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New concepts of generalized (&#x03C1;,&#x03B8;)-&#x03B7; invex functions for non-differentiable functions and generalized (&#x03C1;,&#x03B8;)-&#x03B7; invariant monotone operators for set-valued mappings are introduced. The relationships between generalized (&#x03C1;,&#x03B8;)-&#x03B7; invexity of functions and generalized (&#x03C1;,&#x03B8;)-&#x03B7; invariant monotonicity of the corresponding Clarke&#39;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))

Generalized Invariant Monotonicity and Generalized Invexity of Nondifferentiable Functions