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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 10 > No. 1

 
   

Mixed Vector Equilibrium Problem Involving Multi-Valued Mapping

PP: 203-207
doi:10.18576/amis/100119
Author(s)
Mijanur Rahaman, Adem Kılıçman, Rais Ahmad,
Abstract
In this paper, we consider and study a mixed vector equilibrium problem involving multi-valued mapping in a Hausdorff topological vector space.We prove some existence results for mixed vector equilibrium problem involving multi-valued mapping using KKM theorem, the concept of coercing family for multi-valued mappings and core of a set. The problem of this paper is a combination of a vector equilibrium problem and a vector variational inequality problem and is more general than many existing problems available in the literature.

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