Fixed point theorems for cyclic mappings in quasi-partial b-metric spaces

Volume 9, Issue 5, pp 2175--2189 http://dx.doi.org/10.22436/jnsa.009.05.22

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Authors

Xiaoming Fan - School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China.

Abstract

In this paper, we introduce the concepts of qpb-cyclic-Banach contraction mapping, qpb-cyclic-Kannan mapping and qpb-cyclic \(\beta\)-quasi-contraction mapping and establish the existence and uniqueness of fixed point theorems for these mappings in quasi-partial b-metric spaces. Some examples are presented to validate our results.

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Keywords

• Quasi-partial b-metric space
• fixed point theorems
• qpb-cyclic-Banach contraction mapping
• qpb-cyclic-Kannan mapping
• qpb-cyclic \(\beta\)-quasi-contraction mapping

MSC

•  47H09
•  47H10

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