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   Nonsmooth Pseudolinearity  
   
نویسنده Rezaei Mahboubeh ,Gazor Hamid
منبع journal of mathematical extension - 2012 - دوره : 6 - شماره : 4 - صفحه:63 -77
چکیده    In this paper, we introduce the notion of generalized pseudolinearity for nondifferentiable and nonconvex but locally lipschitz functions defined on a banach space. we present some characterizations of generalized pseudolinear functions. the characterizations of the solution set of a convex and nondifferentiable but generalized pseudolinear program are obtained. the results of this paper extend various results for pseudolinear functions, pseudoinvex functions and pseudolinear functions, and also for pseudoinvex programs, pseudolinear programs and pseudolinear programs.
کلیدواژه Invex sets ,pseudoinvexity ,pseudolinearity ,limiting subdifferential ,solution sets of a program
آدرس islamic azad university, Department of Mathematics, ایران, islamic azad university, Department of Mathematics, ایران
پست الکترونیکی h.gazor@iaumajlesi.ac.ir
 
     
   
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