An intersection theorem for multivalued maps and applications

DOI10.1016/j.camwa.2004.03.003zbMath1060.49016OpenAlexW2091051467MaRDI QIDQ1770646

Kunquan Lan

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.03.003

zbMATH Keywords

multivalued mapsintersection theoremmaximal elementsminimax inequalityKKM maps

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)

Related Items (8)

Analytical properties of the Hurwitz-Lerch zeta function ⋮ Fractional calculus of the Lerch zeta function ⋮ An intersection theorem for set-valued mappings ⋮ A new generalization of the Bernoulli and related polynomials ⋮ Some extensions of the Fermi-Dirac and Bose-Einstein functions with applications to the family of the zeta and related functions ⋮ A section theorem with applications to coincidence theorems and minimax inequalities in \(FWC\)-spaces ⋮ Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function

Cites Work

• Maximal elements over noncompact subsets of linear topological spaces
• On general minimax theorems
• A generalization of Tychonoff's fixed point theorem
• Existence of maximal elements and equilibria in linear topological spaces
• Some properties of convex sets related to fixed point theorems
• Equilibria in markets with a Riesz space of commodities
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• A fixed-point theorem and applications to problems on sets with convex sections and to Nash equilibria.
• New fixed-point theorems for two maps and applications to problems on sets with convex sections and minimax inequalities
• A generalization of \(H\)-space and some results on multivalued mappings without convexity
• A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
• Applications of a theorem concerning sets with convex sections
• The fixed point theory of multi-valued mappings in topological vector spaces
• Necessary and Sufficient Conditions for Maximization of a Class of Preference Relations

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