Fixed set theory for closed correspondences with applications to self-similarity and games

New fixed-point theorems for two maps an

New fixed-point theorems for two maps and applications to problems on sets with convex sections and minimax inequalities

✍ K.Q. Lan 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 774 KB

New fixed-point theorems for two maps defined on product spaces are obtained. These new results only require one of them to satisfy a noncompactness condition. Previous results required each map to satisfy a noncompactness condition. Applications of our results are given to intersection problems for