A new class of generalized mixed implicit quasi-equilibrium problems (GMIQEP) with four-functions is introduced and studied. The new class of equilibrium problems includes many known generalized equilibrium problems and generalized mixed implicit quasi-variational inequality problems as many special cases. By employing the auxiliary principle technique, some predictor-corrector iterative algori...

We present a nonlinear Lyapunov function based small-gain theorem for analyzing input-to-state stability of discrete-time large-scale systems. Motivated by the fact that many feedback control laws lead to discontinuous closed loop systems, we pose no continuity assumptions on the system dynamics. For characterizing input-to-state stability in this discontinuous setting, we utilize a recently in...

By applying the concept of partially relaxed -strong monotonicity of set-valued mappings due to author and the auxiliary variational inequality technique, some new predictor–corrector iterative algorithms for solving generalized mixed quasi-variational-like inclusions are suggested and analyzed. The convergence of the algorithms only need the continuity and the partially relaxed -stronglymonoto...

development of monitoring systems to fault detection, in offensive and defensive systems, uav, aircraft and other complex systems technically make it possible and favorable, predictive diagnosis of faults. health management model and predict equipment failures (phm) were created in recent years by formation a strong bond of science in engineering, computer and reliability. for this reason, more...

A mixture preorder is a on space (such as convex set) that compatible with the mixing operation. In decision theoretic terms, it satisfies central expected utility axiom of strong independence. We consider when has multi-representation consists real-valued, mixture-preserving functions. If does, must satisfy continuity Herstein and Milnor (1953). Mixture sufficient for dimension countable, but ...

This paper is concerned with sample path properties of real-valued isotropic Gaussian fields on compact two-point homogeneous spaces. In particular, we establish the property strong local nondeterminism an field and then exploit this result to exact uniform modulus continuity for its paths.

Generalised halfspace depth function is proposed. Basic properties of this depth function including the strong consistency are studied. We show, on several examples that our depth function may be considered to be more appropriate for nonsymetric distributions or for mixtures of distributions.

We consider the Fröbenius–Perron semigroup of linear operators associated to a semidynamical system defined in a topological space X endowed with a finite or a σ–finite regular measure. Assuming strong continuity for the Fröbenius–Perron semigroup of linear operators in the space Lμ(X) or in the space Lμ(X) for 1 < p <∞ ([11]). We study in this article ergodic properties of the Fröbenius–Perron...