Fixed point theorems in homotopically trivial spaces

DOI10.1080/00036810310001613133zbMath1067.54030OpenAlexW2083266253MaRDI QIDQ4444106

Mircea Balaj

Publication date: 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001613133

zbMATH Keywords

fixed point theoremshomotopically trivial spaces

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• On some convexities
• A generalization of Tychonoff's fixed point theorem
• Contractibility and generalized convexity
• Some properties of convex sets related to fixed point theorems
• Some applications of the Kakutani fixed point theorem
• Non-compact sets with convex sections
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• On the existence of constant selections
• Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
• On sets with convex sections
• The fixed point theory of multi-valued mappings in topological vector spaces
• Intersection of sets with 𝑛-connected unions
• New fixed point theorems for a family of mappings and applications to problems on sets with convex sections

This page was built for publication: Fixed point theorems in homotopically trivial spaces