## The notion of $$V$$-$$r$$-invexity in differentiable multiobjective programming.(English)Zbl 1140.90485

Summary: A generalization of convexity, namely $$V$$-$$r$$-invexity, is considered in the case of nonlinear multiobjective programming problems where the functions involved are differentiable. The assumptions on Pareto solutions are relaxed by means of $$V$$-$$r$$-invex functions. Also some duality results are obtained for such optimization problems.

### MSC:

 90C29 Multi-objective and goal programming 26B25 Convexity of real functions of several variables, generalizations 90C26 Nonconvex programming, global optimization
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### References:

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