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Some New Classes of Higher Order Strongly Generalized Preinvex Functions

In: Mathematical Analysis in Interdisciplinary Research

Author

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  • Muhammad Aslam Noor

    (COMSATS University Islamabad)

  • Khalida Inayat Noor

    (COMSATS University Islamabad)

Abstract

In this chapter, we define and introduce some new concepts of the higher order strongly generalized preinvex functions and higher order strongly monotone operators with respect to two auxiliary bifunctions. Some new relationships among various concepts of higher order strongly generalized preinvex functions have been established. As special cases, one can obtain various new and known results from our results. Results obtained in this chapter can be viewed as refinement and improvement of previously known results.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor, 2021. "Some New Classes of Higher Order Strongly Generalized Preinvex Functions," Springer Optimization and Its Applications, in: Ioannis N. Parasidis & Efthimios Providas & Themistocles M. Rassias (ed.), Mathematical Analysis in Interdisciplinary Research, pages 573-588, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-84721-0_25
    DOI: 10.1007/978-3-030-84721-0_25
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    Cited by:

    1. Jordanka Paneva-Konovska, 2022. "Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    2. Paolo Di Barba & Luisa Fattorusso & Mario Versaci, 2022. "Solution Properties of a New Dynamic Model for MEMS with Parallel Plates in the Presence of Fringing Field," Mathematics, MDPI, vol. 10(23), pages 1-20, December.

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