On a theorem by Ekeland-Hofer

On the Convex Pfaff-darboux Theorem of Ekeland and Nirenberg

The classical Pfaff-Darboux Theorem, which provides local ‘normal forms’ for 1-forms on manifolds, has applications in the theory of certain economic models [3]. However, the normal forms needed in these models come with an additional requirement of convexity, which is not provided by the classical proofs of the Pfaff-Darboux Theorem. (The appropriate notion of ‘convexity’ is a feature of the e...

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

Phelps ' Lemma , Dane s ' Drop Theorem and Ekeland ' sPrinciple in Locally Convex

We present a generalization of the Phelps lemma to locally convex topological vector spaces and show the equivalence of this theorem, Ekeland's principle and Dane s' drop theorem in locally convex spaces to their Banach space counterparts and to a Pareto eeciency theorem due to Isac. Concerning the drop theorem this solves a problem proposed by G. Isac in 1997. We show that another formulation ...

a study on insurer solvency by panel data model: the case of iranian insurance market

the aim of this thesis is an approach for assessing insurer’s solvency for iranian insurance companies. we use of economic data with both time series and cross-sectional variation, thus by using the panel data model will survey the insurer solvency.

A note on spectral mapping theorem

This paper aims to present the well-known spectral mapping theorem for multi-variable functions.