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Some New Classes of Higher Order Strongly Generalized Preinvex Functions

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Mathematical Analysis in Interdisciplinary Research

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 179))

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.

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Acknowledgements

The authors would like to thank the Rector, COMSATS Institute of Information Technology, Pakistan, for providing excellent research and academic environments.

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Authors and Affiliations

  1. COMSATS University Islamabad, Islamabad, Pakistan

    Muhammad Aslam Noor & Khalida Inayat Noor

Authors
  1. Muhammad Aslam Noor
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  2. Khalida Inayat Noor
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Editor information

Editors and Affiliations

  1. Department of Environmental Sciences, University of Thessaly, Larissa, Greece

    Ioannis N. Parasidis

  2. Department of Environmental Sciences, University of Thessaly, Larissa, Greece

    Efthimios Providas

  3. Department of Mathematics Zografou Campus, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Noor, M.A., Noor, K.I. (2021). Some New Classes of Higher Order Strongly Generalized Preinvex Functions. In: Parasidis, I.N., Providas, E., Rassias, T.M. (eds) Mathematical Analysis in Interdisciplinary Research. Springer Optimization and Its Applications, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-030-84721-0_25

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