On extended Real Valued Quasi-Concave Functions

Document Type : Research Paper

Authors

1 Department of Mathematics, Hormozgan University, Bandar Abbas, Iran

2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this paper, we first study the non-positive decreasing and inverse co-radiant
functions defined on a real locally convex topological vector space X. Next, we characterize non-positive increasing, co-radiant and quasi-concave functions over X. In fact, we examine abstract concavity, upper support set and superdifferential of this class of functions by applying a type of duality. Finally, we present abstract concavity of extended real valued increasing, co-radiant and quasi-concave functions.

Keywords

References

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Journal of Mahani Mathematical Research
Volume 10, Issue 2
Special Issue Dedicated to Professor M. Radjabalipour on the occasion of his 75th birthday.
October 2021
Pages 163-180

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History

  • Receive Date: 29 July 2021
  • Accept Date: 06 October 2021

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