On second order duality of minimax fractional programming with square root term involving generalized B-(p, r)-invex functions

Sonali (), N. Kailey () and V. Sharma ()
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Sonali: Thapar University
N. Kailey: Thapar University
V. Sharma: Thapar University

Annals of Operations Research, 2016, vol. 244, issue 2, No 16, 603-617

Abstract: Abstract The advantage of second-order duality is that if a feasible point of the primal is given and first-order duality conditions are not applicable (infeasible), then we may use second-order duality to provide a lower bound for the value of primal problem. Consequently, it is quite interesting to discuss the duality results for the case of second order. Thus, we focus our study on a discussion of duality relationships of a minimax fractional programming problem under the assumptions of second order B-(p, r)-invexity. Weak, strong and strict converse duality theorems are established in order to relate the primal and dual problems under the assumptions. An example of a non trivial function has been given to show the existence of second order B-(p, r)-invex functions.

Keywords: Minimax programming; Fractional programming; Nondifferentiable programming; Second-order duality; B- $$(p; r)$$ ( p; r ) -invexity (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10479-016-2147-y

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