Multivalued \(f\)-weakly Picard mappings on partial metric spaces

Volume 8, Issue 6, pp 1234--1244 http://dx.doi.org/10.22436/jnsa.008.06.30

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Authors

Xianjiu Huang - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China. Yangyang Li - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China. Chuanxi Zhu - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China.

Abstract

In this paper, we introduce the notions of multivalued \(f\)-weak contraction and generalized multivalued \(f\)- weak contraction on partial metric spaces. We obtain some coincidence and fixed point theorems. Our results extend and generalize some well known fixed point theorems on partial metric spaces.

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Keywords

• Partial metric
• common fixed point
• hybrid maps
• weakly Picard operators.

MSC

•  47H10
•  54H25

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