Hemivariational inequality approach to constrained problems for star-shaped admissible sets |
| |
Authors: | Z. Naniewicz |
| |
Affiliation: | (1) Department of Civil Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece;(2) Institute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland |
| |
Abstract: | The hemivariational inequality approach is applied to establish the existence of solutions to a large class of nonconvex constrained problems in a reflexive Banach space. The admissible sets are supposed to be star-shaped with respect to a ball. Due to a discontinuity property of the Clarke directional differential related to the corresponding distance functions, the proposed method permits one to attain the solution without passing to zero with the penalization parameter. Some applications to nonconvex constrained variational problems illustrate the theory. |
| |
Keywords: | Hemivariational inequalities constrained variational problems Clarke's generalized gradient star-shaped admissible sets |
本文献已被 SpringerLink 等数据库收录! |