Numerous problems arising in engineering applications can have several objectives to be satisfied. An important class of problems of this kind is lexicographic multi-objective problems where the first objective is incomparably more important than the second one which, in its turn, is incomparably more important than the third one, etc. In this paper, Lexicographic Multi-Objective Linear Program...

Particular couplings between a scalar field and the Gauss-Bonnet invariant lead to spontaneous scalarization of black holes. Here we continue our work on simulating this phenomenon in context binary hole systems. We consider negative coupling for which black-hole spin plays major role process. find two main phenomena: (i) dynamical descalarization, initially scalarized holes form an unscalarize...

In this paper, by virtue of separation theorems convex sets and scalarization functions, some minimax inequalities are first considered. As applications, existence vector equilibrium problems with different order structures were also obtained.

Most evolutionary multi-objective optimization (EMO) methods use domination and nichepreserving principles in their selection operation to find a set of Pareto-optimal solutions in a single simulation run. However, classical generative multi-criterion optimization methods repeatedly solve a parameterized single-objective problem to achieve the same. Due to lack of parallelism in the classical g...

The spontaneous scalarization during the stellar core collapse in massive scalar-tensor theories of gravity introduces extra polarizations (on top plus and cross modes) gravitational waves, whose amplitudes are determined by several model parameters. Observations such scalarization-induced waveforms therefore offer valuable probes into these gravity. Considering a triple-scalar interactions the...

Even though black hole scalarization is extensively studied recently, little has been done in the direction of understanding dynamics this process, especially rapidly rotating regime. In present paper, we focus exactly on problem by considering nonlinear scalar field while neglecting backreaction spacetime metric. This approach proven to give good results various scenarios and have explicitly d...