[PDF] Top 20 Iterative approximation of a solution of a general variational like inclusion in Banach spaces

... Introduction. Variational inequality theory has emerged as a powerful tool for a wide class of unrelated problems arising in various branches of physical, engineer- ing, pure, and applied sciences in a unified and ... See full document

... nonlinear general A-monotone operator equation with multivalued ...perturbed iterative algorithms with mixed errors for solving the nonlinear general A-monotone operator equations will be ... See full document

... and iterative approximation of solutions of the set-valued strongly nonlinear mixed variational-like inequality, under the assumptions that the operators are bounded closed ...and ... See full document

... modified general iterative approximation methods for finding a common fixed point of nonexpansive semigroups which is a unique solution of some variational ...reflexive Banach ... See full document

... algorithmic solution to the problem of minimizing a quadratic function over the common set of fixed points of a family of nonexpansive mappings is of extreme value in many applications including set theoretic ... See full document

... a general iterative approximation method for finding common elements of the set of solutions to a general system of variational inclusions ...such iterative scheme for finding a ... See full document

... common solution of split variational inclusion problem and fixed point problem of infinite family of nonexpansive operators in a setting of real Hilbert ...the iterative algorithms which ... See full document

... Corollary 2.4. Let E be a uniformly convex and 2-uniformly smooth Banach space with the smooth constant K. Let M : E → 2 E be a maximal monotone mapping and A : E → E a γ-inverse- strongly accretive mapping. Let T ... See full document

... that variational inequality theory, as a very e ff ective and powerful tool, not only has stimulated new results dealing with partial differential equations, but also has been applied to a large variety of problems ... See full document

... of general fuzzy multivalued vari- ational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalued variational inclusions in ... See full document

... nonlinear variational inclusion problems with (A, η)-accretive mappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlin- ear ... See full document

... of solution to the problem ...also like to notice that although many authors have proven results for finding the solution of the variational inequality problem and the solution set of ... See full document

... On the other hand, Moudafi 3 introduced the viscosity approximation method for nonexpansive mappings see 4 for further developments in both Hilbert and Banach spaces. Let f be a contraction on H such ... See full document

... very general in the sense that it includes, as special cases, optimization prob- lems, equilibrium problems, variational inequality problems, minimax ...monotone inclusion problems, saddle point ... See full document

... modified general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups, which is a unique solution of some variational ...such iterative scheme in a ... See full document

... the approximation of common fixed point of a one-parameter nonexpansive semigroup in a Banach space under some appropriate control ...the iterative scheme which solve some variational ...of ... See full document

... Next we show the uniqueness of a solution of the variational inequality (.). Suppose that x ∈ F(S) and x ˆ ∈ F(S) are solutions to (.), then, without loss of generality, we may assume that there is a ... See full document

... study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent ...that variational-like inclusions in real Banach spaces ... See full document

... a general iterative scheme for finding a solution of a split monotone variational inclusion with the constraints of a variational inequality and a fixed point problem of a finite ... See full document

... new iterative method for finding a common element of the set of solutions of a new general system of variational inequalities for two different relaxed cocoercive mappings and the set of fixed points of ... See full document