NOTES ON BROWDER'S AND HALPERN'S METHODS FOR NONEXPANSIVE MAPPINGS

作者：Cui Yan Lan^*; Liu Xia

来源：Fixed Point Theory, 2009, 10(1): 89-98.

• Projection
• nonexpansive mapping
• fixed point
• minimum-norm
• Browder's method
• Halpern's method
• convex minimization

We show that a projection applied to Browder's and Halpern's methods can find the minimum-norm fixed point of a nonexpansive mapping. This supplements the results in existing literature on iterative methods for finding fixed points of nonexpansive mappings. An application to finding the minimum-norm solution of a convex minimization problem is included.

• 出版日期2009
• 单位延安大学