Some new common fixed point theorems under strict contractive conditions

By M. Aamri, D. Moutawakil. 2002

723 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/22cb73ca672b640643f10ed7b082fc1c04ace09b

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In Geometry and Topology

Citations in the corpus

Common fixed points for R-weakly commuting in fuzzy metric spaces (2012, background): “Definition 2.12 (Aamri and El Moutawakil [1]) Let (X, d) be a metric space and f, g : X → X .”
An Implicit Function Implies Several Contraction Conditions (2024, background): “Motivated by the notions of compatibility and noncompatibility, Aamri and Moutawakil [1] defined the generalization of these notions as follows.”
A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type (2006, background): “On the other hand, Aamri and El Moutawakil [2] have established some new common fixed point theorems under strict contractive conditions on a metric space for mappings satisfying property (E.”
Jungck’s common fixed point theorem and E.A property (2008, background): “[ 14 ]) buys containment of ranges without any continuity requirement besides limiting commutativity requirement to the points of coincidence.”
Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions (2010, background): “Recently, Aamri and El Moutawakil [5] introduced the (E.”
Common fixed point theorems for contractive maps (2006, background): “However, the study of common fixed points of noncompatible maps is equally interesting and Pant [5, 6, 7, 8], Aamri and Moutawakil [1] and others have recently initiated work along these lines.”
Common Fixed Points Under Contractive Conditions In Symmetric Spaces (2003, background): “These selfmappings are assumed to satisfy a new property, introduced recently in [1] on a metric space, which generalize the notion of noncompatible maps in the setting of a symmetric space.”
COMMON FIXED POINT THEOREMS UNDER STRICT CONTRACTIVE CONDITIONS IN MENGER SPACES (2009, background): “Recently, Aamri and Moutawakil [1] defined a new property for pair of mappings, i.”
FIXED POINT THEOREMS FOR OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS (2006, background): “Some papers in which this property have appeared are [1], [12], [13], and [18].”
Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type (2011, background): “Aamri, M, ElMoutawakil, D: Some new common fixed point theorems under strict contractive conditions.”
A common fixed point theorem using implicit relation and property (E.A) in metric spaces (2007, methodology): “Therefore our main Theorem 4.1 extends Theorem B of Aamri and Moutawakil, since they considered ψ to be nondecreasing and such that 0 < ψ(t) < t,t > 0, which clearly implies ψ(0) = 0.”