat. Fis. Univ. Modena, 46(2), pp. 263-276.
[4]. V. Lakshmikantham and L. Ciric (2009), “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces”, Nonlinear Anal., 70, pp. 4341-4349.
[5]. N. V. Luong and N. X. Thuan (2011), “Coupled fixed points in partially ordered metric spaces and application”, Nonlinear Anal., 74, pp. 983-992.
[6]. M. Mursaleen, A. Mohiuddine and P. Agarwal (2012), “Coupled fxed point theorems for ± - È -contractive type mappings in partially ordered metric spaces”, Fixed Point Theory Appl., 2012:228, 11 pages.
[7]. V. Parvaneh, J. R. Roshan and S. Radenovic (2013), “Existence of tripled coincidence points in ordered b -metric spaces and an application to a system of integral equations”, Fixed Point Theory Appl., 2013:130, 19 pages.
[8]. 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, 23 pages.
[9]. B. Samet, C. Vetro and P. Vetro (2012), “Fixed point theorems for ± - È -contractive type mappings”, Nonlinear Anal., 75, pp. 2154 -2165.
[10]. W. Shatanawi, B. Samet and M. Abbas (2012), “Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces”, Math. Comput. Modelling, 55, pp. 680-687.
[2]. M. Boriceanu (2009), “Strict fixed point theorems for multivalued operators in b -metric spaces”, Int. J. Mod. Math. 4(3), pp. 285-301.
[3]. S. Czerwik (1998), “Nonlinear set-valued contraction mappings in b -metric spaces”, Atti Semin. Mat. Fis. Univ. Modena, 46(2), pp. 263-276.
[4]. V. Lakshmikantham and L. Ciric (2009), “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces”, Nonlinear Anal., 70, pp. 4341-4349.
[5]. N. V. Luong and N. X. Thuan (2011), “Coupled fixed points in partially ordered metric spaces and application”, Nonlinear Anal., 74, pp. 983-992.
[6]. M. Mursaleen, A. Mohiuddine and P. Agarwal (2012), “Coupled fxed point theorems for ± - È -contractive type mappings in partially ordered metric spaces”, Fixed Point Theory Appl., 2012:228, 11 pages.
[7]. V. Parvaneh, J. R. Roshan and S. Radenovic (2013), “Existence of tripled coincidence points in ordered b -metric spaces and an application to a system of integral equations”, Fixed Point Theory Appl., 2013:130, 19 pages.
[8]. 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, 23 pages.
[9]. B. Samet, C. Vetro and P. Vetro (2012), “Fixed point theorems for ± - È -contractive type mappings”, Nonlinear Anal., 75, pp. 2154 -2165.
[10]. W. Shatanawi, B. Samet and M. Abbas (2012), “Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces”, Math. Comput. Modelling, 55, pp. 680-687.
Most read articles by the same author(s)
- Trung Hieu Nguyen, Buu Son Ky Huong believer's costume from the perspective of sociocultural and natural environment , Dong Thap University Journal of Science: Vol. 11 No. 4 (2022): Social Sciences and Humanities Issue (Vietnamese)
- Bich Nhu Nguyen, Trung Hieu Nguyen, Assessing pedagogy students’ satisfaction from training activities at Soc Trang Community College , Dong Thap University Journal of Science: Vol. 10 No. 4 (2021): Social Sciences and Humanities Issue (Vietnamese)
- Bich Nhu Nguyen, Bich Tram Nguyen, Trung Hieu Nguyen, Assessing students’ satisfaction from online learning experiences at Soc Trang Community College , Dong Thap University Journal of Science: Vol. 11 No. 6 (2022): Social Sciences and Humanities Issue (Vietnamese)
- Ngoc Cam Huynh, Duc Thinh Vo, K-coincidence point without commutative condition in partially ordered metric , Dong Thap University Journal of Science: Vol. 12 No. 2 (2023): Natural Sciences Issue (Vietnamese)
- Dr. Duc Thinh Vo, Ngoc Cam Huynh, Derivatives with degree of freedom of multifunctions and application , Dong Thap University Journal of Science: Vol. 13 No. 2 (2024): Natural Sciences Issue (Vietnamese)
- Trung Hieu Nguyen, Bich Nhu Nguyen, Using classical test theory to analyze multiple – choice questions , Dong Thap University Journal of Science: No. 35 (2018): Part A - Social Sciences and Humanities
- Van Dung Nguyen, Trung Hieu Nguyen, Duc Thinh Vo, Công bố khoa học của Trường Đại học Đồng Tháp giai đoạn 2003-2013 và đề xuất một số định hướng , Dong Thap University Journal of Science: No. 9 (2014): Part A - Social Sciences and Humanities
- Tan Tien Tran, Trung Hieu Nguyen, Convergence of an iteration to common fixed points of two Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces , Dong Thap University Journal of Science: Vol. 11 No. 2 (2022): Natural Sciences Issue (Vietnamese)
- Thanh Nghia Nguyen, Trung Hieu Nguyen, The fixed point theorem for almost generalized (ψ ,ϕ)- contractive mappings in ordered b -metric spaces , Dong Thap University Journal of Science: No. 14 (2015): Part B - Natural Sciences
- Ai Lam Pham, Trung Hieu Nguyen, On the exsitence and approximation of fixed points of monotone mappings satisfying condition (E) in partially ordered Banach spaces , Dong Thap University Journal of Science: No. 31 (2018): Part B - Natural Sciences