1.On vector quasi-equilibrium Problems. 2.The log-quadratic proximal methodology in convex optimization algorithms and variational inequalities. 3.The continuum model for demand supply problems. 4.Constrained problems of calculus of variations via penalization technique. 5.Variational problems with constraints involving higher order derivatives. 6.On the strong solvability of a unilateral boundary value problem for nonlinear parabolic operators in the plane. 7.Solving a special class of discrete optimal control problems via a parallel interior-point method. 8.Solving large scale fixed charge network flow problems. 9.Variable projection methods for large-scale quadratic optimization in data analysis applications. 10.Strong solvability of boundary value problems in elasticity with unilateral constraints. 11.Time dependent varitional inequalities – some recent trends. 12.On the contractibility of the efficient and weakly efficient sets in R2. 13.On auxiliary principle for equilibrium problems. 14.Non regular data in unilateral variational problems. 15.Variational geometry and equilibrium. 16.Mechanic equilibrium and equilibrium systems. 17.False numerical convergence in some generalized Newton methods. 18.Transportation networks with capacity constraints.