Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions
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We study a nonlinear multiple objective fractional programming with inequality constraints where each component of functions occurring in the problem is considered semidifferentiable along its own direction instead of the same direction. New Fritz John type necessary and Karush-Kuhn-Tucker type necessary and sufficient efficiency conditions are obtained for a feasible point to be weakly efficient or efficient. Furthermore, a general Mond-Weir dual is formulated and weak and strong duality results are proved using concepts of generalized semilocally V-type I-preinvex functions. This contribution extends earlier results of Preda (2003), Mishra et al. (2005), Niculescu (2007), and Mishra and Rautela (2009), and generalizes results obtained in the literature on this topic.
- University of Béjaïa Algeria
- Banaras Hindu University India
Multiobjective programming, Quantum mechanics, Multi-Objective Transportation Problem Optimization, Engineering, Nonlinear programming, QA1-939, FOS: Mathematics, Fractional programming, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Biology, Multi-objective and goal programming, Numerical Analysis, Nonlinear Programming, Numerical Optimization Techniques, Semidefinite Programming, Ecology, Multi-Objective Optimization, Physics, Mathematical optimization, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Applied mathematics, Multi-objective optimization, Computational Theory and Mathematics, Control and Systems Engineering, Duality (order theory), FOS: Biological sciences, Computer Science, Physical Sciences, Nonlinear system, Linear Fractional Programming, Type (biology), Mathematics, Mixed-Integer Nonlinear Programs
Multiobjective programming, Quantum mechanics, Multi-Objective Transportation Problem Optimization, Engineering, Nonlinear programming, QA1-939, FOS: Mathematics, Fractional programming, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Biology, Multi-objective and goal programming, Numerical Analysis, Nonlinear Programming, Numerical Optimization Techniques, Semidefinite Programming, Ecology, Multi-Objective Optimization, Physics, Mathematical optimization, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Applied mathematics, Multi-objective optimization, Computational Theory and Mathematics, Control and Systems Engineering, Duality (order theory), FOS: Biological sciences, Computer Science, Physical Sciences, Nonlinear system, Linear Fractional Programming, Type (biology), Mathematics, Mixed-Integer Nonlinear Programs
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