Optimality conditions for preinvex functions using symmetric derivative

Sachin Rastogi (), Akhlad Iqbal () and Sanjeev Rajan ()

Operations Research and Decisions, 2022, vol. 32, issue 4, 91-101

Abstract: As a generalization of convex functions and derivatives, in this paper, the authors study the concept of a symmetric derivative for preinvex functions. Using symmetrical differentiation, they discuss an important characterization for preinvex functions and define symmetrically pseudo-invex and symmetrically quasi-invex functions. They also generalize the first derivative theorem for symmetrically differentiable functions and establish some relationships between symmetrically pseudo-invex and symmetrically quasi-invex functions. They also discuss the Fritz John type optimality conditions for preinvex, symmetrically pseudo-invex and symmetrically quasi-invex functions using symmetrical differentiability.

Keywords: invex sets; preinvex functions; symmetric derivative; Fritz John optimality conditions (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:32:y:2022:i:4:p:91-101:id:6

DOI: 10.37190/ord220406

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