Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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HIGHER ORDER STRONGLY EXPONENTIALLY PREINVEX FUNCTIONS

  • Received : 2020.10.08
  • Accepted : 2021.01.18
  • Published : 2021.05.30
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Abstract

In this paper, some new classes of the higher order strongly exponentially preinvex functions are introduced. New relationships among various concepts of higher order strongly exponentially preinvex functions are established. It is shown that the optimality conditions of differentiable higher order strongly exponentially preinvex functions can be characterized by exponentially variational-like inequalities. Parallelogram laws for Banach spaces are obtained as an application. As special cases, one can obtain various new and known results from our results. Results obtained in this paper can be viewed as refinement and improvement of previously known results.

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Acknowledgement

We wish to express our deepest gratitude to our colleagues, collaborators and friends, who have directly or indirectly contributed in the preparation process of this paper. We are also grateful to the Rector of COMSATS University Islamabad, Pakistan for the research facilities and support in our research endeavors.

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