Zeqing Liu
On common fixed point theorems for families of mappings
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 55, 39-48 (2001)

MSC:

47H10 Fixed-point theorems, See also {54H25, 55M20, 58C30}

54H25 Fixed-point and coincidence theorems, See also {47H10,

Abstract: In this paper we prove some common fixed point theorems for
families of mappings on metric spaces which are generalizations of
the results due to Fisher [2,3,4], Kasahara [5], Kim and Leem [6],
Kim, Kim, Leem and Ume [7], Ohta and Nikaido [8], Park and Rhoades
[9,10], Taskovic [12] and others.

Keywords: Common fixed point, fixed point, family of mappings, closed mapping, cluster point, metric space, compact metric space