Consistency of the $k$-nearest neighbors rule for functional data by Younso, Ahmad

“…The problem of nonparametric classification by $k$-nearest neighbors rule in a general metric space will be considered. Consistency and strong consistency of the classifier will be established under mild conditions.…”
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Almost convex metrics and Peano compactifications by R. F. Dickman

“…Let (X,d) denote a locally connected, connected separable metric space. We say the X is S-metrizable provided there is a topologically equivalent metric ρ on X such that (X,ρ) has Property S, i.e., for any ϵ>0, X is the union of finitely many connected sets of ρ-diameter less than ϵ. …”
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Common fixed point theorems of contractive-type mappings by Hee Soo Park, Jeong Sheok Ume

“…Using the concept of D-metric we prove some common fixed point theorems for generalized contractive mappings on a complete D-metric space. Our results extend, improve, and unify results of Fisher and Ćirić.…”
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The Monotone Contraction Mapping Theorem by Joseph Frank Gordon

“…This paper provides a version of the Banach fixed-point theorem in a complete metric space.…”
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The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor by Zaki F. A. El-Raheem, A. H. Nasser

“…We prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 𝐿2(0,𝜋;𝜌(𝑥)).…”
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A Suzuki Type Fixed-Point Theorem by Ishak Altun, Ali Erduran

“…We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).…”
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Parabolic (φ, ξ, η, g, λ)-structures of second kind on hypersurfaces of dual metric 4-dimensional spaces by Angelė Baškienė

“… Parabolic metric (φ, ξ, η, g, λ)-structures of second kind on hypersurfaces of 4-dimensional dual metric space and its properties are investigated. Some examples of normal, integrable parabolic metric structures of second kind are given. …”
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On Generalized Caristi Type Satisfying Admissibility Mappings by Mohammed M. A. Almazah, Basel Hardan, Ahmed A. Hamoud, Faisal A. M. Ali

“…In this article, the existence and uniqueness of a fixed point were investigated using the concept of σ,γ-contractive in the context of Hausdorff metric space. A well-known Caristi type is primarily generalized by the new results. …”
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On common fixed points of weakly commuting mappings and set-valued mappings by S. Sessa, B. Fisher

“…Our main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. …”
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Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition by Cristina Di Bari, Calogero Vetro

“…We introduce a new generalized contractive condition for four mappings in the framework of metric space. We give some common fixed point results for these mappings and we deduce a fixed point result for weakly compatible mappings satisfying a contractive condition of integral type.…”
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Point-valued mappings of sets by Matt Insall

“…Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. …”
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Fixed point theorems for non-self maps I by Troy L. Hicks, Linda Marie Saliga

“…All results hold when X is complete metric space. Several results hold in a much more general setting.…”
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Set-Word Embeddings and Semantic Indices: A New Contextual Model for Empirical Language Analysis by Pedro Fernández de Córdoba, Carlos A. Reyes Pérez, Claudia Sánchez Arnau, Enrique A. Sánchez Pérez

“…We present a new word embedding technique in a (non-linear) metric space based on the shared membership of terms in a corpus of textual documents, where the metric is naturally defined by the Boolean algebra of all subsets of the corpus and a measure <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> defined on it. …”
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Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions by Binayak S. Choudhury, Chaitali Bandyopadhyay

“…We consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu-Hausdorff distance. …”
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Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications by Humaira, Muhammad Sarwar, G. N. V. Kishore

“…In this paper, using rational type contractions, common fuzzy fixed point result for Φ contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. …”
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Relational Quasicontractions and Related Fixed Point Theorems by Nidal H. E. Eljaneid, Faizan A. Khan, Hamid I. A. Mohammed, Aftab Alam

“…In this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. …”
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Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application by Muhammad Nazam, Hassen Aydi, Mohd Salmi Noorani, Haitham Qawaqneh

“…We initiate the concept of a new generalized F-contraction satisfying some contractive conditions involving four maps on a partial metric space. We set up an example to elucidate our main result. …”
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Edge Theoretic Extended Contractions and Their Applications by R. Rajagopalan, Ekta Tamrakar, Fahad. S. Alshammari, H. K. Pathak, Reny George

“…Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.…”
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A common fixed point theorem of Meir and Keeler type by Y. J. Cho, P. P. Murthy, G. Jungck

“…In this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. …”
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On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property by Marwan Amin Kutbi, Jamshaid Ahmad, Akbar Azam, Nawab Hussain

“…Let (X,d) be a complex valued metric space and let S,T be mappings from X to a set of all fuzzy subsets of X. …”
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