Results 31 to 40 of about 27,775 (164)
Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
Fixed Point Theory and Applications, 2009 Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal.
Thabet Abdeljawad, Erdal Karapinar
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Well-posedness, bornologies, and the structure of metric spaces
Applied General Topology, 2009 Given a continuous nonnegative functional λ that makes sense defined on an arbitrary metric space (X, d), one may consider those spaces in which each sequence (xn) for which lim n→∞λ(xn) = 0 clusters. The compact metric spaces, the complete metric spaces,
Gerald Beer, Manuel Segura
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Free complete Wasserstein algebras [PDF]
Logical Methods in Computer Science, 2018 We present an algebraic account of the Wasserstein distances $W_p$ on complete metric spaces, for $p \geq 1$. This is part of a program of a quantitative algebraic theory of effects in programming languages.
Radu Mardare +2 more
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Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap
Jambura Journal of Mathematics, 2023 Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati +2 more
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On the closedness of sets with the fixed point property for contractions
Journal of Numerical Analysis and Approximation Theory, 1997 It is proved by examples that there exist (connected) non-closed sets with the fixed point property for contractions in complete metric spaces. In a Banach space, a convex set with nonvoid interior having the fixed point property for contractions is ...
Mira-Cristiana Anisiu, Valeriu Anisiu
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A Suzuki-type multivalued contraction on weak partial metric spaces and applications
Journal of Inequalities and Applications, 2018 Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3):693–706, 2018), we introduce the concept of Hq+ $\mathcal{H}_{q}^{+}$-type Suzuki multivalued contraction mappings.
Hassen Aydi +3 more
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Bourbaki completeness in quasi metric spaces [PDF]
Journal of Nonlinear Functional Analysis, 2019 The main purpose of this paper is to define a new type of boundedness in a quasi metric space. We introduce some new notions of completeness by clustering sequences belonging to the classes larger than the classes of Cauchy sequences in some sense. We also obtain some interesting results related to the compactness.
İlkhan, Merve, Kara, Emrah Evren
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Generalization of Fixed Point Theorem for φ- Contraction Mapping of a Fuzzy b- Metric Space
Ibn Al-Haitham Journal for Pure and Applied SciencesLet (X,W,T) be a fuzzy b- metric space, where X is a non-empty set, W is a fuzzy set on X×X×(0,∞) to [0,1], and T is a continuous t-norm, and let a function φ:[0,1]→[0,1] satisfies the following conditions: The function φ is strictly decreasing and ...
Russll Abdul Kadhim Mohammed +1 more
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A Fixed Point Theorem for L-Contraction in Generalized D-Metric Spaces
مجلة بغداد للعلوم, 2008 We define L-contraction mapping in the setting of D-metric spaces analogous to L-contraction mappings [1] in complete metric spaces. Also, give a definition for general D- matric spaces.And then prove the existence of fixed point for more general class ...
Baghdad Science Journal
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Fixed Points and Completeness in Metric and Generalized Metric Spaces [PDF]
Journal of Mathematical Sciences, 2020 The famous Banach Contraction Principle holds in complete metric spaces, but completeness is not a necessary condition -- there are incomplete metric spaces on which every contraction has a fixed point. The aim of this paper is to present various circumstances in which fixed point results imply completeness.
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