پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 675 |
| تعداد مقالات | 9,837 |
| تعداد مشاهده مقاله | 69,871,424 |
| تعداد دریافت فایل اصل مقاله | 49,201,555 |
Covarian mappings and coupled fiexd point results in bipolar metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 12، شماره 1، مرداد 2021، صفحه 1-15 اصل مقاله (419.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4650 | ||
| نویسندگان | ||
| G.N.V. Kishore1؛ K.P.R. Rao2؛ Huseyin IsIk* 3؛ B. Srinuvasa Rao4؛ A. Sombabu5 | ||
| 1Department of Engineering Mathematics, Sagi Rama Krishnam Raju Engineering College, Chinamiram, Bhimavaram -534 204, Andhra Pradesh, India | ||
| 2Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur - 522 510, Andhra Pradesh, India | ||
| 3Department of Mathematics, Mus Alparslan University, 49250 Mus, Turkey | ||
| 4Department of Mathematics, Dr. B. R. Ambedkar University, Srikakulam, Etcherla, Andhra Pradesh 532410, Andhra Pradesh, India | ||
| 5Department of Mathematics, Sasi Institute of Technology & Engineering, Sasi College Road, West Godavari District, near Aerodrome, Tadepalligudem, Andhra Pradesh 534101, India | ||
| تاریخ دریافت: 31 فروردین 1399، تاریخ پذیرش: 21 مهر 1399 | ||
| چکیده | ||
| In this paper, we establish the existence and uniqueness of common coupled fixed point results for three covariant mappings in bipolar metric spaces. Moreover, we give an illustration which presents the applicability of the achieved results also we provided applications to homotopy theory as well as integral equations. | ||
| کلیدواژهها | ||
| Bipolar metric space؛ $\omega$-compatible mappings؛ Completeness؛ Common coupled fixed point | ||
| مراجع | ||
|
[1] M. Abbas, M. Alikhan and S. Radenovic, Common coupled fixed point theorems in cone metric spaces for ωcompatible mappings, Appl. Math. Comp. 217(1) (2010) 195–202. [2] A.H. Ansari, H. Isık and S. Radenovic, Coupled fixed point theorems for contractive mappings involving new function classes and applications, Filomat, 31(7) (2017) 1893-–1907. [3] H. Aydi, Some coupled fixed point results on partial metric spaces, Int. J. Math. Mathematical Sci. 2011 (2011) Article ID 647091. [4] H. Baghani, M.E. Gordji and M. Ramezani, Orthogonal sets: The axiom of choice and proof of a fixed point theorem, J. Fixed Point Theory Appl. 18(3) (2016) 465-–477. [5] S. Banach, Sur les operations dans les ensembles abstraits etleur applications aux equations integrals, Fund. Math.3 (1922) 133–181. [6] T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006) 1379–1393. [7] N.V. Can, V. Berinde, N.V. Luong and N.X. Thuan, A coupled coincidence point theorem in partially ordered metric spaces, Kragujevac J. Math. 37(1) (2013) 103–119. [8] Y.J. Cho, B.E. Rhoades, R. Saadati, B. Samet and W. Shatanawi, Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type, Fixed Point Theory Appl. 8 (2012) 1–14. [9] M.E. Gordji and H. Habibi, Fixed point theory in generalized orthogonal metric space, J. LinearTop. Alg. 6(3)(2017) 251–260. [10] M.E. Gordji, M. Ramezani, M. De la Sen and Y.J. Cho, On orthogonal sets and Banach fixed point theorem, Fixed Point Theory 18(2) (2017) 569–578. [11] D. Guo and V. Lakshmikantham, Coupled fixed point of nonlinear operators with applications, Nonlinear Anal. 11 (1987) 623–632. [12] H. Isık, Solvability to coupled systems of functional equations via fixed point theory, TWMS J. App. Eng. Math. 8(1a) (2018) 230—237. [13] H. Isık and C. Park, Existence of a common solution to systems of integral equations via fixed point results, Open Math. 18(1) (2020) 249–261. [14] H. Isık and S. Radenovi´c, A new version of coupled fixed point results in ordered metric spaces with applications, U. P. B. Sci. Bull. Series A 79(2) (2017) 131—138. [15] H. Isık and W. Sintunavarat, An investigation of the common solutions for coupled systems of functional equations arising in dynamic programming, Math. 7(10) (2019) 977. [16] H. Isık and D. Turkoglu, Coupled fixed point theorems for new contractive mixed monotone mappings and applications to integral equations, Filomat 28 (2014) 1253-–1264. [17] S. Khalehoghli, H. Rahimi and M. Eshaghi Gordji, Fixed point theorems in R-metric spaces with applications, AIMS Math. 5(4) (2020) 3125–3137. [18] V. Lakshmikantham and Lj. C´iri´c, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009) 4341–4349. [19] N. V. Luong and N. X. Thuan, Coupled fixed point in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983–992. [20] A. Mutlu and U. Gurdal, Bipolar metric spaces and some fixed point theorems, J. Nonlinear Sci. Appl. 9(9) (2016) 5362–5373. [21] A. Mutlu, K. Ozkan and U. Gurdal, Coupled fixed point theorems on bipolar metric spaces, European J. Pure Appl. Math. 10(4) (2017) 655–667. [22] A. Mutlu, N. Yolcu and B. Mutlu, Coupled fixed point theorems for mixed monotone mappings on partially ordered dislocated quasi metric spaces, Global J. Math. 1(1) (2015) 12–17. [23] A. Petrusel, G. Petrusel, B. Samet and J.C. Yao, Coupled fixed point theorems for symmetric contractions in b-metric spaces with applications to operator equations systems, Fixed Point Theory 17(2) (2016) 457–476. [24] M. Ramezani and H. Baghani, Contractive gauge functions in strongly orthogonal metric spaces, Int. J. Nonlinear Anal. Appl. 8(2) (2017) 23–28. [25] B. Samet and C. Vetro, Coupled fixed point theorem for multivalued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Anal. 74(12) (2011) 4260–4268. [26] W. Sintunavarat, Y.J. Cho and P. Kumam, Coupled fixed point theorems for nonlinear contractions without mixed monotone property, Fixed Point Theory Appl. 2012 (2012) 170.
| ||
|
آمار تعداد مشاهده مقاله: 16,626 تعداد دریافت فایل اصل مقاله: 8,774 |
||