Results 261 to 270 of about 2,117,198 (290)
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Fixed point theorem for a generalized contractive fuzzy mapping
Journal of Intelligent & Fuzzy Systems, 2014Existence of a fixed point for a fuzzy mapping satisfying a generalized contractive condition is proved. Our result, supported with an example, provide extension as well as substantial improvements of several well known results in the existing literature.
Mujahid Abbas, Duran Türkoglu
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Generalized contractions for a sequence of multi-valued mappings
Journal of Fixed Point Theory and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hosseini, Boshra +1 more
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Generalized φ-contraction for a pair of mappings on cone metric spaces
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdolrahman Razani +2 more
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Some generalizations of the contraction mapping theorem
Rendiconti del Circolo Matematico di Palermo, 1972The Contraction Mapping Theorem is extended to the class of completea-metric spaces. Also, results of Edelstein on local contractions are generalized.
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Generalization of istratescu's theorem on contractive mappings in metric spaces
Journal of Soviet Mathematics, 1982In this paper we consider mappings T:X→X of metric spaces, satisfying the condition: , where ω is some right semicontinuous function.
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Generalizations to the Converse of Contraction Mapping Principle
1965Let X be a non-empty abstract set and S be a commutative semi-group of operators defined on X into itself. S is called a contractive semi-group on X if there exists a metric ρ on X such that for each TεS, T≠I, ρ(Tx,Ty)≤λ(T)ρ(x,y) for all x, yεX, where 0≤λ(T)<1. We find sufficient conditions on S in order that S be contractive on X. In the case when
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Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 1998The contraction coefficient of stochastic mappings between full matrix algebras is introduced with respect to a generalized relative entropy labeled by an operator convex function g. It is proved that the coefficient is actually independent of g, in particular, it can be most conveniently computed by means of the square function.
Petz, Dénes, Ruskai, Mary Beth
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Generalized I-Contractions and Pointwise R-Subweakly Commuting Maps
Acta Mathematica Sinica, English Series, 2007The existence of common fixed points and invariant approximations for pointwise \(R\)-subweakly commuting and compatible maps is established. The first main result (Theorem 2.1) concerns the uniqueness of a common fixed point of maps \(I\) and \(T\) under a suitably generalized \(I\)-contraction property for \(T\). Two further results (Theorems 2.3 and
O'Regan, D., Hussain, N.
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Some generalized rational contractive mappings with applications
Journal of Applied AnalysisAbstract In this paper some enriched rational type contractive mappings are introduced and related fixed point theorems are proved by using Krasnselskii iteration procedure. Some examples are cited in support of our theorems to show that our theorems are more generalized.
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