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In this chapter, by using the notion of variational derivative, the concepts of invex set related to some given functions, monotonicity, hemicontinuity, generalized convexity and Fréchet differentiability assumptions of the involved functionals, we study well-posedness and existence results for some classes of constrained variational control problems.

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On Variational Derivative and Controlled Variational Inequalities

  • 会议论文

  • 发表日期：

    2025年

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  • Savin Treanţă,
  • Najeeb Abdulaleem

摘要

In this chapter, by using the notion of variational derivative, the concepts of invex set related to some given functions, monotonicity, hemicontinuity, generalized convexity and Fréchet differentiability assumptions of the involved functionals, we study well-posedness and existence results for some classes of constrained variational control problems.