Fixed Point Theorems In Cone Banach Spaces

This paper has been based on the results of mathematic authors at home and abroad,and originate from theory and properties in Banach space.By giving compression conditions and constructing the iteration sequence,ulteriorly,prov-ing the convergence of the iterative sequence.Thus,the kind of operator exists the only fixed point.The main results of this thesis are:1.Proving the properties of some iterative sequence in cone Banach space are studied,Which serving the fixed point existence of one kind of operator.2.In cone Banach space,introducing and proving the theorem of coincidence point,and some new fixed point theorems are obtained as a consequence of this coincidence theorem.3.Introducing some new contractive conditions in cone Banach space,and under suitable assumptions,we proved the fixed point of single mapping and the common fixed point of series self-mappings.The results extend the known achievements.