Title of article
Error bounds of lower semi-continuous convex-along-rays functions
Author/Authors
Bornayoon ، Amir Department of Mathematics - Graduate University of Advanced Technology , Mohebi ، Hossein Department of Mathematics - Mahani Mathematical Research Center - Shahid Bahonar University of Kerman
From page
139
To page
153
Abstract
In this paper, we study Lipschitz global error bounds for lower semi-continuous convex-along-rays (l.s.c. CAR) functions. We find a condition that ensures the existence of a global error bound for a CAR function. Moreover, we find a condition under which an l.s.c. CAR function does not have a Lipschitz global error bound. Finally, we survey Lipschitz’s global error bounds of an l.s.c. (in particular, an l.s.c. CAR) function from the perspective of abstract convexity.
Keywords
Convex , along , rays functions , Global error bound , abstract convexity
Journal title
International Journal of Nonlinear Analysis and Applications
Journal title
International Journal of Nonlinear Analysis and Applications
Record number
2756024
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