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|Paper IPM / M / 15815||
We present optimality conditions for a class of nonsmooth and nonconvex constrained optimization problemsï¿½??.
ï¿½??To achieve this aimï¿½??, ï¿½??various well-known constraint qualifications are extended based on the concept of tangential subdifferential and the relations between them are investigatedï¿½??. ï¿½??Moreoverï¿½??,
ï¿½??local and global necessary and sufficient optimality conditions are derived in the absence of convexity of the feasible setï¿½??. ï¿½??In addition to the theoretical resultsï¿½??, ï¿½??several examples are provided to illustrate the advantage of our outcomesï¿½??.
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