Second order monotonicities and second order variational-like inequality problems

被引：1
|
作者：
Choudhury S. [1 ]
Jayswal A. [1 ]
Ahmad I. [2 ]
机构：
[1] Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826004, Jharkhand
[2] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran
来源：
Rendiconti del Circolo Matematico di Palermo (1952 -) | 2016年 / 65卷 / 1期
关键词：
Generalized second order monotonicity; Mathematical programming problem; Second order invexity; Second order variational-like inequality problem;
D O I：
10.1007/s12215-015-0224-8
中图分类号：
学科分类号：
摘要：
The purpose of this paper is to introduce the concept of generalized second order invex monotonicities and investigate the relations between generalized second order invex functions with the generalized second order invex monotonicities of their gradient functions. We also introduce the notion of second order variational-like inequality problem and explore the conditions for existence and uniqueness of their solutions. Furthermore, we relate the solution of a mathematical programming problem involving second order invex function with the solution of second order variational-like inequality problem. Also, we provide examples to verify our results. © 2015, Springer-Verlag Italia.
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页码：123 / 137
页数：14
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