[PDF] Top 20 Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space

... The variational inequality problem (VIP) is generated from the method of mathematical physics and nonlinear ...considerable applications in many fields, such as physics, mechanics, engineering, ... See full document

... many applications in a wide range of fields, which includes phase retrieval, medical image reconstruction, signal processing, radiation therapy treatment planning, among others (for example, see [9, 12, 13, 14] ... See full document

... a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method, the regularized iteration ...As ... See full document

... hand, variational inclusion problems are being used as mathematical pro- gramming models to study a large number of optimization problems arising in finance, economics, network, transportation and ... See full document

... a split monotone variational inclusion with the constraints of a variational inequality and a fixed point problem of a finite family of strict pseudo-contractions in real Hilbert ... See full document

... the class of T mappings in Hilbert ...strong convergence theorem and gave a numerical test to illustrate our main ...point problems and equilibrium problems which will lead to ... See full document

... the split feasibility problem (SFP) has been rapidly investigated and studied because of its applications in different areas such as signal processing, phase retrievals, image reconstruction, ... See full document

... real Hilbert space, whose the inner product and the norm are denoted by h·, ·i and k · k, ...classical variational inequality problem is to find u ∈ C such ... See full document

... equilibrium problems include fixed point problems, optimization problems, variational inequality problems, Nash equiliubrium problems, and the equilibrium problems ... See full document

... classical variational inequality ...for variational inequality problems and fixed point set of nonexpansive ...Strong convergence theorems are established in the framework of ... See full document

... In this section we first establish a new existence and uniqueness theorem to MVIP (.) with F being a hemicontinuous and η-strongly monotone operator. We then introduce two kinds of algorithms (one implicit and ... See full document

... The problem (.) is very general in the sense that it includes, as special cases, optimization problems, variational inequality problems, the Nash equilibrium problems and others, see, ... See full document

... a variational inequality problem for a monotone and Lipschitz continuous mapping in Hilbert ...a weak con- vergence theorem. As applications, we can use this result to solve ... See full document

... strong convergence theorem for a common element for a variational inequality and a fixed point of a relatively weak nonexpansive map in a 2-uniformly convex and uniformly smooth real ... See full document

... from Theorem 3.3. We obtain the following result for solving the split minimization problems and fixed point problems by applying Theorem ... See full document

... “A convergence theorem based on a hybrid relaxed extragradient method for generalized equilibrium problems and fixed point problems of a finite family of nonexpansive mappings,” Nonlinear ... See full document

... new class of variational inequality problems, namely uncer- tain variational inequality problems based on the uncertainty ...classical variational inequality ... See full document

... to variational inclusion, equilibrium and fixed point problems have been recently extensively investigated based on iterative methods; see [–] and the ref- erences ...possible applications to ... See full document

... We propose a modified hybrid projection algorithm to approximate a common fixed point of a k-strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a strong convergence theorem of ... See full document

... , convergence . From the Riesz representation theorem , this definition of weak convergence for sequences in a Hilbert space is a special case of Definition of weak ... See full document