ViVi is a Text Editor for Windows/Mac/Linux, which is powerd by Qt and supports vi commands. ※ Although ViVi is a proprietary software, only this version is Open Source and FreeWare.
tvim is a gui wrapper around gvim's remote interface, it does two things 1). lets you open files in any already running copy of gvim (lets you select which). 2). opens the files in tabs TVim is released under the GPL version 3