Study on Generalized Univexity and Its Application in Optimization

Sanjaya Kumar Panda

Abstract


In this paper, a study is made on classical univex sets, univex function, generalized univex sets, and generalized univex function. These functions unity the concepts of convexity, B-vexity, invexity and B-invexity. Some of their properties are studied and proved them. Some applications in non linear programming are also discussed. Optimality conditions and duality results are also established. In addition to this, this work also describes the comparison between some non-univex function with their univex counter parts, as well as the relationships among this function and their applications to problem solving.


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DOI: https://doi.org/10.11591/APTIKOM.J.CSIT.168

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