Article Sidebar
Date Published:
16/04/2015
Online Published:
15/04/2015
Abstract Views: 72
Views PDF: 17
Views PDF: 17
Section
Natural Sciences Issue (Vietnamese)
How to Cite
Nguyen, T. H. (2015). Fixed point theorems for contractions of rational type in ordered rectangular metric spaces. Dong Thap University Journal of Science, 12, 81-87. https://doi.org/10.52714/dthu.12.4.2015.188
Metrics
Fixed point theorems for contractions of rational type in ordered rectangular metric spaces
Main Article Content
Abstract
In this paper, we establish and prove some fixed point theorems for the contraction of rational type in ordered rectangular metric spaces. The obtained results are the generalizations of those in [4, 8]. Also, relevant examples are provided for illustration.
Keywords
Fixed point, the contraction of rational type, ordered rectangular metric space.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
[1]. H. Aydi, E. Karapinar, and H. Lakzian (2012), “Fixed point results on a class of generalized metric spaces”, Math. Sci., 6:46, 6 pages.
[2]. H. Aydi, E. Karapinar, and B. Samet (2014), “Fixed points for generalized -contractions on generalized metric spaces”, J. Inequal. Appl., 2014:229, 16 pages.
[3]. A. Branciari (2000), “A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces”, Publ. Math. Debrecen, 57, pp.31- 37.
[4]. N. V. Can and N. X. Thuan (2013), “Fixed point theorem for generalized weak contractions involving rational expressions”, Open J. Math. Modeling, 1(2), pp.29-33.
[5]. S. Chandok, B. S. Choudhury, and N. Metiya (2014), “Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions”, J. Egyptian Math. Soc., 7 pages, in press.
[6]. I. Cabrera, J. Harjani, and K. Sadarangani (2013), “A fixed point theorem for contractions of rational type in partially ordered metric spaces”, Ann. Univ. Ferrara, 59, 251-258.
[7]. B. K. Dass and S. Gupta (1975), “A extension of Banach contraction principle through rational expression”, Indian J. Pure Appl. Math., 6 (12), 1455-1458.
[8]. I. M Erhan, E. Karapinar, and T. Sekulic (2012), “Fixed points of contractions on rectangular metric spaces”, Fixed Point Theory Appl., 2012:138, 12 pages
[9]. W. Kirk and N. Shahzad (2013), “Generalized metrics and Caristi’s theorem”, Fixed Point Theory Appl., 2013:129, 9 pages.
[10]. R. P. Pathak, R. Tiwari, and R. Bhardwaj (2014), “Fixed point theorems through rational expression in altering distance functions”, Math. Theory Modeling, 4 (7), pp.78- 83.
[2]. H. Aydi, E. Karapinar, and B. Samet (2014), “Fixed points for generalized -contractions on generalized metric spaces”, J. Inequal. Appl., 2014:229, 16 pages.
[3]. A. Branciari (2000), “A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces”, Publ. Math. Debrecen, 57, pp.31- 37.
[4]. N. V. Can and N. X. Thuan (2013), “Fixed point theorem for generalized weak contractions involving rational expressions”, Open J. Math. Modeling, 1(2), pp.29-33.
[5]. S. Chandok, B. S. Choudhury, and N. Metiya (2014), “Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions”, J. Egyptian Math. Soc., 7 pages, in press.
[6]. I. Cabrera, J. Harjani, and K. Sadarangani (2013), “A fixed point theorem for contractions of rational type in partially ordered metric spaces”, Ann. Univ. Ferrara, 59, 251-258.
[7]. B. K. Dass and S. Gupta (1975), “A extension of Banach contraction principle through rational expression”, Indian J. Pure Appl. Math., 6 (12), 1455-1458.
[8]. I. M Erhan, E. Karapinar, and T. Sekulic (2012), “Fixed points of contractions on rectangular metric spaces”, Fixed Point Theory Appl., 2012:138, 12 pages
[9]. W. Kirk and N. Shahzad (2013), “Generalized metrics and Caristi’s theorem”, Fixed Point Theory Appl., 2013:129, 9 pages.
[10]. R. P. Pathak, R. Tiwari, and R. Bhardwaj (2014), “Fixed point theorems through rational expression in altering distance functions”, Math. Theory Modeling, 4 (7), pp.78- 83.
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)
- 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
- Top Ti Nguyen, Trung Hieu Nguyen, Convergence of a hybrid iterative process for asymptotically quasi -nonexpansive mappings and generalized mixed variational $\Phi$-like inequality problems in Banach spaces , Dong Thap University Journal of Science: Vol. 14 No. 2 (2025): Natural Sciences Issue (Vietnamese)
- 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
- 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)
- 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