[PDF] Top 20 A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces

... Since equilibrium problem (.) provides a unified model of several problems such as variational inequalities, fixed point problems and inclusion problems. In [], Takahashi and Takahashi further ... See full document

... Related to the variational inequalities, we have the problem of finding the fixed points of the nonlinear mappings, which is the subject of current interest in functional analysis. It is natural to consider ... See full document

... important problems have reformulations which require finding solutions of clas- sical variational inequalities, for instance, image recovery, inverse problems, transporta- tion problems, fixed point ... See full document

... such problems include decomposition methods for partial differential equations, applications in game theory and intensity-modulated radiation therapy (IMRT for short), for which comprehensive references are ... See full document

... In , He [] proposed the new algorithm for solving a split equilibrium problem and investigated the convergence behavior in several ways including both weak and strong convergence. Moreover, they gave some ... See full document

... of nonlinear inclusion problems for ordered RME set-valued mappings in order Hilbert spaces []; in , Li has introduced and studied a class of nonlinear inclusion ... See full document

... an algorithm for solving the split feasibility problems for total quasi-asymptotically nonexpansive mappings in infinite-dimensional Hilbert ...[Inverse Problems 26:105018, 2010; ... See full document

... We denote by Sol(EP(f )) the set of solutions of the equilibrium problem EP(f ). We know that the problem EP(f , C) covers many important problems in optimization and nonlinear analysis. It has also found ... See full document

... mathematical problems and have been studied intensively in the past years since they have wide applications in mechanics, physics, optimization and control, non- linear programming, economics and transportation ... See full document

... nonexpansive mappings, the set of solutions of some variational inequality problem, and the set of fixed points of a left amenable semigroup { T t : t ∈ S } of nonexpansive mappings ... See full document

... finite-dimensional spaces was first introduced by Censor and Elfving [11] for modeling inverse problems which arise from phase retrievals and in medical image reconstruction ...in various disciplines ... See full document

... equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces and prove that the modified Mann iteration converges weakly to a common solution of ... See full document

... and mixed equilibrium problem in infinite-dimensional Hilbert spaces. Some weak and strong convergence theorems are proved. At the same time, the demiclosed principle of a k-asymptotically strictly ... See full document

... In this work, motivated by the above results, we consider the problem of finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of ... See full document

... In this paper, we use VI(C, A) to denote the solution set of (.). It is known that x ∈ C is a solution of (.) if and only if x is a fixed point of the mapping Proj C (I – rA), where r >  is a constant, I stands ... See full document

... 4 R. P. Agarwal, Y. J. Cho, J. Li, and N. J. Huang, “Stability of iterative procedures with errors approximating common fixed points for a couple of quasi-contractive mappings in q-uniformly smooth Banach ... See full document

... Motivated by the above works, in this paper we introduce a general iterative scheme for approximating a point of F(T )∩ (A+B) –  ∩ G –  = ∅, where T is a λ-hybrid self-mapping on C, A : C → H is an α-inverse strongly ... See full document

... nonspreading mappings. Recently, Takahashi and Yao [9] proved the following nonlinear ergodic theorem for nonspreading mappings in Hilbert ... See full document

... l-hybrid mappings in a Hilbert ...l-hybrid mappings contain the classes of nonexpansive mappings, nonspreading mappings, and hybrid ... See full document

... equilibrium problems, and the set of a common solutions of the variational inequalities for inverse-strongly monotone mappings in a real Hilbert ... See full document