On a nonlocal metric regularity of nonlinear operators
On D.C. mappings and differences of convex operators
On existence of a solution for the system of generalized vector quasi-equilibrium problems with upper semicontinuous set-valued maps.
On existence of equilibria of set-valued maps
The present paper is devoted to sufficient conditions for existence of equilibria of Lipschitz multivalued maps in prescribed subsets of finite-dimensional spaces. The main improvement of the present study lies in the fact that we do not suppose any regular assumptions on the boundary of the subset. Our approach is based on behaviour of trajectories to the corresponding differential inclusion.
On Lipschitz Selections of Multifunctions with Decomposable Values
Some conditions for existence of Lipschitz selections of multifunctions with decomposable values are given.
On multivalued nonlinear variational inclusion problems with -accretive mappings in Banach spaces.
On regularity estimates for mappings between embedded manifolds
On robustness of set-valued maps and marginal value functions
The ideas of robust sets, robust functions and robustness of general set-valued maps were introduced by Chew and Zheng [7,26], and further developed by Shi, Zheng, Zhuang [18,19,20], Phú, Hoffmann and Hichert [8,9,10,17] to weaken up the semi-continuity requirements of certain global optimization algorithms. The robust analysis, along with the measure theory, has well served as the basis for the integral global optimization method (IGOM) (Chew and Zheng [7]). Hence, we have attempted to extend the...
On robustness of the regularity property of maps
On the Argmin-sets of stochastic processes and their distributional convergence in Fell-type-topologies
Let be the collection of all -optimal solutions for a stochastic process with locally bounded trajectories defined on a topological space. For sequences of such stochastic processes and of nonnegative random variables we give sufficient conditions for the (closed) random sets to converge in distribution with respect to the Fell-topology and to the coarser Missing-topology.
On the convergence of some methods for variational inclusions
On the directional differentiability properties of the max-min function.
On the existence result for system of generalized strong vector quasiequilibrium problems.
On the Rockafellar theorem for -monotone multifunctions
Let X be an arbitrary set, and γ: X × X → ℝ any function. Let Φ be a family of real-valued functions defined on X. Let be a cyclic -monotone multifunction with non-empty values. It is shown that the following generalization of the Rockafellar theorem holds. There is a function f: X → ℝ such that Γ is contained in the -subdifferential of f, .
Optimal control of delay systems with differential and algebraic dynamic constraints
This paper concerns constrained dynamic optimization problems governed by delay control systems whose dynamic constraints are described by both delay-differential inclusions and linear algebraic equations. This is a new class of optimal control systems that, on one hand, may be treated as a specific type of variational problems for neutral functional-differential inclusions while, on the other hand, is related to a special class of differential-algebraic systems with a general delay-differential...
Optimal control of delay systems with differential and algebraic dynamic constraints
This paper concerns constrained dynamic optimization problems governed by delay control systems whose dynamic constraints are described by both delay-differential inclusions and linear algebraic equations. This is a new class of optimal control systems that, on one hand, may be treated as a specific type of variational problems for neutral functional-differential inclusions while, on the other hand, is related to a special class of differential-algebraic systems with a general delay-differential...
Optimal synthesis via superdifferentials of value function
Optimality conditions of vector set-valued optimization problem involving relative interior.
Optimization analysis involving set functions.
Order-Lipschitzian properties of multifunctions with applications to stability of efficient points