We apply a flexible Inexact-Restoration (IR) algorithm to optimization problems with multiobjective constraints under the weighted-sum scalarization approach. In IR methods each iteration has two phases. In the first phase one aims to improve the feasibility and, in the second phase, one minimizes a suitable objective function. We show that with the IR framework there is a natural way to explor...

In the presence of appropriate non-minimal couplings between a scalar field and curvature squared Gauss–Bonnet (GB) term, compact objects such as neutron stars black holes (BHs) can spontaneously scalarize, becoming preferred vacuum. Such strong gravity phase transitions have attracted considerable attention recently. The coupling functions that allow this mechanism are, however, always postula...

Abstract In engineering applications one often has to trade-off among several objectives as, for example, the mechanical stability of a component, its efficiency, weight and cost. We consider biobjective shape optimization problem maximizing ceramic component under tensile load while minimizing volume. Stability is thereby modeled using Weibull-type formulation probability failure external load...

Abstract We study the approximation of general multiobjective optimization problems with help scalarizations. Existing results state that minimization can be approximated well by norm-based However, for maximization problems, only impossibility are known so far. Countering this, we show all can, in principle, equally In this context, introduce a transformation theory scalarizations establishes ...

In managerial and economic applications, there appear problems in which the goal is to simultaneously optimize several criteria functions (CFs). However, since the CFs are in conflict with each other in such cases, there is not a feasible point available at which all CFs could be optimized simultaneously. Thus, in such cases, a set of points, referred to as 'non-dominate' points (NDPs), will be...

We investigate the tachyonic instability of Kerr-Newman (KN) black holes in Einstein-Maxwell-scalar (EMS) theory with a positive coupling parameter $\ensuremath{\alpha}$. This corresponds to exploring onset spontaneous scalarization for KN holes. For this purpose, we use hyperboloidal foliation method solve linearized scalar equation numerically. obtain 3D graph [${\mathrm{log}}_{10}\ensuremath...