Generalized (ρ, θ)-η Invariant Monotonicity and Generalized (ρ, θ)-η Invexity of Nondifferentiable Functions. (18th February 2009)

• Record Type: Journal Article
• Authors: Liu, Caiping; Yang, Xinmin
• Other Names: Chidume Charles E. Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2009(2009)
• Publication Date: 2009-02-18
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2009/393940
• Languages: English
• ISSNs: 1029-242X

Abstract

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)).