Dislocated quasi-b-metric spaces and fixed point theorems for cyclic weakly contractions

Volume 9, Issue 5, pp 2779--2788 http://dx.doi.org/10.22436/jnsa.009.05.73

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Authors

Cholatis Suanoom - Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand. Chakkrid Klin-eam - Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand. - Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok, 65000, Thailand. Suthep Suantai - Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand.

Abstract

In this paper, we introduce the notions of type dqb-cyclic-weak Banach contraction, dqb-cyclic-\(\phi\)- contraction and derive the existence of fixed point theorems on dislocated quasi-b-metric spaces. Our main theorem extends and unifies existing results in the recent literature.

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Keywords

• Fixed points
• dqb-cyclic-\(\phi\)-contraction
• dislocated quasi-b-metric spaces
• dqb-converges sequence theorems
• dqb-Cauchy sequence theorems.

MSC

•  47H05
•  47H10
•  47J25

References

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