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    STUDIA MATHEMATICA - Issue no. 2 / 2014  
         
  Article:   ON VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS IN ASPLUND SPACES.

Authors:  .
 
       
         
  Abstract:   In this paper, we consider di fferent kinds of generalized invexity for vector valued functions and a vector optimization problem. Some relations between some vector variational-like inequalities and a vector optimization problem are established using the properties of Mordukhovich limiting subdi fferentials under C -η- strong pseudomonotonicity.

Mathematics Subject Classi cation (2010): 26A51, 26B25, 47N10, 65K10.
Keywords: Vector variational-like inequalities, Vector optimization problem, Mor-dukhovich limiting subdi erentials, Asplund space, C -η- strong pseudomono-tonicity.
 
         
     
         
         
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