Proving  fixed point theorem in a fuzzy metric space is not possible for  Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for  Meir-Keeler contractive mapping. As some pattern we introduce the class of $alphaDelta$-Meir-Keeler contractive and we establish some results of fixed ...

In this work, we define a weaker Meir–Keeler type function ψ : int P ∪ {0} → int P ∪ {0} in a cone metric space, and under this weaker Meir–Keeler type function, we show the common fixed point theorems of four single-valued functions in cone metric spaces. © 2010 Elsevier Ltd. All rights reserved.

Berinde and Borcut [1] introduced the concept of triple fixed point and proof some related fixed point theorem with some applications. The aim of this paper is to extend the result of Berinde and Borcut [1]. Indeed, we introduced the definition of generalized g−Meir-Keeler type contractions and prove some tripled fixed point theorems under a generalized g−Meir-Keeler type contractive condition....

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.

In the current contribution, an appropriate quantity connected to space of all convergent sequences is provided and shown be a measure noncompactness in Banach space. Through application fixed point theorems Darbo Meir–Keeler, this amount used discuss whether solution infinite system fractional Sturm–Liouville operators exists. We offer numerical example as key finding study.

In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f -MK -pair mappings and f -CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfie...

In this paper, we establish the existence of solution for infinite systems differential equations in Banach sequence space n(?), ?p(1 ? p < ?) and c by using Meier-Keeler condensing operators. With help examples illustrate our results spaces. Also validity results, find an approximation a suitable method with high accuracy.

In this paper, we prove some coupled fixed point theorems satisfying a Meir-Keeler type contractive condition for mappings enjoying the mixed monotone property in ordered partial metric spaces.

Introduction/purpose: The aim of this paper is to introduce the notion an interpolative generalised Meir-Keeler contractive condition for a pair self maps in fuzzy metric space, which enlarges, unifies and generalizes contraction only one map. Using this, we establish unique common fixed point theorem two through weak compatibility. article includes example, shows validity our results. Methods:...