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Higher Order Hybrid Invexity Frameworks and Discrete Multiobjective Fractional Programming Problems

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Mathematics and Computing

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 139))

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Abstract

Based on the higher order hybrid \((\varPhi ,\rho ,\eta ,\zeta ,\theta )-\)invexities, first some parametrically generalized sufficient efficiency conditions for multiobjective fractional programming are developed and then efficient solutions to the multiobjective fractional programming problems are established. Furthermore, the obtained results on sufficient efficiency conditions are generalized to the case of the \(\varepsilon -\)efficient solutions. The results thus obtained generalize and unify a wide spectrum of investigations on the theory and applications to the multiobjective fractional programming based on the hybrid \((\varPhi ,\rho ,\eta ,\zeta ,\theta )-\)invexity frameworks.

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Authors and Affiliations

  1. Department of Mathematics, Texas State University, San Marcos, TX, 78666, USA

    Ram U. Verma

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  1. Ram U. Verma
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Correspondence to Ram U. Verma .

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Editors and Affiliations

  1. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  2. Indian Institute of Technology Kharagpur Dept. Computer Science & Engineering, Kharagpur, West Bengal, India

    Dipanwita Roy Chowdhury

  3. Dept of Computer Science & Engineering, Haldia Institute of Technology, Haldia, West Bengal, India

    Debasis Giri

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Verma, R.U. (2015). Higher Order Hybrid Invexity Frameworks and Discrete Multiobjective Fractional Programming Problems. In: Mohapatra, R., Chowdhury, D., Giri, D. (eds) Mathematics and Computing. Springer Proceedings in Mathematics & Statistics, vol 139. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2452-5_2

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