乘积FC-空间上的重合点定理

Coincidence Theorems in Product FC-spaces

在FC-空间的乘积空间中引入了较好容许集值映像类,利用连续单位分解定理,在较弱的条件下对涉及较好容许集值映像的集值映像证明了几个重合点定理.这些新的定理把近期文献中相应的重合点定理和不动点定理从G-凸空间推广到了无凸性结构的FC-空间.

Better admissible mappings on the product FC-spaces are introduced. By applying the technique of continuous partition of unity, some new coincidence theorems for a better admissible mapping on the product FC-spaces are proved under much weak as- sumption. These new theorems unify and generalize many important coincidence theorems and fixed point theorems in recent literature.