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Periodic and fixed point theorems in a quasi-metric space
Published online by Cambridge University Press: 09 April 2009
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 definition (C) below. Also a common fixed point theorem for a pair of maps which satisfy a contractive condition (D) below is established.
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- Research Article
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- Copyright © Australian Mathematical Society 1993
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