Implicit iterative method for approximating a common solution of split equilibrium problem and fixed point problem for a nonexpansive semigroup
作者： K.R. Kazmi , S.H. Rizvi
DOI: 10.1016/J.AJMSC.2013.04.002
关键词:
摘要: In this paper, we introduce and study an implicit iterative method to approximate a common solution of split equilibrium problem fixed point for nonexpansive semigroup in real Hilbert spaces. Further, prove that the nets generated by converge strongly semigroup. This is unique variational inequality optimality condition minimization problem. Furthermore, justify our main result through numerical example. The results presented paper extend generalize corresponding given Plubtieng Punpaeng (S. Plubti- eng, R. Punpaeng, Fixed solutions inequalities semigroups spaces, Math. Comput. Model. 48 (2008) 279-286) Ciancia- ruso et al. (F. Cianciaruso, G. Marino, L. Muglia, Iterative methods problems space, J. Optim. The- ory Appl. 146 (2010) 491-509).
core.ac.uk
elsevier.com
sci-hub.se 参考文章(29)
Yair Censor, Aviv Gibali, Charles Byrne, Simeon Reich, Weak and Strong Convergence of Algorithms for the Split Common Null Point Problem ,(2011)
W Oettli, E. Blum, From optimization and variational inequalities to equilibrium problems Math. Student. ,vol. 63, pp. 123- 145 ,(1994)
Patrick L. Combettes, Heinz H. Bauschke, Convex Analysis and Monotone Operator Theory in Hilbert Spaces ,(2011)
Siegfried Schaible, Nicolas Hadjisavvas, Sándor Komlósi, Handbook of Generalized Convexity and Generalized Monotonicity ,(2005)
N. Hadjisavvas, S. Schaible, From Scalar to Vector Equilibrium Problems in the Quasimonotone Case Journal of Optimization Theory and Applications. ,vol. 96, pp. 297- 309 ,(1998) , 10.1023/A:1022666014055
K. R. Kazmi, On vector equilibrium problem Proceedings of the Indian Academy of Sciences - Mathematical Sciences. ,vol. 110, pp. 213- 223 ,(2000) , 10.1007/BF02829492
A. Moudafi, Split Monotone Variational Inclusions Journal of Optimization Theory and Applications. ,vol. 150, pp. 275- 283 ,(2011) , 10.1007/S10957-011-9814-6
Somyot Plubtieng, Rattanaporn Punpaeng, Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces Mathematical and Computer Modelling. ,vol. 48, pp. 279- 286 ,(2008) , 10.1016/J.MCM.2007.10.002
Yair Censor, Tommy Elfving, A multiprojection algorithm using Bregman projections in a product space Numerical Algorithms. ,vol. 8, pp. 221- 239 ,(1994) , 10.1007/BF02142692
G. Crombez, A hierarchical presentation of operators with fixed points on Hilbert spaces Numerical Functional Analysis and Optimization. ,vol. 27, pp. 259- 277 ,(2006) , 10.1080/01630560600569957