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Mixed type duality for a programming problem containing support function

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Abstract

A mixed type dual to a programming problem containing support functions in a objective as well as constraint functions is formulated and various duality results are validated under generalized convexity and invexity conditions. Several known results are deducted as special cases.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of technology, 190006, Srinagar, Kashmir, India

    I. Husain & Z. Jabeen

Authors
  1. I. Husain
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  2. Z. Jabeen
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Correspondence to I. Husain.

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I. Husain is a professor in the department of Mathematics at national Institute of Technology (formerly Regional Engineering College) Srinagar-190006, Kashmir, India. He received his M.A. in Mathematics from Banaras Hindu University. Varanasi, India and Ph. D from Indian Institute of Technology, Delhi. His major areas of research interests are Mathematical programming including continuous-time programming, generalizations of convexity and optimization (optimal criteria, duality, etc). He is author and co-author of numerous research papers on previous mentioned research field, published in journals of international repute. He has refereed serval research articles for possible publication in international journals. He is a life-member of Operational Society of India.

Z. Jabeen is a lecturer in the Department of Mathematics, National Institute of technology, Srinagar-190006, Kashmir, India. She obtained her M. Sc. in Statistics from the University of Kashmir, Srinagar, Kashmir and is pursuing a Ph. D program in Operational Research.

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Husain, I., Jabeen, Z. Mixed type duality for a programming problem containing support function. JAMC 15, 211–225 (2004). https://doi.org/10.1007/BF02935756

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  • DOI: https://doi.org/10.1007/BF02935756

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