Distances between Elements of a Semigroup and Estimates for Derivatives Zohra BENDOUAD Isabelle CHALENDAR Jean ESTERLE Jonathan R.PARTINGTON Abstract This paper is concerned first with the behaviour of differences T(t...Distances between Elements of a Semigroup and Estimates for Derivatives Zohra BENDOUAD Isabelle CHALENDAR Jean ESTERLE Jonathan R.PARTINGTON Abstract This paper is concerned first with the behaviour of differences T(t) - T(s) near the origin,where(T(t)) is a semigroup of operators on a Banach space,defined either on the positive real line or a sector in the right half-plane(in which case it is assumed analytic).For the non-quasinilpotent case extensions of results in the published literature are provided,with best possible constants;in the case of quasinilpotent semigroups on the half-plane,it is展开更多
On Relations of Vector Optimization Results with C^(1,1) Data Dusan BEDNARIK Karel PASTOR Abstract In this article we prove that some of the sufficient and necessary optimality conditions obtained by Ginchev,Guerraggi...On Relations of Vector Optimization Results with C^(1,1) Data Dusan BEDNARIK Karel PASTOR Abstract In this article we prove that some of the sufficient and necessary optimality conditions obtained by Ginchev,Guerraggio,Luc[Appl.Math.,51,5-36(2006)]generalize (strictly) those presented by Guerraggio,Luc[J.Optim.Theory Appl.,109,615-629(2001)]. While the former paper shows examples for which the conditions given there are effective but the ones from the latter paper fail,it does not prove that generally the conditions it proposes are stronger.In the present note we complete this comparison with the lacking proof.展开更多
文摘Distances between Elements of a Semigroup and Estimates for Derivatives Zohra BENDOUAD Isabelle CHALENDAR Jean ESTERLE Jonathan R.PARTINGTON Abstract This paper is concerned first with the behaviour of differences T(t) - T(s) near the origin,where(T(t)) is a semigroup of operators on a Banach space,defined either on the positive real line or a sector in the right half-plane(in which case it is assumed analytic).For the non-quasinilpotent case extensions of results in the published literature are provided,with best possible constants;in the case of quasinilpotent semigroups on the half-plane,it is
文摘On Relations of Vector Optimization Results with C^(1,1) Data Dusan BEDNARIK Karel PASTOR Abstract In this article we prove that some of the sufficient and necessary optimality conditions obtained by Ginchev,Guerraggio,Luc[Appl.Math.,51,5-36(2006)]generalize (strictly) those presented by Guerraggio,Luc[J.Optim.Theory Appl.,109,615-629(2001)]. While the former paper shows examples for which the conditions given there are effective but the ones from the latter paper fail,it does not prove that generally the conditions it proposes are stronger.In the present note we complete this comparison with the lacking proof.
