Abstract:

By applying the technique of continuous partition of unity, some new co-
incidence theorems for a better admissible mapping and a family of set-valued mappings
defined on the product G-convex spaces are proved. Theorems of this paper improve, unify
and generalize many important coincidence theorems and collectively fixed point theorems
in recent literature.

Key words: Better admissible mapping, coincidence theorem;collectively fixed point;G-convex space