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- W4290850843 abstract "Abstract There are several classes of decision-making problems that explicitly or implicitly prompt fractional programming problems. Portfolio selection problems, agricultural planning, information transfer, numerical analysis of stochastic processes, and resource allocation problems are just a few examples. The huge number of applications of minimax fractional programming problems inspired us to work on this topic. This paper is concerned with a nondifferentiable minimax fractional programming problem. We study a parametric dual model, corresponding to the primal problem, and derive the sufficient optimality condition for an optimal solution to the considered problem. Further, we obtain the various duality results under ( p, r )- ρ -( η , θ )-invexity assumptions. Also, we identify a function lying exclusively in the class of (−1, 1)- ρ -( η , θ )-invex functions but not in the class of (1, −1)-invex functions and convex function already existing in the literature. We have given a non-trivial model of nondifferentiable minimax problem and obtained its optimal solution using optimality results derived in this paper." @default.
- W4290850843 created "2022-08-12" @default.
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- W4290850843 date "2022-03-01" @default.
- W4290850843 modified "2023-10-05" @default.
- W4290850843 title "Sufficient optimality condition and duality of nondifferentiable minimax ratio constraint problems under (<i>p</i>, <i>r</i>)-<i>ρ</i>-(<i>η</i>, <i>θ</i>)-invexity" @default.
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- W4290850843 doi "https://doi.org/10.2478/candc-2022-0005" @default.
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