Title of article :
Fixed Point Theorems in midconvex subgroups of a Hilbert group
Author/Authors :
Pourmoslemi ، Alireza Department of Mathematics - Payame Noor University , Adib ، Marjan Department of Mathematics - Payame Noor University , Nazari ، Tahere Department of Mathematics - Payame Noor University
Abstract :
In this paper, after introducing inner products on groups, first, we define a Hilbert group using the inner products and in the last section, we present some fixed points for closed and midconvex subgroups of such Hilbert groups.
Keywords :
Fixed Points , Hilbert groups , Normed groups , Midconvex subgroups
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)