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Saddle Point Criteria in Multiobjective Fractional Programming Involving Exponential Invexity

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Abstract

Consider a system of nondifferentiable multiobjective nonlinear fractional programming problem involving exponential \((p,\,r)\)-invex functions with respect to \(\eta .\) A new concept of saddle point for a mixed Lagrange function is introduced. We establish the equivalence between the saddle point and an efficient solution of the minimization multiobjective fractional problem involving exponential \((p,\,r)\)-invexity assumptions.

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Authors and Affiliations

  1. Chung-Jen Junior College of Nursing, Health Sciences and Management, Chia-Yi, Taiwan

    Shun-Chin Ho

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  1. Shun-Chin Ho
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Correspondence to Shun-Chin Ho.

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Communicated by Anton Abdulbasah Kamil.

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Ho, SC. Saddle Point Criteria in Multiobjective Fractional Programming Involving Exponential Invexity. Bull. Malays. Math. Sci. Soc. 41, 1923–1934 (2018). https://doi.org/10.1007/s40840-016-0433-0

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  • DOI: https://doi.org/10.1007/s40840-016-0433-0

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