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Correction to: Some generalizations for \((\alpha-\psi,\phi)\)-contractions in b-metric-like spaces and an application
Fixed Point Theory and Applications Pub Date : 2018-01-25 , DOI: 10.1186/s13663-018-0629-0
Kastriot Zoto , B. E. Rhoades , Stojan Radenović

In the publication of this article [Fixed Point Theory Appl. 2017:26, 2017], there is an error in Section 3. The error: Corollary 3.22 Let $( X,\sigma_{b} ) $ be a complete b-metric-like space with parameter $s \ge 1$ , and let f, g be two self-maps of X with $\psi \in \Psi $ , $\varphi \in \Phi $ satisfying the condition $$ \psi \bigl( \alpha_{qs^{p}}\sigma_{b} ( fx,fy ) \bigr) \le \lambda \psi \bigl( M ( x,y ) \bigr) $$ for all $x,y \in X$ , where $M ( x,y ) $ is defined as in (3.15) and $q > 1$ . Then f and g have a unique common fixed point in X. Should instead read: Corollary 3.22 Let $( X,\sigma_{b} ) $ be a complete b-metric-like space with parameter $s \ge 1$ , $f:X \to X$ be a self-mapping, and $\alpha :X \times X \to \mathopen[ 0,\infty \mathclose) $ . Suppose that the following conditions are satisfied: Then f has a fixed point $x \in X$ . Moreover, f has a unique fixed point if property $U_{qs^{p}}$ is satisfied. This has now been included in this erratum.

中文翻译:

更正为:类似于b的度量空间中\((\ alpha- \ psi,\ phi)\)-收缩的一些推广及其应用

在本文的发布中[固定点理论应用 2017:26,2017],第3节中有错误。错误:推论3.22假设$(X,\ sigma_ {b})$是一个具有参数$ s \ ge 1 $的完整b度量空间,令f,g是X的两个自映射,其中$ \ psi \ in \ Psi $,$ \ varphi \ in \ Phi $满足条件$$ \ psi \ bigl(\ alpha_ {qs ^ {p}} \ sigma_ {b}(fx,fy)\ bigr)\ le \ lambda \ psi \ bigl(M(x,y)\ bigr)$$ $ x,y \ in X $,其中$ M(x,y )$在(3.15)中定义,并且$ q> 1 $。然后f和g在X中具有唯一的公共不动点。应改为:推论3.22令$(X,\ sigma_ {b})$是具有参数$ s \ ge 1 $,$的完整b度量空间。 f:X \ to X $是一个自映射,$ \ alpha:X \ times X \ to \ mathopen [0,\ infty \ mathclose)$。假设满足以下条件:那么f在X $中有一个固定点$ x \。此外,如果满足属性$ U_ {qs ^ {p}} $,则f具有唯一的固定点。现在已将此错误包括在内。
更新日期:2018-01-25
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