Weak finite intersection characterizations of existence in optimization
From MaRDI portal
Publication:1746718
DOI10.1007/s40840-016-0370-yzbMath1391.49008OpenAlexW2344616482MaRDI QIDQ1746718
Vo Si Trong Long, Phan Quoc Khanh
Publication date: 25 April 2018
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-016-0370-y
optimization problemsKKM-type theoremscharacterizations of the solution existenceintersection point theoremsweak finite intersection property
Noncooperative games (91A10) Set-valued and variational analysis (49J53) (n)-person games, (n>2) (91A06) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35)
Related Items
Noncoercive and noncontinuous equilibrium problems: existence theorem in infinite-dimensional spaces ⋮ General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex KKM maps, monotone operators and Minty variational inequalities
- Generalized KKM theorems and common fixed point theorems
- Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization
- Invariant-point theorems and existence of solutions to optimization-related problems
- On general minimax theorems
- A generalization of Tychonoff's fixed point theorem
- On the use of KKM multifunctions in fixed point theory and related topics
- Contractibility and generalized convexity
- Existence of solutions in variational relation problems without convexity
- Generalized KKM type theorems in FC-spaces with applications. I
- An abstract problem in variational analysis
- Stability of solutions in parametric variational relation problems
- Generalized KKM theorem and variational inequalities
- A general minimax theorem based on connectedness
- Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
- Minimax theorems for interval spaces
- Topological intersection theorems of set-valued mappings without closed graphs and their application
- Intersection theorems and minimax theorems based on connectedness
- Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems
- On the existence of constant selections
- On the existence of solutions to vector quasivariational inequalities and quasicomplementarity problems with applications to traffic network equilibria
- Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization
- Coincidence theorems for admissible multifunctions on generalized convex spaces
- Three types of variational relation problems
- Existence of solution of minimax inequalities, equilibria in games and fixed points without convexity and compactness assumptions
- General KKM theorem with applications to minimax and variational inequalities
- On topological existence theorems and applications to optimization-related problems
- Some of Sion's heirs and relatives
- Nash points, Ky Fan inequality and equilibria of abstract economies in Max-plus and \(\mathbb B\)-convexity
- Topologically-based characterizations of the existence of solutions of optimization-related problems
- Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces
- Topological Minimax Theorems
- Transfer Method for Characterizing the Existence of Maximal Elements of Binary Relations on Compact or Noncompact Sets
- Topological Intersection Theorems
- On the general minimax theorem
- A unified study of existence theorems in topologically based settings and applications in optimization
- A topological characterization of the existence of fixed points and applications
- Minimax Theorems
- Set-valued analysis
