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 ...

Recommended by Sehie Park We prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions.

This correspondence justifies the maximum entropy image reconstruction (MEIR) formulation proposed by Zhuang et al. (1987), Manuscript received September 18, 1989; revised June 6, 1990. This work was supported by the K. C. Wong Education Foundation, Hong Kong. X. Zhuang is with the Department of Electrical and Computer Engineering, University of Missouri, Columbia, MO 6521 1 . R. M. Haralick is...

Darbo's fixed point theorem and its generalizations play a crucial role in the existence of solutions in integral equations. Meir-Keeler condensing operators is a generalization of Darbo's fixed point theorem and most of other generalizations are a special case of this result. In recent years, some authors applied these generalizations to solve several special integral equations and some of the...

In years to come, few of us will remember what we were doing on the 6 June 2013, but Jessica Meir will never forget the day when she answered a call and heard Janet Kavandi, Director of Flight Crew Operations at the NASA Johnson Space Center, say, 'Jessica, second time is a charm'. Not only had her life changed forever but also her lifelong dream had finally come true. Kavandi was calling to te...

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 ...

S.Tartakover-Matalon1,5, N.Cherepnin1, M.Kuchuk2, L.Drucker1,4, I.Kenis2, A.Fishman3,4, M.Pomeranz3 and M.Lishner1,2,4 Oncogenetic Laboratory, Department of Medicine, Department of Obstetrics & Gynecology, Meir Medical Centre, Kfar-Saba and Sackler Faculty of Medicine, Tel–Aviv University, Israel To whom corresponding should be addressed at: Oncogenetic Laboratory, Meir Medical Centre, 45 Tsher...

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.