A FIXED POINT THEOREM FOR CORRESPONDENCES ON CONE METRIC SPACES

作者：Ge, Xun^*

来源：Fixed Point Theory, 2014, 15(1): 79-86.

• Cone metric space
• fixed point
• contractive correspondence
• closed-valued
• correspondence
• contractive orbit

In this paper, we prove that if f is a contractive closed-valued correspondence on a cone metric space (X, d) and there is a contractive orbit {x(n)} for f at xo is an element of X such that both {x(ni)} and {x(ni)+1} converge for some subsequence {x(ni)} of {x(n)}, then f has a fixed point, which generalizes a fixed point theorem for contractive closed-valued correspondences from metric spaces to cone metric spaces.

• 出版日期2014
• 单位苏州大学