Fixed Point Theory for Cyclic Generalized Weak ϕ‐Contraction on Partial Metric Spaces
Author(s) -
Erdal Karapınar,
İlker S. Yüce
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/491542
Subject(s) - mathematics , metric space , contraction (grammar) , fixed point theorem , fixed point , contraction mapping , pure mathematics , fixed point property , complete metric space , mathematical analysis , discrete mathematics , combinatorics , medicine
A new fixed point theorem is obtained for the class of cyclic weak phi-contractions on partially metric spaces. It is proved that a self-mapping T on a complete partial metric space X has a fixed point if it satisfies the cyclic weak phi-contraction principle.
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