About Applications of the Fixed Point Theory

Two Results about Fixed Point of Multifunctions

About periodicity of impulsive evolution equations through fixed point theory

*Correspondence: [email protected] 1Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, P.R. China Full list of author information is available at the end of the article Abstract By processing the problem through fixed point theory and propagator theory, we investigate the periodicity of solutions to a class of impulsive evolution equations in Hilbert spaces and estab...

Fixed Point Theorems and Applications in Theory of Games

We introduce the notions of weakly *-concave and weakly naturally quasi-concave correspondence and prove fixed point theorems and continuous selection theorems for these kind of correspondences. As applications in the game theory, by using a tehnique based on a continuous selection, we establish new existence results for the equilibrium of the abstract economies. The constraint correspondences ...

Relative Fixed Point Theory

The Lefschetz fixed point theorem and its converse have many generalizations. One of these generalizations is to endomorphisms of a space relative to a fixed subspace. In this paper we define relative Lefschetz numbers and Reidemeister traces using traces in bicategories with shadows. We use the functoriality of this trace to identify different forms of these invariants and to prove a relative ...

Fixed Point Theory for Admissible Type Maps with Applications

In this paper, assuming a natural sequentially compact conditionwe establish new fixed point theorems for Urysohn type maps between Fréchet spaces. In Section 2 we present new LeraySchauder alternatives, Krasnoselskii and Lefschetz fixed point theory for admissible type maps. The proofs rely on fixed point theory in Banach spaces and viewing a Fréchet space as the projective limit of a sequence...