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Topics in Nonconvex Optimization pp 257–266Cite as

On Efficiency in Nondifferentiable Multiobjective Optimization Involving Pseudo d-Univex Functions; Duality

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Abstract

In this chapter we introduce the concepts of KT-pseudo d-univex-I, KT-pseudo d-univex-II, and FJ-pseudo d-univex-II functions. The main objective of introducing these functions is to establish characterizations for efficient solutions to nondifferentiable multiobjective programming problems. Moreover, characterizations for efficient solutions by Fritz—John optimality conditions are also obtained. Furthermore, the Mond—Weir type dual problem is studied and weak, strong, and converse duality results are established involving the aforementioned class of functions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Applied Sciences and Humanities, Echelon Institute of Technology, 121 002, Faridabad, India

    J. S. Rautela

  2. Department of Mathematics, Faculty of Science, Banaras Hindu University, 221 005, Varanasi, India

    Vinay Singh

Authors
  1. J. S. Rautela
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  2. Vinay Singh
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Correspondence to J. S. Rautela .

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Editors and Affiliations

  1. Faculty of Science, Dept. of Mathematics, Banaras Hindu University, Varanasi, 221005, India

    Shashi Kant Mishra

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Rautela, J.S., Singh, V. (2011). On Efficiency in Nondifferentiable Multiobjective Optimization Involving Pseudo d-Univex Functions; Duality. In: Mishra, S. (eds) Topics in Nonconvex Optimization. Springer Optimization and Its Applications(), vol 50. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9640-4_16

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