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

We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via α-ψ-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 Same...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2013; pp. 266 - 271-1127
Main Authors Bota, Monica-Felicia, Karapinar, Erdal, Mlesnite, Oana
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 01.01.2013
Hindawi Publishing Corporation
Subjects
Fixed points (mathematics)
Mapping
Stability
Theorems
Uniqueness
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Summary:We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via α-ψ-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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ISSN:1085-3375
1687-0409
DOI:10.1155/2013/825293