Fixed Points, Continuous Selections, and Existence of Solution of Optimization-Related Problems
From MaRDI portal
Publication:4639192
DOI10.1080/01630563.2017.1355320zbMath1390.90445OpenAlexW2738579377MaRDI QIDQ4639192
Vo Si Trong Long, Phan Quoc Khanh
Publication date: 3 May 2018
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2017.1355320
fixed pointscontinuous selectionsexistence of solutionscoincidence pointsequilibriavariational relationsquasivariational inclusionsGFC-spaces
Nonconvex programming, global optimization (90C26) Variational inequalities (49J40) Programming in abstract spaces (90C48) Variational and other types of inclusions (47J22)
Related Items
Stability for Parametric Vector Quasi-Equilibrium Problems With Variable Cones, MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION, General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Variational relation problems and equivalent forms of generalized Fan-Browder fixed point theorem with applications to Stampacchia equilibrium problems
- Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization
- Existence of solutions in variational relation problems without convexity
- Fixed point theorems for compact multimaps on almost \(\varGamma\)-convex sets in generalized convex spaces
- Collective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tions
- Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities
- An abstract problem in variational analysis
- KKM property, \(S\)-KKM property and fixed point theorems
- Stability of solutions in parametric variational relation problems
- Generalized KKM-type theorems in GFC-spaces and applications
- On the existence of solutions to quasivariational inclusion problems
- Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications
- On the existence of solutions to vector quasivariational inequalities and quasicomplementarity problems with applications to traffic network equilibria
- The generalized game and the system of generalized vector quasi-equilibrium problems in locally \(FC\)-uniform spaces
- Fixed point theorems for multifunctions having KKM property on almost convex sets
- Fixed points for Kakutani factorizable multifunctions
- Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces
- Fixed points of upper semicontinuous mappings in locally G-convex spaces
- Coincidences and fixed points in locally G-convex spaces
- Fixed point theorems in locally H-convex uniform spaces
- A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
- Fixed points of compact multifunctions
- Fixed point theorems in locally \(G\)-convex spaces
