Results 11 to 20 of about 16,666 (188)
Relation-Theoretic Contraction Principle In Metric Spaces Using Multiplicative Contraction
Ratio Mathematica, 2023 Alam and Imdad have presented a novel application of the Banach contraction principle on a complete metric spaces with a binary relation. We have extended the concept of binary relation with the multiplicative contraction in a complete metric spaces.
Radha Yadav, Balbir Singh
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Even Continuity and the Banach Contraction Principle [PDF]
Proceedings of the American Mathematical Society, 1978 In 1967, Philip R. Meyers established a nice converse to the Banach Contraction Mapping Theorem. We provide a counterexample to one of his corollaries and show that if X is a metrizable topological space, f a continuous self-map on X such that: (a)f has a fixed point p which has a compact neighborhood; (b) f
Solomon, J. L., Janos, Ludvik
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Some fixed point results in complete generalized metric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2018 The Banach contraction principle is the most important result. This principle has many applications and some authors was interested in this principle in various metric spaces as Brianciari.
S.M. Sangurlu, D. Turkoglu
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On the existence of solutions for a higher order differential inclusion without convexity [PDF]
, 2007 We prove a Filippov type existence theorem for solutions of a higher order differential inclusion in Banach spaces with nonconvex valued right hand side by applying the contraction principle in the space of the derivatives of solutions instead of the ...
Cernea, A.
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A unified theory of cone metric spaces and its applications to the fixed point theory [PDF]
, 2011 In this paper we develop a unified theory for cone metric spaces over a solid vector space. As an application of the new theory we present full statements of the iterated contraction principle and the Banach contraction principle in cone metric spaces ...
Proinov, Petko D.
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An application of Ramsey’s Theorem to the Banach Contraction Principle [PDF]
Proceedings of the American Mathematical Society, 2001 One of the most fundamental fixed-point theorems is Banach’s Contraction Principle, of which the following conjecture is a generalization. Generalized Banach Contraction Conjecture (GBCC). Let
Merryfield, James +2 more
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Nonlinear Analysis, 2023 In a recent paper, Khojasteh et al. presented a new collection of simulation functions, said Z-contraction. This form of contraction generalizes the Banach contraction and makes different types of nonlinear contractions.
Parvaneh Lo'Lo' +2 more
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Projective metrics and contraction principles for complex cones [PDF]
, 2008 In this article, we consider linearly convex complex cones in complex Banach spaces and we define a new projective metric on these cones. Compared to the hyperbolic gauge of Rugh, it has the advantage of being explicit, and easier to estimate.
Dubois, Loic
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Advances in Difference Equations, 2018 In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone ...
Peiguo Zhang, Xinan Hao
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Boundary controllability of impulsive nonlinear fractional delay integro-differential system
Cogent Engineering, 2016 By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
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