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Common fixed points of conditionally commuting mappings satisfying weaker continuity conditions

Bisht R K

Fasciculi Mathematici

2012

Nr 49

33--41

The aim of the present paper is to obtain some new common fixed point theorems for a pair of Lipschitzian type selfmappings satisfying a minimal commutativity and weaker continuity conditions. In the setting of our results we establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points. Our results generalize several fixed point theorems.

More maps for which F(T)=F(Tn)

Jeong G., Rhoades B.

Demonstratio Mathematica

2007

Vol. 40, nr 3

671-680

We continue our investigation of situations in which the fixed point sets for maps and their iterates are the same.

On common fixed points of commuting triangular maps

Grinc M.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 1

61-67

We give some conditions under which commuting triangular maps have a common fixed point. Some of them provide analogons of known results for maps of a real interval.