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Properties of Exponentially m-Convex Functions

In: Nonlinear Analysis and Global Optimization

Author

Listed:
  • Muhammad Aslam Noor

    (COMSATS University Islamabad)

  • Khalida Inayat Noor

    (COMSATS University Islamabad)

Abstract

In this paper, we define and introduce some new concepts of the exponentially m-convex functions involving a fixed constant m ∈ (0, 1]. We investigate several properties of the exponentially m-convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities. Several interesting results characterizing the exponentially m-convex functions are obtained. Results obtained in this paper can be viewed as significant improvement of previously known results.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor, 2021. "Properties of Exponentially m-Convex Functions," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Nonlinear Analysis and Global Optimization, pages 373-388, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-61732-5_17
    DOI: 10.1007/978-3-030-61732-5_17
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