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On Nondifferentiable Multiobjective Programming Involving Type-I ®-Invex Functions |
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PP: 317-331 |
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Author(s) |
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S. K. Mishra,
J. S. Rautela,
R. P. Pant,
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Abstract |
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| The aim of this paper is to study a nondifferentiable multiobjective programming problem
with inequality constraints. In this paper we introduce the concept of type-I ®-
invex, weak strictly pseudo-quasi type-I ®-invex, strong pseudo-quasi type-I ®-invex,
weak quasi-strictly-pseudo type-I ®-invex and weak strictly-pseudo type-I ®-invex
functions. By utilizing these new notions we derive a Fritz John type sufficient optimality
condition and establish Mond-Weir type and general Mond-Weir type duality
results for the nondifferentiable multiobjective programming problem. |
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