Optimality conditions for preinvex functions using symmetric derivative

• Authors: Sachin Rastogi , Akhlad Iqbal , Sanjeev Rajan

Abstracts

EN

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

EN

invex set; preinvex function; symmetric derivative; Fritz John optimality conditions

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2022
• Volume: 32
• Issue: 4

Dates

published

2022

Contributors

author

Sachin Rastogi

• Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly-243003, UP, India

author

Akhlad Iqbal

• Department of Mathematics, Aligarh Muslim University, Aligarh-202002, UP, India

author

Sanjeev Rajan

• Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly-243003, UP, India

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Identifiers

DOI

10.37190/ord220406

Biblioteka Nauki

2204082