Weakened subdifferentials and Frechet differentiability of real functions [PDF]
Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
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Generalized Ordered Weighted Aggregation Robustness to Solve Uncertain Single Objective Optimization Problems [PDF]
Robust optimization aims to find optimum points from the collection of points that are feasible for every possible scenario of a given uncertain set. An optimum solution to a robust optimization problem is commonly found by the min-max robust counterpart
Ghosh, Debdas +2 more
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Subdifferential representation of homogeneous functions and extension of smoothness in Banach spaces [PDF]
, 2010 In this paper, we mainly consider proximal subdifferentials of lower semicontinuous functions defined on real Hilbert space and Clarke\u27s subdifferentials of locally Lipschitzian functions defined on Banach space respectively, and obtain the ...
Wang, Dong, Wei, Zhou, Yang, Fu Chun
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On Relationships Between Vector Variational Inequality And Nonsmooth Vector Optimization Problems Via Strict Minimizers [PDF]
, 2017 This paper deals with the relations between vector variational inequality problems and nonsmooth vector optimization problems using the concepts of efficient and strict minimizers of order m in terms of Clarke subdifferential.
Mohapatra, R. N. +2 more
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Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization. [PDF]
J Optim Theory Appl, 2020 Constantin E.
europepmc +1 more source
Weak solvability and numerical analysis of a class of time-fractional hemivariational inequalities with application to frictional contact problems [PDF]
summary:We investigate a generalized class of fractional hemivariational inequalities involving the time-fractional aspect. The existence result is established by employing the Rothe method in conjunction with the surjectivity of multivalued ...
Bouallala, Mustapha
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Nonsmooth generalized guiding functions for periodic differential inclusions [PDF]
, 2006 Filippakis, Michael +5 more
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Using Positive Spanning Sets to Achieve d-Stationarity with the Boosted DC Algorithm. [PDF]
Vietnam J Math, 2020 Artacho FJA, Campoy R, Vuong PT.
europepmc +1 more source
A fractional order nonlinear model of the love story of Layla and Majnun.
Sci Rep, 2023 Sabir Z, Said SB.
europepmc +1 more source