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Periodic and fixed point theorems in a quasi-metric space

Part of: Nonlinear operators and their properties Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

Ljubomir Ćirić
Ljubomir Ćirić
Affiliation:
Matematički InstitutKneza Mihaila 35 11000 Beograd, Yugoslavia
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Abstract

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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 definition (C) below. Also a common fixed point theorem for a pair of maps which satisfy a contractive condition (D) below is established.

MSC classification

Secondary: 54H25: Fixed-point and coincidence theorems 47H10: Fixed-point theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 1 , February 1993 , pp. 80 - 85
Copyright
Copyright © Australian Mathematical Society 1993

References

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