Fixed point theorems for expansive mappings. (English) Zbl 0845.47044

Jachymski, Jacek

Math. Jap. 42, No. 1, 131-136 (1995).

Summary: Fixed point theorems for expansive mappings are given generalizing the recent results of T. L. Hicks and L. M. Saliga [Math. Jap. 38, No. 5, 953-956 (1993; Zbl 0803.47053)], and T. Taniguchi [ibid. 34, No. 1, 139-142 (1989; Zbl 0677.54038)]. A common fixed point theorem for four mappings that are not necessarily compatible is proved, which extends a result of S. M. Kang and B. E. Rhoades [ibid. 37, No. 6, 1053-1059 (1992; Zbl 0767.54037)]. Some examples are presented.

MSC:

47H10	Fixed-point theorems
54H25	Fixed-point and coincidence theorems (topological aspects)

Keywords:

compatible maps; fixed point theorems for expansive mappings

Citations:

Zbl 0803.47053; Zbl 0677.54038; Zbl 0767.54037