[PDF] Top 20 The cycle contraction mapping theorem
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The cycle contraction mapping theorem
... T\e Cycle Contraction Mapping Theorem is both an extension of Wadge's cycle sum theorem for Kahn data flow and a generalisation of Banach's contraction mapping theorem to a class of quas[r] ... See full document
18
A contraction theorem in fuzzy metric spaces
... Banach contraction theorem whenever fuzzy metric space was considered in the sense of Kramosil and Mich´alek and was complete in Grabiec’s ...point theorem for a sequence of mapping in a fuzzy ... See full document
9
Further generalized contraction mapping principle and best proximity theorem in metric spaces
... generalized contraction mapping ...generalized contraction mapping principle, the authors prove a further generalized best proximity ... See full document
13
Positive Periodic Solutions in Shifts Delta(+/-) for a Neutral Dynamic Equation on Time Scales
... point theorem and contraction mapping principle, sufficient conditions are established for the existence of positive periodic solutions in shifts δ ± for a neutral functional dynamic equation on time ... See full document
6
Best proximity point theorems for cyclic generalized proximal contractions
... proximal contraction mapping of the second kind, then T has a best proximity point ([], Theorem ...proximal contraction mapping of the first kind, as well as of the second kind, then T ... See full document
19
Higher-order Lipschitz mappings
... point theorem for higher-order contraction mappings; thereafter, we provide a re-metrisation argument that relates higher-order Lipschitz mappings to (first-order) Lipschitz ...Lipschitz mapping into ... See full document
18
Quasi-contractions restricted with linear bounded mappings in cone metric spaces
... In this paper, we introduce the notion of a quasi-contraction restricted with a linear bounded mapping in cone metric spaces, and prove a unique fixed point theorem for this quasi-contraction ... See full document
10
Common fixed point theorem for generalized T-Hardy-Rogers contraction mapping in a cone metric space
... classic contraction mapping principle of Banach is a fundamental result in fixed point ...Banach’s theorem by considering contractive mappings on many different metric ... See full document
16
Existence of coincidence point and common fixed point for non commuting almost contraction mapping in cone b metric spaces
... A mapping satisfying ...weak contraction mapping which is more general than a contraction ...almost contraction mapping. The Zamfirescu fixed point theorem has been ... See full document
11
Coincidence point theorems for weak graph preserving multi-valued mapping
... classical contraction mapping principle of Banach states that if (X, d) is a complete metric space and f : X → X is a contraction mapping, ...point theorem plays an important role in ... See full document
14
Fixed Points Results via Iterates of Four Maps in TVS-valued Cone Metric Spaces
... Banach contraction theorem, which states that if X is a complete metric space and T a single valued contractive self mapping on then T has a unique fixed point in This theorem looks simple but ... See full document
5
Fixed point theorems for weak S-contractions in partially ordered 2-metric spaces
... Banach’s contraction theorem is one of the significant results of nonlinear analysis, which also became the origin of understanding iterative and dynamical ...this theorem. A mapping T : X → X ... See full document
14
Several fixed point theorems concerning -distance
... point theorem is not an extension of the Banach contraction ...Kannan mapping has a fixed point, while there exists a metric space X such that X is not complete and every contractive mapping ... See full document
15
Spreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear term
... In this paper, we study the degenerate logistic equation with a free boundary and general logistic term in higher space dimensions and heterogeneous environment, which is used to describe the spreading of a new or ... See full document
17
An extension of the contraction mapping principle to Lipschitzian mappings
... In the sequel we shall denote by Fix(T ) the set of fixed points of T. The study of fixed points of contractive and expansive mappings still attracts the attention of numerous re- searchers investigating extensions and ... See full document
7
Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces
... Banach’s contraction mapping principle [ ] has been the source of metric fixed point theory with its wide applicability in different branches of ...contractive mapping to prove the fixed point ...for ... See full document
8
UNIQUE FIXED POINT THEOREMS IN COMPLETE METRIC SPACE
... The French Mathematician H. Poincare [1854-1912] first recognized the importance of the study of the nonlinear problems. Since then several methods have been developed for proving the fixed point by generalizing the ... See full document
6
Approximation Method for Hybrid Functional Differential Equations
... Banach contraction mapping principle is the only fixed point theorem in the nonlinear analysis which provides a useful method for approximating a unique solution for the initial and boundary value ... See full document
5
G Contractive Sequential Composite Mapping Theorem in Banach or Probabilistic Banach Space and Application to Prey Predator System and A & H Stock Prices
... (8). Theorem 2.6. Any sequential composite iterative g- contraction mapping of a complete nonempty metric space M into M has a unique fixed point in ... See full document
6
Optimal solutions for nonlinear proximal CN contraction mapping in metric space
... point theorem concerns the global minimum of the real valued function x → d(x, Tx), that is, an indicator of the error involved for an approximate solution of the equation Tx = x, by complying with the condition ... See full document
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