Fixed point theorems for nonconvex valued correspondences and applications in game theory
Optimization and Control
2013-04-03 v1
Abstract
In this paper, we introduce several types of correspondences: weakly naturally quasiconvex, *-weakly naturally quasiconvex, weakly biconvex and correspondences with *--weakly convex graph and we prove some fixed point theorems for these kinds of correspondences. As a consequence, using a version of W. K. Kim's quasi-point theorem, we obtain the existence of equilibria for a quasi-game.
Keywords
Cite
@article{arxiv.1304.0716,
title = {Fixed point theorems for nonconvex valued correspondences and applications in game theory},
author = {Monica Patriche},
journal= {arXiv preprint arXiv:1304.0716},
year = {2013}
}
Comments
Accepted for publication in Fixed point theory