Coincidences and Fixed Points of New Meir-keeler Type Contractions and Applications
نویسندگان
چکیده
The Meir-Keeler contraction, an important generalization of the classical Banach contraction has received enormous attention during the last four decades. In this paper, we present a review of Meir-Keeler type fixed point theorems and obtain some results using general Meir-Keeler type conditions for a sequence of maps in a metric space. Further, a recent result of Meir-Keeler type common fixed point theorem due to M. Kikkawa and T. Suzuki is generalized under tight minimal conditions. Applications regarding the existence of common solutions of certain functional equations are also discussed.
منابع مشابه
Fixed points of generalized $alpha$-Meir-Keeler type contractions and Meir-Keeler contractions through rational expression in $b$-metric-like spaces
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.
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