J Austral Math Soc Ser A 54 pp80--85, 1993.

Periodic and Fixed Point Theorems in a Quasi-Metric Space

Ljubomir Ciric

Abstract

General periodic and fixed point theorems are proved for a class of self maps of a quasi-metric space which satisfy the contractive definition (A) below. Two examples are presented to show that the class of mappings which satisfy (A) is indeed wider than a class of selfmaps which satisfy Caristi's contractive condition (C) below. Also a common fixed point theorem for a pair of maps which satisfy a contractive condition (D) below is established.

1991 AMS Subject Classification: 54H25, 47H10

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Authors

Ljubomir Ciric

Matematicki Institut, Kneza Mihaila 35, 11000 Beograd, Yugoslavia.