[PDF] Top 20 Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

... We denote by Ξ the set of minimizers of problem (.), and we assume that Ξ = ∅ . The gradient-projection algorithm (GPA) is one of the most elegant methods to solve the min- imization problem (.). The convergence of ... See full document

... Theorem . Let C be a nonempty closed convex subset of a real Hilbert space H, and let N ≥  be an integer. Let F be a bifunction from C × C to R satisfying (A)-(A), let A : C → H be a monotone, ... See full document

... the problems (.) and (.) are nothing but hierarchical Minty variational inequality ...split-type problems, which we will discuss in Section . Inspired by the iterative ... See full document

... the variational inclusion problem. Some typical problems arising in var- ious branches of science, applied sciences, economics, and engineering such as machine learning, image restoration, and signal ... See full document

... several iterative schemes for zeros of monotone operators, variational inequality problems, generalized equilibrium problems, convex minimization problems, and fixed ... See full document

... equilibrium problems includes, as special cases, the class of mixed equilibrium problems (A ≡ ; see, ...equilibrium problems (ζ ≡ ; see, ...equilibrium problems (A ≡ , ζ ≡ ; see, ...of ... See full document

... generalizes convex feasibility problem (CFP), split feasibility problem (SFP) and multiple sets split feasibility problem ...an iterative scheme for solving SCFPP for the class of demicontractive operators ... See full document

... split convex minimization problem, the split variational inequality problem defined over the solution set of monotone variational inclusion problem, the split variational ... See full document

... inclusion problems, saddle point problems, variational inequality problems, minimization problems, the Nash equilibria in noncooperative games, vector equilibrium ... See full document

... the variational inequality problem and the set of fixed points of relatively quasi-nonexpansive mappings in a Banach ...an iterative process for finding an element of Fix(S) ∩ VI(C, A) and obtained a ... See full document

... a variational inequality with a variational in- equality constraint over the set of fixed points of a nonexpansive ...programming problems or hierarchical constrained optimization ... See full document

... the variational inequality (3). It is well known that the variational inequality theory has emerged as an important tool in studying a wide class of obstacle, unilateral, and equilibrium ... See full document

... the iterative scheme and extend the space studied in (Fixed Point Theory and Applications 2012:46, ...new iterative scheme for variational inequality problems in q-uniformly smooth ... See full document

... The variational inequality problem [–] and equilibrium problem [–], which include the fixed point problems and optimization problems [–], have been studied by many ...the ... See full document

... the hierarchical variational inequality problem and equilibrium problem ...the variational inequality problem studied by Yamada and Ogura 10, mathematical program studied by Luo et ... See full document

... Motivated and inspired by research work mentioned above, in this paper, we study the LP and Hadamard well-posedness for the system of generalized quasi-variational inclu- sion problems. This paper is ... See full document

... an iterative process for finding a common element of the set of common fixed points of infinitely many nonexpansive mappings, the set of solutions of ...the variational inequality problem for an ... See full document

... new iterative method for finding a common element of the set of solutions of a gener- alized mixed equilibrium problem ...the variational inequality problem ...proposed iterative scheme ... See full document

... hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone ... See full document

... In this paper, motivated and inspired by the above-mentioned results, we will combine Xu’s method (.) with Tian’s method (.) for a k-strictly pseudocontractive mapping T for some  ≤ k <  and consider the ... See full document