Ulam-Hyers Stability Results for Fixed Point Problems via α - ψ -Contractive Mapping in ( b )-Metric Space

Monica-Felicia Bota; Erdal Karapınar; Oana Mleşniţe

doi:10.1155/2013/825293

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI58 > Article

2013 Ulam-Hyers Stability Results for Fixed Point Problems via

\alpha

\psi

-Contractive Mapping in (

b

)-Metric Space

Monica-Felicia Bota, Erdal Karapınar, Oana Mleşniţe

Abstr. Appl. Anal. 2013(SI58): 1-6 (2013). DOI: 10.1155/2013/825293

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Abstract

We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via $\alpha$ - $\psi$ -contractive mapping of type-( $b$ ) in the framework of $b$ -metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).

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Monica-Felicia Bota. Erdal Karapınar. Oana Mleşniţe. "Ulam-Hyers Stability Results for Fixed Point Problems via $\alpha$ - $\psi$ -Contractive Mapping in ( $b$ )-Metric Space." Abstr. Appl. Anal. 2013 (SI58) 1 - 6, 2013. https://doi.org/10.1155/2013/825293