A general iterative method of fixed points for mixed equilibrium problems and variational inclusion problems.
A general iterative process for solving a system of variational inclusions in Banach spaces.
A generalized nonlinear random equations with random fuzzy mappings in uniformly smooth Banach spaces.
A new hybrid algorithm for a system of mixed equilibrium problems, fixed point problems for nonexpansive semigroup, and variational inclusion problem.
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings.
A new system of generalized nonlinear mixed variational inclusions in Banach spaces.
A shrinking projection method for generalized mixed equilibrium problems, variational inclusion problems and a finite family of quasi-nonexpansive mappings.
A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces.
Abstract inclusions in Banach spaces with boundary conditions of periodic type
We study in the space of continuous functions defined on [0,T] with values in a real Banach space E the periodic boundary value problem for abstract inclusions of the form ⎧ ⎨ ⎩ x (T) = x(0), where, is a multivalued map with convex compact values, ⊂ E, is the superposition operator generated by F, and S: × L¹([0,T];E) → C([0,T]; ) an abstract operator. As an application, some results are given to the periodic boundary value problem for nonlinear differential inclusions governed by m-accretive...
Algorithms of common solutions to generalized mixed equilibrium problems and a system of quasivariational inclusions for two difference nonlinear operators in Banach spaces.
An algorithm for finding a common solution for a system of mixed equilibrium problem, quasivariational inclusion problem, and fixed point problem of nonexpansive semigroup.
An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.
An Iterative Procedure for Solving Nonsmooth Generalized Equation
2000 Mathematics Subject Classification: 47H04, 65K10.In this article, we study a general iterative procedure of the following form 0 ∈ f(xk)+F(xk+1), where f is a function and F is a set valued map acting from a Banach space X to a linear normed space Y, for solving generalized equations in the nonsmooth framework. We prove that this method is locally Q-linearly convergent to x* a solution of the generalized equation 0 ∈ f(x)+F(x) if the set-valued map [f(x*)+g(·)−g(x*)+F(·)]−1 is Aubin continuous...
Approximation of solutions to a system of variational inclusions in Banach spaces.
Convergence of iterative sequences for fixed point and variational inclusion problems.
Eigenvalue results for pseudomonotone perturbations of maximal monotone operators
Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X. Applying a recent degree theory of Kartsatos and Skrypnik, we establish the existence of an eigensolution to the nonlinear inclusion 0 ∈ T x + λ C x, with a regularization method by means...
General system of -monotone nonlinear variational inclusions problems with applications.
Generalized nonlinear variational inclusions involving -monotone mappings in Hilbert spaces.
Implicit variational-like inclusions involving general -monotone operators.
Iterative algorithms for finding common solutions to variational inclusion equilibrium and fixed point problems.