Monotonicity and Generalized ρ, θ -η Invexity of Nondifferentiable Functions
نویسندگان
چکیده
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 .
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*Correspondence: [email protected] 1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia 2Permanent address: Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India Full list of author information is available at the end of the article Abstract This paper is devoted to study interval-valued optimization p...
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