[PDF] Top 20 General nonconvex variational inclusions and fixed point problems

... the variational inequalities, we have the problem of finding the fixed points of nonexpansive mappings, which is the subject of current interest in func- tional ...of variational in- equalities and the set of ... See full document

... Motivated and inspired by Aoyama et al. [], Plubieng and Punpaeng [], Plubtemg and Sripard [], Peng et al. [], Tian [], and Deng et al. [], we introduce an iter- ative scheme for finding a common element of the ... See full document

... natural, general and unified framework to study a wide class of problems arising in pure and applied sciences; see ...regarding problems being studied and can stimulate new ideas for problem ...of ... See full document

... Recently, Jung [] introduced and analyzed a composite iterative algorithm by the vis- cosity approximation method for solving a fixed point problem of a nonexpansive mapping and VIP (.) for an inverse-strongly ... See full document

... new general iterative method for finding a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solution of generalized mixed equilibrium problems, and ... See full document

... Caristi’s fixed point theorem, Ekeland’s variational principle and the nonconvex minimization ...on fixed point problems and also showed that the class of w-distance is ... See full document

... extended general variational inequality introduced and studied by Noor 16 in ...differentiable nonconvex function on the nonconvex set can be characterized by the extended general ... See full document

... In 1997, Fl˚am and Antipin 9 introduced an iterative scheme of finding the best approximation to initial data when EPΦ is nonempty and proved a strong convergence theorem. In 2003, Iusem and Sosa 10 presented some ... See full document

... of fixed points of a k-strictly pseudocontractive mapping, the set of solutions of a variational inequality and the set of solutions of a mixed equilibrium problem in the framework of a real Hilbert ... See full document

... There are a substantial number of numerical methods including projection technique and its variant forms, Wiener-Hopf equations, the auxiliary principle technique, and re- solvent equations methods for solving ... See full document

... an general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and of the set of solutions to the inclusion ... See full document

... Yang, L, Zhao, F, Kim, JK: Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-φ -nonexpansive mappings in[r] ... See full document

... of variational inequalities involving two operators, which is called the general nonconvex quasi variational ...the general noncon- vex quasi variational inequalities and the ... See full document

... hierarchical fixed point approach to variational inequalities,” Bulletin of the Australian Mathematical Society, ...hierarchical fixed-point problems,” Pacific Journal of Opti- ... See full document

... of variational inclusions for maximal monotone and inverse-strongly monotone mappings with the constraints of two problems: a generalized mixed equilibrium problem and a common fixed point ... See full document

... in general is only ...for variational inequalities with single-valued monotone maps are given, we will prove that our proposed forward-backward penalization-gradient method ...hierarchical ... See full document

... a general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many nonexpansive ... See full document

... a general iterative scheme for finding a common of the set solutions of variational inequality problems for an inverse-strongly monotone mapping and the set of common fixed points of a ... See full document

... common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued maximal monotone mapping, and inverse strongly monotone mappings and the ... See full document

... solving variational inclusions see 3, 5, 7, 8, 10–13, 16–20 and the references ...of fixed points of nonexpansive mappings in Hilbert ...arbitrary point x 1 x ∈ H, define sequences {x n } ... See full document