AMS subject classification: 49K40, 90C31.For a given abstract optimization problem in a Banach space subject to data perturbations, conditions linking well-posedness to well-conditioning are obtained. Explicit estimates of the modulus of well-posedness allow to bound the condition number. Application to mathematical programming problems are presented.Work partially supported by MURST. A preliminary version was presented at the 17-th Symposium on Mathematical Programming with Data Perturbations, Washington, May 1997
AbstractIn this work well-posedness and stability properties of the abstract spline problem are stud...
In this note we consider some notions of well-posedness for scalar and vector variational inequalit...
The paper concerns foundations of sensitivity and stability analysis, being primarily addressed cons...
In this paper we analyze the property of Tykhonov wellposedness in relation to other well-posedness...
This book presents in a unified way the mathematical theory of well-posedness in optimization. The b...
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AMS subject classification: 90C30, 90C33.We survey the relationships between well-posedness and well...
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An overview of the application of the previous theoretical results to game theory is presented.Final...
In this paper we investigate a notion of extended well-posedness in vector optimization. Appropriate...
AbstractLet X be a Banach space and Z a nonempty subset of X. Let J:Z→R be a lower semicontinuous fu...
In this article, we focus to study about well-posedness of a generalized mixed vector variational-li...
We characterize those linear optimization problems that are ill-posed in the sense that arbitrarily ...
This paper presents an approach to the stability and the Hadamard well-posedness of the linear semi-...
AbstractIn this work well-posedness and stability properties of the abstract spline problem are stud...
In this note we consider some notions of well-posedness for scalar and vector variational inequalit...
The paper concerns foundations of sensitivity and stability analysis, being primarily addressed cons...
In this paper we analyze the property of Tykhonov wellposedness in relation to other well-posedness...
This book presents in a unified way the mathematical theory of well-posedness in optimization. The b...
ABSTRACT. In this note we present a new concept of well-posedness for Optimization Prob-lems with co...
AbstractIn this paper we generalize the concepts of well-posedness to equilibrium problems and to op...
AMS subject classification: 90C30, 90C33.We survey the relationships between well-posedness and well...
AbstractWe characterize those linear optimization problems that are ill-posed in the sense that arbi...
An overview of the application of the previous theoretical results to game theory is presented.Final...
In this paper we investigate a notion of extended well-posedness in vector optimization. Appropriate...
AbstractLet X be a Banach space and Z a nonempty subset of X. Let J:Z→R be a lower semicontinuous fu...
In this article, we focus to study about well-posedness of a generalized mixed vector variational-li...
We characterize those linear optimization problems that are ill-posed in the sense that arbitrarily ...
This paper presents an approach to the stability and the Hadamard well-posedness of the linear semi-...
AbstractIn this work well-posedness and stability properties of the abstract spline problem are stud...
In this note we consider some notions of well-posedness for scalar and vector variational inequalit...
The paper concerns foundations of sensitivity and stability analysis, being primarily addressed cons...