Existence of Solutions to Split Variational Inequality Problems and Split Minimization Problems in Banach Spaces
Year: 2015
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Li, Jinlu
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2172893700