Ekeland variational principle in complete weakly symmetric (1, q2)-quasimetric spaces and applications
DOI10.1080/02331934.2021.2011865zbMath1527.26007OpenAlexW4200515162MaRDI QIDQ6042227
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Publication date: 16 May 2023
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2021.2011865
Ekeland variational principlesystem of quasi-equilibrium problemtriangle inequality propertygeneralized Caristi-like conditionweakly symmetric \((1, q_2)\)-quasimetric space
Nonconvex programming, global optimization (90C26) Set-valued and variational analysis (49J53) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Cites Work
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- Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points
- Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups
- Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points
- The coincidence point problem for set-valued mappings and Ulam-Hyers stability
- Coincidence points of multivalued mappings in \((q_1,q_2)\)-quasimetric spaces
- Balls and metrics defined by vector fields. I: Basic properties
- On completeness in quasi-metric spaces
- Cauchy sequences in quasi-pseudo-metric spaces
- Caristi-like condition and the existence of minima of mappings in partially ordered spaces
- The fixed points of contractions of \(f\)-quasimetric spaces
- Existence of equilibria via Ekeland's principle
- System of vector equilibrium problems and its applications
- On the variational principle
- The Ekeland variational principle for equilibrium problems revisited and applications
- Topological and geometrical properties of spaces with symmetric and nonsymmetric \(f\)-quasimetrics
- Ekeland's principle for cyclically antimonotone equilibrium problems
- Variational principles with generalized distances and the modelization of organizational change
- Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
- Functional Analysis in Asymmetric Normed Spaces
- Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
- Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class C 1
- On the generalized triangle inequality for quasimetrics induced by noncommuting vector fields
- On Equilibrium Problems
- Equivalents of Ekeland's principle
- On Quasi-Metric Spaces
- $ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points
- Variational Principles in Analysis and Existence of Minimizers for Functions on Metric Spaces
- Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces
- Stability Theorems for Estimating the Distance to a Set of Coincidence Points
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