A splitting algorithm for a class of bilevel equilibrium problems involving nonexpansive mappings

... methods for sums of maximal monotone operators with applications J Math Anal Appl 406 321-334 (2013) [21] Y Yao, J.C Liou and S.M Kang, Minimization of equilibrium problems, variational inequality problems ... Monotone Dynamical Systems Mathematical Surveys and Monographs, Amer Math Soc 41 (1995) [18] Tseng P.: A modified forward-backward splitting method for maximal monotone...

Ngày tải lên: 10/08/2015, 10:58

... extragradient type method for a system of equilibrium problems, variational inequality problems and fixed points of finitely many nonexpansive mappings, Journal of Nonlinear Analysis and Optimization, ... Plubtieng and K Ungchittrakool, Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings...

Ngày tải lên: 14/10/2015, 08:18

... http://www.boundaryvalueproblems.com/content/2011/1/37 Page 15 of 15 11 Wang, L, Wei, Q, Kang, D: Multiple positive solutions for p-Laplace elliptic equations involving concave-convex nonlinearities and a Hardytype term Nonlinear Anal 74, 626–638 ... Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex...

Ngày tải lên: 20/06/2014, 22:20

... 2010, Article ID 383740, 19 pages, 2010 11 P Cholamjiak and S Suantai, A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi -nonexpansive ... P Katchang and P Kumam, A general iterative method of fixed points for mixed equilibrium problems and variational inclusion problems, Journal of...

Ngày tải lên: 21/06/2014, 07:20

... of two variational inequalities VI C ,A and VI C,B PC ; solution of a system of two mixed equilibrium problems Tn Trn and Vn solution of a mixed equilibrium problem and a variational inequality ... prove a strong convergence theorem to approximate a fixed point of S that is also a solution of a mixed equilibrium problem and a solution...

Ngày tải lên: 21/06/2014, 20:20

... Agarwal and D O’Regan, Difference equations in abstract spaces, Journal of Australian Mathematical Society Series A 64 (1998), no 2, 277–284 [2] R P Agarwal, D O’Regan, and V Lakshmikantham, Discrete ... and D W Krumme, Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations, Journal of Mathematical Analysis...

Ngày tải lên: 22/06/2014, 22:20

... case of distributed (but finite) delays by means of a more conventional approach which regards the delays as additional variables In the case of infinite delays, a meaningful example can be easily ... where a similar approach was applied to the class of problems with bounded delay The main advantage of such a choice is that the phase space can be endowed with a m...

Ngày tải lên: 29/10/2015, 14:19

... K Aoyama, Y Kimura, W Takahashi, and M Toyoda, “Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space,” Nonlinear Analysis: Theory, Methods & Applications, ... Cholamjiak and S Suantai, “Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces,” Fixed Point Theory and Applic...

Ngày tải lên: 21/06/2014, 07:20

... convex Banach space X, and let t : E → E and T : E → FB E be a single-valued and a multivalued nonexpansive mapping, Fixed Point Theory and Applications respectively, and Fix t ∩ Fix T / ∅ satisfying ... “Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces,” Computers & Mathematics with Applications, vol 54, no 6, pp 872–877, 2...

Ngày tải lên: 21/06/2014, 11:20

... professionalism and patience His wisdom and attitude will always be a guide to me I feel very fortunate to have him as an adviser and a teacher My deepest thanks go to Professor Toh Kim-Chuan and ... optimization problems are said to be matrix optimization problems (MOPs) Many important optimization problems in diverse applications arising from a wide range of...

Ngày tải lên: 09/09/2015, 18:58

... method for finding a common element of the set of solutions of problem (1.2) and the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for ... finding a common element of the set of solutions of a generalized equilibrium problem, the set of fixed points of a family of infinitel...

Ngày tải lên: 21/06/2014, 02:20

... K Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory and Applications, vol 2008, Article ID 528476, ... 2008 Y Su, D Wang, and M Shang, Strong convergence of monotone hybrid algorithm for hemi-relatively nonexpansive mappings, Fixed Point Theory and Applications...

Ngày tải lên: 21/06/2014, 23:20

... of nonexpansive mappings {Sj }j=1 in Hilbert spaces, namely: • a parallel hybrid Mann -extragradient method; • a parallel hybrid Halpern -extragradient method, and • a parallel hybrid iteration -extragradient ... Parallel hybrid methods for a finite family of relatively nonexpansive mappings Numer Funct Anal Optim 35(6) (2014), pp 649-664 [3] P.K Anh, D.V Hieu...

Ngày tải lên: 14/10/2015, 08:21

... a redundant variable, and h (a, b) can be rewritten as h (a) = a Any given Boolean function can be changed so as to satisfy Assumption 1: after it is transformed into an appropriate canonical form ... algorithm is applicable to a class of Boolean networks with at least 1000 nodes Finally, as an illustrative example, the proposed algorithm is applied to the Boolean network...

Ngày tải lên: 21/06/2014, 16:20

... dual problem [2], i.e, ∈ B −1 v − A 1 (−v) (1.4) It is remarkable that three fundamental methods such as Douglas-Rachford splitting method, forward-backward splitting method, forward-backward-forward ... proposed has a structure of the forward-backward-forward splitting as in [4, 11, 16, 18, 23] The applications of this type of algorithm to specific problems in applied mathem...

Ngày tải lên: 14/10/2015, 15:28