This paper is devoted to provide sufficient Karush Kuhn Tucker (in short, KKT) conditions of optimality second-order for a set-valued fractional minimax problem. In addition, we define duals the types Mond-Weir and Wolfe Further obtain theorems duality under contingent epi-derivative together with generalized cone convexity suppositions second-order.

In this paper, by considering the parametric technique, we study a class of fractional optimization problems involving data uncertainty in objective functional. We formulate and prove robust Karush-Kuhn-Tucker necessary optimality conditions provide their sufficiency convexity and/or concavity assumptions involved functionals. addition, to complete study, an illustrative example is presented.

| Conics are widely accepted as one of the most fundamental image features together with points and line segments. The problem of space reconstruction and correspondence of two conics from two views is addressed in this paper. It is shown that there are two independent polynomial conditions on the corresponding pair of conics across two views, given the relative orientation of the two views. Th...

Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution of the anisotropic discrete Dirichlet boundary value problem. Our results generalize and improve those of [16]. Math Subject Classifications: 39A10, 34B18, 58E30.

In this paper, we illustrated one scenario to modify the Ivanenko-LandauKähler equation. Since Ivanenko and Landau introduced the equation in 1928, the equation has been regarded as having a certain role as a fermion in particular in the discrete Lattice. Also, although it correctly is formulated as an alternative classical field equation by the Ideal projection for the Dirac equation in the Mi...

The Karush–Kuhn–Tucker and value function (lower-level function, to be precise) reformulations are the most common single-level transformations of bilevel optimization problem. So far, these have either been studied independently or as a joint problem in an attempt take advantage best properties from each model. To our knowledge, not yet compared existing literature. This paper is first towards...

Abstract In this paper, the class of differentiable semi-infinite multiobjective programming problems with vanishing constraints is considered. Both Karush–Kuhn–Tucker necessary optimality conditions and, under appropriate invexity hypotheses, sufficient are proved for such nonconvex smooth vector optimization problems. Further, duals in sense Mond–Weir defined considered and several duality re...

This paper deals with a certain class of optimization methods, based on conservative convex separable approximations (CCSA), for solving inequality-constrained nonlinear programming problems. Each generated iteration point is a feasible solution with lower objective value than the previous one, and it is proved that the sequence of iteration points converges toward the set of Karush–Kuhn–Tucker...

Every local minimizer of a smooth constrained optimization problem satisfies the sequential Approximate Karush-Kuhn-Tucker (AKKT) condition. This optimality condition is used to define the stopping criteria of many practical nonlinear programming algorithms. It is natural to ask for conditions on the constraints under which AKKT implies KKT. These conditions will be called Strict Constraint Qua...