For semi-infinite programming (SIP), we consider a class of smoothed penalty functions, which approximate the exact $$l_\rho (0\rho \le 1)$$ penalty functions. On base of the smoothed penalty function, we present a feasible penalty algorithm for solving SIP. Without any boundedness condition or...

For semi-infinite programming (SIP), we consider a class of smoothed penalty functions, which approximate the exact <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$l_\rho (0\rho \le 1)$$</EquationSource> </InlineEquation> penalty functions. On base of the smoothed penalty function, we present a feasible penalty algorithm for solving SIP. Without any boundedness condition...</equationsource></inlineequation>

In the present paper, we are devoted to exploring conditions of well-posedness for hemivariational inequalities in reflexive Banach spaces. By using some equivalent formulations of the hemivariational inequality considered under different monotonicity assumptions, we establish two kinds of...