nonexpansive type mapping;
asymptotically regular mapping;
fixed point;
D O I:
10.1023/A:1022473622389
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.