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Weaker forms of commuting maps and existence of fixed points. (English) Zbl 1203.54048

Summary: Weak commutativity of a pair of maps was introduced by S.Sessa [Publ.Inst.Math., Nouv.Sér.32, No.46, 149–153 (1982; Zbl 0523.54030)] in fixed point considerations. Thereafter a number of generalizations of this notion have been obtained. The purpose of this paper is to present a brief development of weaker forms of commuting maps, and to obtain two fixed point theorems for noncommuting and noncontinuous maps on noncomplete metric spaces.

MSC:

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

Citations:

Zbl 0523.54030
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