Optimization Methods and Software Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713645924 The central path visits all the vertices of the Klee-Minty cube Antoine Deza a; Eissa Nematollahi a; Reza Peyghami a; Tamás Terlaky a a Advanced Optimization Laboratory, Department of Computing and Software, McMaster Un...

We study the equilibrium states for an energy functional with a parametric force field on a region of a surface. Consideration of free equilibrium states is based on Lyusternik - Schnirelman's and Skrypnik's variational methods. Consideration of equilibrium states under a constraint of geometrical character is based on an analog of Skrypnik's method, described in [P. Vyridis, {it Bifurcation in...

In this paper, we investigate relation between weak subdifferential and augmented normal cone. We define augmented normal cone via weak subdifferential and vice versa. The necessary conditions for the global maximum are also stated. We produce preliminary properties of augmented normal cones and discuss them via the distance function. Then we obtain the augmented normal cone for the indicator f...

A vectorial nonlocal and nonlinear parabolic problem on a bounded domain for an intermediate state between type-I and type-II superconductivity is proposed. The domain is for instance a multiband superconductor that combines the characteristics of both types. The nonlocal term is represented by a (space) convolution with a singular kernel arising in Eringen’s model. The nonlinearity is coming f...

In the paper an elliptic quasi–variational–hemivariational inequality with constraints in a Banach space is studied. First, we apply Minty technique, KKM principle and theory of nonsmooth analysis to establish solvability problem. Then, employ generalized penalty regularization method for introduce family penalized regularized problems no Gâteaux differentiable potentials. Through limit procedu...

We study the elliptic inclusion given in following divergence form $$\begin{aligned}&-\mathrm {div}\,A(x,\nabla u) \ni f\quad \mathrm {in}\quad \Omega ,\\&u=0\quad {on}\quad \partial . \end{aligned}$$ As we assume that $$f\in L^1(\Omega )$$ , solutions to above problem are understood renormalized sense. also nonstandard, possibly nonpolynomial, heterogeneous and anisotropic growth coercivity co...

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