In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Guignard Qualifications and Stationary Conditions for Mathematical Programming with Nonsmooth Switching Constraints

Fatemeh Gorgini Shabankareh; Nader Kanzi; Javad Izadi; Kamal Fallahi

Volume 6, Issue 2 , July 2021, , Pages 23-35

https://doi.org/10.30473/coam.2021.60747.1176

Abstract
  In this paper‎, ‎some constraint qualifications ‎of‎ the Guignard type are defined for optimization problems with continuously differentiable objective functions and locally Lipschitz switching constraints‎. ‎Then‎, ‎a new type of stationary condition‎, ‎named ...  Read More

Control and Optimization
Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph

Kamal Fallahi

Volume 3, Issue 1 , July 2018, , Pages 65-73

https://doi.org/10.30473/coam.2019.45808.1112

Abstract
  In this paper‎, ‎we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph under two different conditions‎. ‎We then support our main theorem by a non-trivial ...  Read More