Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes
Caristi's fixed point theorem and its equivalences in fuzzy metric spaces
In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.
Caristi's fixed point theorem in probabilistic metric spaces
In this work, we define a partial order on probabilistic metric spaces and establish some new Caristi's fixed point theorems and Ekeland's variational principle for the class of (right) continuous and Archimedean t-norms. As an application, a partial answer to Kirk's problem in metric spaces is given.
Cartesian currents in the calculus of variations
Cerami (C) Condition and Mountain Pass Theorem for Multivalued Mappings
Partially supported by Sapientia Foundation.We prove a general minimax result for multivalued mapping. As application, we give existence results of critical point of this mapping which satisfies the Cerami (C) condition.
Coerciveness property for a class of non-smooth functionals.
Coercivity of set-valued mappings on metric spaces.
Coercivity properties for order nonsmooth functionals.
Cohomology of the variational complex in the class of exterior forms of finite jet order.
Convex billiards and a theorem by E. Hops.