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On nonlinear multiple objective fractional programming involving semilocally type-I univex functions

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Abstract

The aim of this paper is to obtain sufficient optimality conditions for a nonlinear multiple objective fractional programming problem involving semilocally type-I univex and related functions. Furthermore, a general dual is formulated and duality results are proved under the assumptions of generalized semilocally type-I univex and related functions. Our results generalize several known results in the literature.

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Author notes

  1. S. K. Mishra

    Present address: Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, 221005, India

  2. J. S. Rautela

    Present address: Department of Mathematics, Faculty of Applied Science and Humanities, Echelon Institute of Technology, Faridabad, 121001, India

Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, G. B. Pant University of Agriculture and Technology, Pantnagar, India

    S. K. Mishra

  2. Department of Mathematics, Kumaun University, D.S.B. Campus, Nainital, 263002, India

    J. S. Rautela

Authors
  1. S. K. Mishra
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  2. J. S. Rautela
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Correspondence to J. S. Rautela.

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Mishra, S.K., Rautela, J.S. On nonlinear multiple objective fractional programming involving semilocally type-I univex functions. Optim Lett 3, 171–185 (2009). https://doi.org/10.1007/s11590-008-0099-0

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  • DOI: https://doi.org/10.1007/s11590-008-0099-0

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