Applications of General Infimum Principles to Fixed-Point Theory and Game Theory
✍ Scribed by Kulpa, Władysław ;Szymanski, Andrzej
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 508 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0927-6947
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, we introduce the concept of a Q-function defined on a quasi-metric space which generalizes the notion of a τ -function and a w-distance. We establish Ekeland-type variational principles in the setting of quasi-metric spaces with a Q-function. We also present an equilibrium version of
In this paper we prove fixed point theorems for set-valued mappings in products of posets. Applications to the theory of Nash equilibria are presented.
We prove a general form of a fixed point theorem for mappings from a Riemannian manifold into itself which are obtained as perturbations of a given mapping by means of general operations which in particular include the cases of sum (when a Lie group structure is given on the manifold) and compositio