Generalized (ρ,θ)-η Invariant Monotonicity and Generalized (ρ,θ)-η Invexity of Nondifferentiable Functions
Caiping Liu, Xinmin Yang
Journal of Inequalities and Applications · 2009
doi:10.1155/2009/393940 (opens in a new tab)
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Abstract
New concepts of generalized (ρ,θ)-η invex functions for non-differentiable functions and generalized (ρ,θ)-η invariant monotone operators for set-valued mappings are introduced. The relationships between generalized (ρ,θ)-η invexity of functions and generalized (ρ,θ)-η invariant monotonicity of the corresponding Clarke's subdifferentials are studied. Some of our results are extension and improvement of some results obtained in (Jabarootion and Zafarani (2006); Behera et al. (2008)).
Abstract licence: CC BY-NC-ND
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