Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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QUASI STRONGLY E-CONVEX FUNCTIONS WITH APPLICATIONS

  • Hussain, Askar (Department of Mathematics Aligarh Muslim University) ;
  • Iqbal, Akhlad (Department of Mathematics Aligarh Muslim University)
  • Received : 2020.09.14
  • Accepted : 2021.04.12
  • Published : 2021.12.15
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Abstract

In this article, we introduce the quasi strongly E-convex function and pseudo strongly E-convex function on strongly E-convex set which generalizes strongly E-convex function defined by Youness [10]. Some non trivial examples have been constructed that show the existence of these functions. Several interesting properties of these functions have been discussed. An important characterization and relationship of these functions have been established. Furthermore, a nonlinear programming problem for quasi strongly E-convex function has been discussed.

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References

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