A note on locally Lipschitzian functions

1995 ◽  
Vol 71 (3) ◽  
pp. 369-370
Author(s):  
Geoffrey Pritchard ◽  
Gül Gürkan ◽  
A. Yonca Özge
Keyword(s):  
Lipschitzian Functions ◽  
Locally Lipschitzian Functions

Minimization of Locally Lipschitzian Functions

1991 ◽  
Vol 1 (1) ◽  
pp. 57-82 ◽  
Author(s):  
Jong-Shi Pang ◽  
Shih-Ping Han ◽  
Narayan Rangaraj
Keyword(s):  
Lipschitzian Functions ◽  
Locally Lipschitzian Functions

scholarly journals A trust region algorithm for lc1 unconstrained optimization

Filomat ◽  
2007 ◽  
Vol 21 (2) ◽  
pp. 285-290
Author(s):  
Nada Djuranovic-Milicic
Keyword(s):  
Rate Of Convergence ◽  
Unconstrained Optimization ◽  
Directional Derivative ◽  
Trust Region ◽  
Second Order ◽  
Trust Region Algorithm ◽  
Lipschitzian Functions ◽  
Convergence Proof ◽  
Locally Lipschitzian Functions

In this paper a trust region algorithm for minimization of locally Lipschitzian functions, which uses the second order Dini upper directional derivative is considered. A convergence proof is given, as well as an estimate of the rate of convergence. .

scholarly journals Local Sharp Vector Variational Type Inequality and Optimization Problems

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1844
Author(s):  
Jong Kyu Kim ◽  
Salahuddin
Keyword(s):  
Vector Optimization ◽  
Optimization Problems ◽  
Type Inequality ◽  
Efficient Solutions ◽  
Vector Optimization Problems ◽  
Lipschitzian Functions ◽  
Locally Lipschitzian Functions ◽  
The Relationship ◽  
Variational Type ◽  
Convexity Conditions

In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, under generalized approximate η-convexity conditions for locally Lipschitzian functions.

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