We consider the problems of computing the power and exponential moments EXs and EetX of square Gaussian random matrices X = A+BWC for positive integer s and real t, whereW is a standard normal random vector and A, B, C are appropriately dimensioned constantmatrices.We solve the problems by amatrix product scalarization technique and interpret the solutions in system-theoretic terms. The results...

In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak vector equilibrium problems. Moreover, Painlevé-Kuratowski upper convergence of solution set is a...

A parametric algorithm for identifying the Pareto set of a biobjective integer program is proposed. The algorithm is based on the weighted Chebyshev (Tchebycheff) scalarization, and its running time is asymptotically optimal. A number of extensions are described, including: a technique for handling weakly dominated outcomes, a Pareto set approximation scheme, and an interactive version that pro...

A concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎ ‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎ ‎the parametric‎ ‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎ ‎constraint set $K$...

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....

With contributions from: Maarten Menken, Heiner Stuckenschmidt, Holger Wache (Vrije Universiteit Amsterdam) Luciano Serafini (Centro per la Ricerca Scientifica e Tecnologica, Trento) Andrei Tamilin (Università degli Studi di Trento) Mustafa Jarrar (Vrije Universiteit Brussel) Fabio Porto (Ecole Polytechnique Fédérale de Lausanne) Christine Parent (Université de Lausanne) Alan Rector, Jeff Pan (...

With contributions from: Maarten Menken, Heiner Stuckenschmidt, Holger Wache (Vrije Universiteit Amsterdam) Luciano Serafini (Centro per la Ricerca Scientifica e Tecnologica, Trento) Andrei Tamilin (Università degli Studi di Trento) Mustafa Jarrar (Vrije Universiteit Brussel) Fabio Porto (Ecole Polytechnique Fédérale de Lausanne) Christine Parent (Université de Lausanne) Alan Rector, Jeff Pan (...