Strongly nonlinear potential theory on metric spaces by Noureddine Aïssaoui

“…We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. …”
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Topologies on Superspaces of TVS-Cone Metric Spaces by Xun Ge, Shou Lin

“…This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively. …”
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Semigroup Actions on Intuitionistic Fuzzy Metric Spaces by Yaoyao Lan, Qingguo Li

“…This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. We give some concepts such as topological transitivity, point transitivity, and densely point transitivity for such dynamical systems. …”
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On coincidence theorems for a family of mappings in convex metric spaces by Olga Hadzic

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On Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces by Zhenhua Jiao

“…The author extends two fixed point theorems (due to Gregori, Sapena, and Žikić, resp.) in fuzzy metric spaces to intuitionistic fuzzy metric spaces.…”
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Generalization Contractive Mappings on Rectangular b-Metric Space by Jayshree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, Hatira Günerhan

“…In this paper, we introduce new coincidence fixed point theorems for generalized ϕ,ψ-contractive mappings fulfilling kind of an admissibility provision in a Hausdorff b-rectangular metric space with the support of C-functions. We applied our results to establish the existence of a solution for some integralitions. …”
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A Study on Fixed Circles in $ \phi $-Metric Spaces by Abhishikta Das, Tarapada Bag

“…Our present work is the extension of the line of research in the context of $\phi$-metric spaces. We introduce the notion of fixed circle and obtain suitable conditions for the existence and uniqueness of fixed circles for self mappings. …”
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Fixed Points for Multivalued Mappings in b-Metric Spaces by Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

“…The purpose of our paper is to study the existence of fixed points for multivalued mappings, under an α-ψ-contractive condition of Ćirić type, in the setting of complete b-metric spaces. An application to integral equation is given.…”
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Fixed Point Results in Orthogonal Neutrosophic Metric Spaces by Umar Ishtiaq, Khalil Javed, Fahim Uddin, Manuel de la Sen, Khalil Ahmed, Muhammad Usman Ali

“…In this study, the concept of an orthogonal neutrosophic metric space is initiated. It is a generalization of the neutrosophic metric space. …”
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Fixed Point Results in Quasi-Cone Metric Spaces by Fawzia Shaddad, Mohd Salmi Md Noorani

“…The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. …”
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Tripled Fixed Point Results in Generalized Metric Spaces by Hassen Aydi, Erdal Karapınar, Wasfi Shatanawi

“…We establish a tripled fixed point result for a mixed monotone mapping satisfying nonlinear contractions in ordered generalized metric spaces. Also, some examples are given to support our result.…”
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Integral Type F-Contractions in Partial Metric Spaces by Vildan Ozturk

“…Partial metric spaces were introduced as a generalization of usual metric spaces where the self-distance for any point need not be equal to zero. …”
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Caristi’s Fixed Point Theorem in Cone Metric Space by Fatemeh Lael, Naeem Saleem, Reny George

“…In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces. In addition, we partially addressed an open problem in which Caristi-Kirk fixed point result in cone metric spaces reduces to a classical result in metric spaces and provided a brief justification for a partial positive answer to this open problem using Caristi-Kirk fixed point theorem on uniform space. …”
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Existence of Fixed Point Results in 𝐺-Metric Spaces by Zead Mustafa, Wasfi Shatanawi, Malik Bataineh

“…Moreover, we showed that these conditions do not guarantee the completeness of 𝐺-metric spaces.…”
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Multivalued φ-Contractions on Extended b-Metric Spaces by Maria Samreen, Wahid Ullah, Erdal Karapinar

“…In this paper, we have established some fixed-point results for the class of multivalued φ-contractions in the setting of extended b-metric space. An example is furnished to show the validity of our results. …”
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Another extension of Orlicz-Sobolev spaces to metric spaces by Noureddine Aïssaoui

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A Schwarz lemma of harmonic maps into metric spaces by Jie Wang

“…We established a Schwarz lemma for harmonic maps from Riemannian manifolds to metric spaces of curvature bounded above in the sense of Alexandrov. …”
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On Multivalued Fuzzy Contractions in Extended b-Metric Spaces by Nayab Alamgir, Quanita Kiran, Hassen Aydi, Yaé Ulrich Gaba

“…In this paper, we establish a Hausdorff metric over the family of nonempty closed subsets of an extended b-metric space. Thereafter, we introduce the concept of multivalued fuzzy contraction mappings and prove related α-fuzzy fixed point theorems in the context of extended b-metric spaces that generalize Nadler’s fixed point theorem as well as many preexisting results in the literature. …”
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The Near-Ring of Lipschitz Functions on a Metric Space by Mark Farag, Brink van der Merwe

“…This paper treats near-rings of zero-preserving Lipschitz functions on metric spaces that are also abelian groups, using pointwise addition of functions as addition and composition of functions as multiplication. …”
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Asymptotic Properties of -Expansive Homeomorphisms on a Metric -Space by Ruchi Das, Tarun Das

“…We define and study the notions of positively and negatively -asymptotic points for a homeomorphism on a metric -space. We obtain necessary and sufficient conditions for two points to be positively/negatively -asymptotic. …”
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