Fixed points of generalized $\alpha$-Meir-Keeler type contractions and Meir-Keeler contractions through rational expression in $b$-metric-like spaces

Journal of Linear and Topological Algebra

مقاله 2، دوره 09، شماره 01، خرداد 2020، صفحه 17-34   

نوع مقاله: Research Paper

نویسنده

N. Gholamian^*

Department of Mathematics, Shirvan Branch, Islamic Azad University, Shirvan, Iran

چکیده

In this paper, we first introduce some types of generalized $\alpha$-Meir-Keeler contractions in $b$-metric-like spaces and then we establish some fixed point results for these types of contractions. Also, we present a new fixed point theorem for a Meir-Keeler contraction through rational expression. Finally, we give some examples to illustrate the usability of the obtained results.

کلیدواژه‌ها

$alpha$-admissible؛ fixed point؛ Meir-Keeler contraction؛ $b$-metric-like

مراجع

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