the present study is an attempt to investigate some features of radial basis functions (rbfs) approximation methods related to variational problems. thereby authors applied some properties of rbfs to develop a direct method which reduces constrained variational problem to a static optimization problem. to assess the applicability and effectiveness of the method, some examples are examined. dyna...

In recent years, sequential optimality conditions are frequently used for convergence of iterative methods to solve nonlinear constrained optimization problems. The sequential optimality conditions do not require any of the constraint qualications. In this paper, We present the necessary sequential complementary approximate Karush Kuhn Tucker (CAKKT) condition for a point to be a solution of a ...

The integral representation for the relaxation of a class of energy functionals where the admissible fields are constrained to remain on a C m-dimensional manifold M ⊂ R is obtained. If f : Rd×N → [0,∞) is a continuous function satisfying 0 ≤ f(ξ) ≤ C(1 + |ξ|), for C > 0, p ≥ 1, and for all ξ ∈ Rd×N , then F(u,Ω) : = inf {un}  lim inf n→∞ Z Ω f(∇un) dx : un ⇀ u in W , un(x) ∈M a.e. x ∈ Ω, n ∈ ...

Abstract In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized for a new variational inequality-constrained optimization problems By using set approximating solutions, state characterization theorems on well-posedness. Also, in order to validate derived results, examples are given.

By considering the new forms of notions lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity considered scalar multiple integral functional, in this paper we study well-posedness a class variational problems with inequality constraints. More specifically, by defining set approximating solutions for under study, establish several results on well-posedness.