دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها632
تعداد مقالات9,260
تعداد مشاهده مقاله67,743,671
تعداد دریافت فایل اصل مقاله8,157,608
Saeidi, S.. (1388). Comments on relaxed $(\gamma, r)$-cocoercive mappings. نشریه هنرهای کاربردی, 1(1), 54-57. doi: 10.22075/ijnaa.2010.68
S. Saeidi. "Comments on relaxed $(\gamma, r)$-cocoercive mappings". نشریه هنرهای کاربردی, 1, 1, 1388, 54-57. doi: 10.22075/ijnaa.2010.68
Saeidi, S.. (1388). 'Comments on relaxed $(\gamma, r)$-cocoercive mappings', نشریه هنرهای کاربردی, 1(1), pp. 54-57. doi: 10.22075/ijnaa.2010.68
Saeidi, S.. Comments on relaxed $(\gamma, r)$-cocoercive mappings. نشریه هنرهای کاربردی, 1388; 1(1): 54-57. doi: 10.22075/ijnaa.2010.68

Comments on relaxed $(\gamma, r)$-cocoercive mappings

International Journal of Nonlinear Analysis and Applications
مقاله 6، دوره 1، شماره 1، فروردین 2010، صفحه 54-57    اصل مقاله (136.48 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2010.68
نویسنده
S. Saeidi*
Department of Mathematics, University of Kurdistan, Sanandaj 416, Kurdistan, Iran.
تاریخ دریافت: 31 فروردین 1388،  تاریخ بازنگری: 14 آبان 1388،  تاریخ پذیرش: 24 آبان 1388 
چکیده
We show that the variational inequality $VI(C,A)$ has a unique solution for a relaxed $(\gamma , r)$-cocoercive, $\mu$-Lipschitzian mapping $A: Cto H$ with $r>\gamma \mu^2$, where $C$ is a nonempty closed convex subset of a Hilbert space $H$. From this result, it can be derived that, for example, the recent algorithms given in the references of this paper, despite their becoming more complicated, are not general as they should be.
کلیدواژه‌ها
Common element؛ Contraction؛ Fixed point؛ Iteration؛ Nonexpansive mapping؛ Relaxed $(gamma , r)$-cocoercive mappings؛ variational inequality
مراجع
  1. M. Aslam Noor, General variational inequalities and nonexpansive mappings, J. Math. Anal. Appl., 331(2007), 810-822.
  2. M. Aslam Noor and Z. Huang, Some resolvent iterative methods for variational inclusions and nonexpansive mappings, Appl. Math. Comput., 194(2007), 267-275.
  3. M. Aslam Noor and Z. Huang, Three-step methods for nonexpansive mappings and variational inequalities, Appl. Math. Comput., 187(2007), 680-685.
  4. M. Aslam Noor and Z. Huang, WienerHopf equation technique for variational inequalities and nonexpansive mappings, Appl. Math. Comput., 191(2007), 504-510.
  5. X. Gao and Y. Guo, Strong Convergence of a Modified Iterative Algorithm for MixedEquilibrium Problems in Hilbert Spaces, J. Inequal. Appl., Vol. 2008, Article ID 454181.
  6. Z. Huang and M. Aslam Noor, Some new unified iteration schemes with errors for nonexpansive mappings and variational inequalities, Appl. Math. Comput., 194(2007), 135-142.
  7. X. Qin, M. Shang and Y. Su, A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces, Nonlinear Anal., 69(2008), 3897-3909.
  8. X. Qin, M. Shang and Y. Su, Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems, Math. Comput. Model., 48(2008), 1033-1046.
  9. X. Qin, M. Shang and H. Zhou, Strong convergence of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces, Appl. Math. Comput., 200(2008), 242-253.
  10. R. U. Verma, Generalized system for relaxed cocoercive variational inequalities and projection methods, J. Optim. Theory Appl., 121(2004), 203-210.
  11. R. U. Verma, General convergence analysis for two-step projection methods and applications to variational problems, Appl. Math. Lett., 18(2005) 1286-1292.
آمار
تعداد مشاهده مقاله: 17,512
تعداد دریافت فایل اصل مقاله: 1,873


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب