پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 390 |
| تعداد مقالات | 3,409 |
| تعداد مشاهده مقاله | 5,240,792 |
| تعداد دریافت فایل اصل مقاله | 3,581,349 |
On coincidence points of generalized contractive pair mappings in convex metric spaces | ||
| Journal of Hyperstructures | ||
| دوره 4، شماره 2، اسفند 2015، صفحه 136-141 اصل مقاله (245.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2015.2604 | ||
| نویسندگان | ||
| Moohammad Moosaei* 1؛ Azizollah Azizi2 | ||
| 1Department of Mathematics, Faculty of Science, Bu-Ali Sina University, P.O.Box 6517838695, Hamedan, Iran | ||
| 2Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O.Box 34149-16818, Qazvin, Iran | ||
| چکیده | ||
| We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point. | ||
| کلیدواژه‌ها | ||
| Banach operator pair؛ Coincidence point؛ Common fixed point؛ Convex metric space؛ Fixed point؛ Weakly compatible pair | ||
| مراجع | ||
|
[1] R. P. Agarwal, D. O’Regan and D. R. Sahu, Fixed Point Theory for Lipschitzian-Type Mappings with Applications, Springer, Heidelberg (2003). [2] I. Beg, Inequalities in metric spaces with applications, Topol. Methods Nonlinear Anal. 17 (2001), 183-190. [3] I. Beg, Structure of the set of fixed points of nonexpansive mappings on convex metric spaces, Ann. Univ. Marie Curie-Sklodowska Sec. A LII (1998), 7-14. [4] I. Beg and M. Abbas, Fixed points and best approximation in Menger convex metric spaces Arch. Math, 41 (2005), 389-397. [5] I. Beg and A. Azam, Fixed point on star-shaped subsets of convex metric spaces, Indian J. Pure. Appl. Math. 18 (1987), 594-596. [6] I. Beg, A. Azam, F. Ali and T. Minhas, Some fixed point theorems in convex metric spaces, Rend. Cric. Math. Palermo(2). XL (1991), 307-315. [7] J. Li. Z. Chen, Common fixed-points for Banach operator pairs in best approxi-mation, J. Math. Anal. Appl. 336 (2007), 1466-1475. [8] R. Chugh and S. Kumar, Common fixed points for weakly compatible maps, Proc.Indian Acad. Sci. Math. Sci. 111 (2001), 241-247. [9] L. Ciric,On some discontinuous fixed point theorems in convex metric spaces,Czechoslov. Math. J. 43:188(1993),319-326. [10] M. D. Guay, K. L. Singh and J. H. M. Whitfield, Fixed point theorems for nonex-pansive mappings in convex metric spaces, Proceedings, Conference on Nonlinear Analysis, Marcel Dekker Inc., New York, 80 (1982), 179-189. [11] R. H. Haghi, S. H. Rezapour and N. Shahzad, Some fixed point generalizations are not real generalizations, Nonlinear Anal. 74 (2011), 1799-1803. [12] N. Hussian, Common fixed points in best approximation for Banach operator pairs with Ciric type I-contractions, J. Math. Anal. Appl. 338 (2008), 1351-1363. [13] N. Hussian, M. Abbas and J. K. Kim, Common fixed point and invariant approx-imation in Menger convex metric spaces, Bull. Korean Math. Soc. 48 (2008),671-680. [14] G. Jungck, Common fixed point theorems for compatible self maps of Hausdorff topological spaces, Fixed Point Theory Appl. 3 (2005), 355-363. [15] G. Jungck, Common fixed points for commuting and compatible maps on com-pacta, Proc. Amer. Math. Soc. 103 (1988), 978-983. [16] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Sci. 9 (1986), 771-779. [17] G. Jungck and B. E. Rhoades, Fixed point for set valued functions without con-tinuity, Indian J. Pure Appl. Math. 29(3) (1998), 227-238. [18] M. Moosaei, Fixed point theorems in convex metric spaces, Fixed Point Theory Appl, 2012, Article ID 164 (2012). [19] R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440. [20] S. Sessa, On a weak commutativity condition of mappings in fixed point consid-erations, Publ. Inst. Math. 32 (1982), 149-153. [21] T. Shimizu and W. Takahashi, Fixed point theorems in certain convex metric spaces, Math. Japon. 37 (1992), 855-859. [22] T. Takahashi, A convexity in metric spaces and nonexpansive mapping I, Kodai Math. Sem. Rep. 22 (1970), 142-149. | ||
|
آمار تعداد مشاهده مقاله: 67 تعداد دریافت فایل اصل مقاله: 58 |
||