ZEROS OF FUNCTIONALS ON PARTIAL METRIC SPACES WITH APPLICATION

Tóm tắt

We prove a local version of a result obtained recently by Luong anh Hoc on the existence of zeros of functionals on partial metric spaces and apply it to the study of the preservation of zeros of a family of functionals. As a corollary, we derive a preservation result for fixed points of a family of multi-valued mappings in partial metric spaces.