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

Subject Areas : Functional analysis

N. Gholamian ¹

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

Received: 2019-08-03 Accepted : 2019-12-28 Published : 2020-03-01

Keywords: fixed point, Meir-Keeler contraction, $alpha$-admissible, $b$-metric-like,

Abstract :

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.

References:

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