پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 685 |
| تعداد مقالات | 9,956 |
| تعداد مشاهده مقاله | 70,677,924 |
| تعداد دریافت فایل اصل مقاله | 62,313,060 |
Dislocated quasi rectangular $b$-metric spaces and fixed point theorems of cyclic and weakly cyclic contractions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 12، شماره 2، بهمن 2021، صفحه 173-191 اصل مقاله (398.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.18584.2023 | ||
| نویسندگان | ||
| Pradip Gunvant Golhare* 1؛ Chintaman Aage2 | ||
| 1Department of Mathematics, ant Dnyaneshwar Mahavidyalaya, Soegaon, Aurangabad, India | ||
| 2School of Mathematical Sciences, North Maharashtra University Jalgaon, India | ||
| تاریخ دریافت: 13 شهریور 1398، تاریخ بازنگری: 16 دی 1398، تاریخ پذیرش: 18 دی 1398 | ||
| چکیده | ||
| In this paper we have established fixed point theorems for $dq$-rectangular $b$-cyclic-Banach and $dq$-rectangular $b$-cyclic-Kannan contraction mappings in dislocated quasi rectangular $b$-metric spaces. We have also presented examples to support some of our results. | ||
| کلیدواژهها | ||
| Dislocated quasi rectangular b-metric space؛ fi xed point؛ contractions؛ Banach contraction؛ Kannan Contraction؛ cyclic contraction؛ weak cyclic contraction | ||
| مراجع | ||
|
[1] A. Branciari, A fixed point theorem of Banach-Caccippoli type on a class of generalised metric spaces, Publ. Math. Debrecen, 57 (2000) 31–37. [2] I. Bakhtin, The contraction mapping principle in quasi-metric spaces, Funct. Anal. 30 (1989) 26–37 . [3] C. Chen, J. Dong and C. Zhu, Some fixed point theorems in b-metric-like spaces, Fixed Point Theo. Appl. 2015 (2015), DOI 10.1186/s13663-015-0369-3. [4] C. Klin-eam and C. Suanoom, Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions, Fixed Point Theo. Appl. 2015 (2015), DOI 10.1186/s13663-015-0325-2. [5] C. Suanoom, C. Klin-eam and S. Suantai, Dislocated quasi-b-metric spaces and fixed point theorems for cyclic weakly contractions, J. Nonlinear Sci. Appl. 9 (2016) 2779–2788. [6] J. Roshan, V. Parvaneh, Z. Kadelburg and N. Hussain, New fixed point results in b-rectangular metric spaces, Nonlinear Anal. Model. Cont. 21(5)(2016) 614—634. [7] M. Alghamdi, N. Hussain and P. Salimi, Fixed point and coupled fixed point theorems on b-metric-like spaces, J. Inequal. Appl. 402 (2013). [8] M. Rahman and M. Sarwar, Dislocated quasi b-metric space and fixed point theorems, Elect. J. Math. Anal. Appl. 4(2) (2016) 16–24. [9] M. Shah and N. Hussain, Nonlinear contractions in partially ordered quasi b-metric spaces. Commun. Korean Math. Soc. 27(1) (2012) 117–128. [10] P. Hitzler and A. Seda, Dislocated topologies, J. Elect. Engin. 2000 (2000) 3–7. [11] R. George, S. Radenovic, K. P. Reshma and S. Shukla, Rectangular b-metric space and contraction principles, J. Nonlinear Sci. Appl. 8 (2015) 1005–1013. [12] W. A. Wilson, On quasi-metric spaces, Amer. J. Math. 53(3) (1931) 675–684. [13] P. G. Golhare and C. T. Aage, Dislocated quasi rectangular b-metric spaces and related fixed point theorems, Elect. J. Math. Anal. Appl. 7(2) (2019) 309–331. | ||
|
آمار تعداد مشاهده مقاله: 16,285 تعداد دریافت فایل اصل مقاله: 9,828 |
||