2015/11/22 by Jinlu Li, Li, Jinlu
Computer Science · Engineering · #49J20 #49J40 #49J52 #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis #Topology Optimization in Engineering
paper · pdf · doi:10.48550/arxiv.1511.07068
openalex publication_date 2015/11/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we extend the concept of split variational inequality problems from Hilbert spaces to Banach spaces. Then we apply the Fan-KKM theorem to prove the existence of solutions to some split variational inequality problems and some split minimization problems in Banach spaces. We also apply fixed point theorems on Chain complete posets to show the solvability of some split variational inequality problems in partially ordered Banach space.