[PDF] Top 20 Linesearch algorithms for split equilibrium problems and nonexpansive mappings

... The split feasible problem (SFP) in the sense of Censor and Elfving [] is to find x ∗ ∈ C such that Ax ∗ ∈ ...real-world problems such as in signal processing, medical image re- construction, ... See full document

... convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems ... See full document

... well-known problems were variational problems, complementary problems, fixed point problems, saddle point problems and other problems proposed from the equilibrium problem, ... See full document

... general split equality fixed point problem and general split equality problem in a Hilbert ...proposed algorithms to a solution of GSEFP and ...the split feasibility problem, the null point ... See full document

... T is firmly nonexpansive if and only if a mapping T – I is nonexpansive, where I is the identity mapping on H. T : C → H is said to be L-Lipschitz continuous if there exists a constant L >  such that Tx ... See full document

... considered split variational inequality problem [], split common null point problem and Moudafi’s split feasibility problem, and derived the algorithm for these prob- lems from the main algorithm ... See full document

... Similar problems have been studied extensively ...optimization problems, variational inequalities, minimax problems, the Nash equilibrium problem in noncooperative games and others; see, for ... See full document

... the split feasibility problem and the convex feasibility problem are useful to some areas of applied mathematics such as image recovery, convex optimization, and so ...the split common fixed point problem ... See full document

... consider split equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split ... See full document

... optimization problems, variational inequalities, minimax problems, equilibrium equilibriums, fixed point problems (see, ...these algorithms are based on inequality ...underlying ... See full document

... nonlinear mappings S and T , respectively, EP(F) and EP(G) are the solution sets of two equilibrium problems with bifunctions F and G, respectively, and A is a bounded linear ... See full document

... inequality problems and the set of common fixed points of a finite family of quasi-nonexpansive mappings and the set of solutions of the modified split generalized equilibrium problem ... See full document

... of T under some proper conditions. In addition, we also introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of asymptoti- cally nonexpansive mappings and the ... See full document

... some restrictions. Further, using this result, they also investigated the case that B = ∂f , where f : H → (–∞, ∞] is a proper lower semicontinuous convex function. Convergence theorems are established in the framework ... See full document

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. A mapping T of C into itself is called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed point of T ... See full document

... 33. Wu, C: Mann iteration for zero theorems of accretive operators. J. Fixed Point Theory 2013, Article ID 3 (2013) 34. Bruck, RE: Nonexpansive projections on subsets of Banach spaces. Pac. J. Math. 47, 341-355 ... See full document

... In this section, we establish the equivalence between the new general system of variational inequalities 1.17 and some fixed point problem involving a nonexpansive mapping. Using the demiclosedness principle for ... See full document

... In this paper, we suggest a new iteration scheme for finding a common of the solution set of monotone, Lipschitz-type continuous equilibrium problems and the set of fixed points of a nonexpansive ... See full document

... C (x) ⇐⇒ x − x ∗ , x ∗ − y ≥ 0 ∀ y ∈ C. (2.1) Recall that a mapping T : C → H is called nonexpansive if Tx − T y ≤ x − y for all x, y ∈ C. Denote the set of fixed points of T by F(T). It is well known that if C is ... See full document

... In this paper, we are concerned with the problem of finding zero points of accretive oper- ators. Interest in accretive operators stems mainly from their firm connection with equa- tions of evolution, and this is an ... See full document