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Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions

机译:涉及V型I凸函数的非光滑多目标优化中的最优性和对偶性

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摘要

There is a vital role of convexity in many aspects of mathematical programming including optimality conditions, duality theorems, and alternative theorems, but, due to insufficiency of convexity notion in many mathematical models used in decision science, economics, engineering, and so forth, there has been an increasing interest in relaxing convexity assumptions in connection with sufficiency and duality theorems. One of the most lively
机译:凸性在数学程序设计的许多方面都具有至关重要的作用,包括最优性条件,对偶定理和替代定理,但是由于在决策科学,经济学,工程学等领域使用的许多数学模型中凸性概念的不足人们对与充分性和对偶定理有关的松弛凸假设的兴趣日益浓厚。最活跃的之一

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  • 来源
    《Journal of inequalities and applications》 |2010年第3期|p.16.1-16.14|共14页
  • 作者单位

    Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals,Dhahran 31261, Saudi Arabia,Department of Mathematical Sciences, Florida Institute of Techynology, Melbourne 32901, USA;

    Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals,Dhahran 31261, Saudi Arabia,Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India;

    Department of Mathematics, Faculty of Applied Sciences, Integral University, Lucknow 226026, India;

    Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi 835 215, India;

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