Characterization of nonsmooth quasiconvex functions and their Greenberg-Pierskalla's subdifferentials using semi-quasidifferentiability notion
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Publication:2032013
DOI10.1007/s10957-021-01851-wzbMath1466.26013OpenAlexW3155166562MaRDI QIDQ2032013
Publication date: 15 June 2021
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-021-01851-w
Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)
Related Items (2)
Semistrictly and neatly quasiconvex programming using lower global subdifferentials ⋮ Semi-quasidifferentiability in nonsmooth nonconvex multiobjective optimization
Cites Work
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- From quasidifferentiable to directed subdifferentiable functions: exact calculus rules
- Optimality conditions in quasidifferentiable vector optimization
- Characterization of d.c. Functions in terms of quasidifferentials
- The directed and Rubinov subdifferentials of quasidifferentiable functions. I: Definition and examples
- Convexifactors, generalized convexity, and optimality conditions
- Characterization of nonsmooth quasiconvex and pseudoconvex functions
- Nonsmooth calculus, minimality, and monotonicity of convexificators
- Comparison between quasidifferentials and exhausters
- Characterizations of nonsmooth robustly quasiconvex functions
- Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
- Karush-Kuhn-Tucker type optimality condition for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential
- Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization
- Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems
- Disciplined quasiconvex programming
- Optimality conditions and constraint qualifications for quasiconvex programming
- Fixed point quasiconvex subgradient method
- On the structure of the weakly efficient set for quasiconvex vector minimization
- Characterization of nonsmooth functions through their generalized gradients
- Quasidifferentiability of nonsmooth quasiconvex functions
- Characterisations of quasiconvex functions
- Variational Analysis and Applications
- Relationships Between Convexificators and Greenberg–Pierskalla Subdifferentials for Quasiconvex Functions
- A Method for Minimization of Quasidifferentiable Functions
- A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials
- Quasidifferentiabilities of the expectation functions of random quasidifferentiable functions
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