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AIMS Mathematics

2019, Volume 4, Issue 6: 1554-1568. doi: 10.3934/math.2019.6.1554
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Research article

New classes of strongly exponentially preinvex functions

  • Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
  • Received: 05 August 2019 Accepted: 06 September 2019 Published: 08 October 2019

  • MSC : 26D10, 49J40

  • In this paper, some new classes of the strongly exponentially generalized preinvex functions involving an auxiliary non-negative function and a bifunction are introduced. New relationships among various concepts of strongly exponentially generalized preinvex functions are established. It is shown that the optimality conditions of differentiable strongly exponentially generalized preinvex functions can be characterized by exponentially variational-like inequalities. 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.

    Citation: Muhammad Aslam Noor, Khalida Inayat Noor. New classes of strongly exponentially preinvex functions[J]. AIMS Mathematics, 2019, 4(6): 1554-1568. doi: 10.3934/math.2019.6.1554

    Related Papers:

  • In this paper, some new classes of the strongly exponentially generalized preinvex functions involving an auxiliary non-negative function and a bifunction are introduced. New relationships among various concepts of strongly exponentially generalized preinvex functions are established. It is shown that the optimality conditions of differentiable strongly exponentially generalized preinvex functions can be characterized by exponentially variational-like inequalities. 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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