6533b7d2fe1ef96bd125e01c

RESEARCH PRODUCT

Fixed Points for Weakα-ψ-Contractions in Partial Metric Spaces

Francesca VetroPoom KumamCalogero Vetro

subject

Discrete mathematicsClass (set theory)Metric spacePure mathematicsApplied MathematicsInjective metric spaceMetric mapProduct metricFixed pointAnalysisMathematicsIntrinsic metricConvex metric space

description

Recently, Samet et al. (2012) introduced the notion ofα-ψ-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notion of weakα-ψ-contractive mappings and give fixed point results for this class of mappings in the setting of partial metric spaces. Also, we deduce fixed point results in ordered partial metric spaces. Our results extend and generalize the results of Samet et al.

https://doi.org/10.1155/2013/986028