Control and Optimization in Applied Mathematics

In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers

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Volume 8 (2023)
Volume 7 (2022)
Volume 6 (2021)
Volume 5 (2020)
Volume 4 (2019)
Volume 3 (2018)
Volume 2 (2017)
Volume 1 (2016)

Keywords = ‎Gap function‎

Number of Articles: 2
Linearization and Gap Function in Nonsmooth Quasiconvex Optimization Using Incident Subdifferential

Hamed Soroush

Volume 7, Issue 1 , January 2022, , Pages 79-92

https://doi.org/10.30473/coam.2022.63088.1196

Abstract
  The purpose of this paper is to develop nonsmooth optimization problems (P) in which all emerging functions are assumed to be real-valued quasiconvex functions that are defined on a finite-dimensional Euclidean space‎. First‎, ‎we introduce two linear optimization problems with the same optimal ...  Read More
Quasi-Gap and Gap Functions for Non-Smooth Multi-Objective Semi-Infinite Optimization Problems

Atefeh Hassani Bafrani; Ali Sadeghieh

Volume 3, Issue 2 , January 2018, , Pages 1-12

https://doi.org/10.30473/coam.2020.50781.1133

Abstract
  In this paper‎, ‎we introduce and study some new single-valued gap functions for non-differentiable semi-infinite multiobjective optimization problems with locally Lipschitz data‎. ‎Since one of the fundamental properties of gap function for optimization problems is its abilities in characterizing ...  Read More