Coincidence Point Results on Relation Theoretic Fw,Rg-Contractions and Applications by Muhammad Aslam, Hassen Aydi, Samina Batul, Amna Naz

“…Some consequences of these results are also deduced in ordered metric spaces and metric spaces endowed with graph. Finally, as an application, the existence of the solution of certain Voltera type integral equations is investigated.…”
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Homotopy Characterization of ANR Function Spaces by Jaka Smrekar

“…Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space. Let YX denote the space of continuous maps from X to Y equipped with the compact open topology. …”
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On Fixed-Point Results of Generalized Contractions by Shazia Kanwal, Umair Hanif, Maha Eshaq Noorwali, Md. Ashraful Alam

“…Our results generalize and extend several well-known results in metric and b-metric spaces.…”
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Fixed point theorems for densifying mappings and compact mappings by Zeqing Liu, Li Wang, Shin Min Kang, Yong Soo Kim

“…The purpose of this note is to establish fixed point theorems for densifying mappings and compact mappings which are contractive in metric spaces and to investigate the existence of fixed points for a family of mappings in bounded metric spaces. …”
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Common fixed point theorems and applications by Hemant Kumar Pathak, Shih Sen Chang, Yeol Je Cho, Jong Soo Jung

“…The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. …”
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On Topological Properties of Metrics Defined via Generalized “Linking Construction” by Marcin Borkowski, Dariusz Bugajewski, Adam Burchardt

“…We analyze topological properties of metric spaces obtained by using Száz’s construction, which we used to call generalized “linking construction.” …”
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An Application of Fixed Point Theory to a Nonlinear Differential Equation by A. P. Farajzadeh, A. Kaewcharoen, S. Plubtieng

“…We introduce a new family of mappings on [0,+∞) by relaxing the nondecreasing condition on the mappings and by using the properties of this new family we present some fixed point theorems for α-ψ-contractive-type mappings in the setting of complete metric spaces. By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation.…”
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Functional-Type Caristi–Kirk Theorem on Menger Space and Application by Soumia Chaira, Mohammed Dahmouni, Abderrahim Eladraoui, Mustapha Kabil

“…In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. …”
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces by Jiang Zhu, Lei Wei, Yeol Je Cho, Cheng Cheng Zhu

“…The results of this paper extend, generalize, and improve the corresponding results for Ekeland's variational principles of the directed vectorial perturbation type and other generalizations of Ekeland's variational principles in the setting of F-type topological space and quasi-metric spaces in the literatures. Even in usual real metric spaces, some of our results are new.…”
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Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations by Marwan Amin Kutbi, Nawab Hussain, Jamal Rezaei Roshan, Vahid Parvaneh

“…The aim of this paper is to define weak α-ψ-φ-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on Gb-metric spaces using the concept of rectangular G-α-admissibility. …”
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Best Proximity Point Results for Modified --Proximal Rational Contractions by N. Hussain, M. A. Kutbi, P. Salimi

“…Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces. As an application, we deduce best proximity and fixed point results in partially ordered metric spaces. …”
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On Pata Convex-Type Contractive Mappings by Merve Aktay, Murat Özdemir

“…In this work, we introduce weak Pata convex contractions and weak E-Pata convex contractions via simulation functions in metric spaces to prove some fixed point results for such mappings. …”
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On completeness of quasi-pseudometric spaces by Seithuti P. Moshokoa

“…The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces.…”
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Some Properties of Fuzzy Quasimetric Spaces by Abdul Mohamad

“…We also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy quasi-metric spaces.…”
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Counterexamples for your calculus course by Jürgen Appell, Simon Reinwand

“…We present 2 theorems and 20 counterexamples illustrating the surprising behaviour of functions between metric spaces.…”
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On T-Stability of the Picard Iteration for Generalized φ-Contraction Mappings by R. H. Haghi, M. Postolache, Sh. Rezapour

“…We introduce some results on T-stability of the Picard iteration for φ-contraction and generalized φ-contraction mappings on metric spaces.…”
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Multivalued Fixed Point Theorems for Generalized Contractions and Their Applications by Muhammad Shoaib, Muhammad Sarwar

“…We give common hybrid fixed point results for generalized (ψ,ϕ) weak contraction satisfying owc and CLR properties in the framework of metric spaces. An application to functional equations is also discussed.…”
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A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems by Xian-Fu Hu

“…Li (2011) on the Hölder continuity of the solution sets of parametric vector equilibrium problems to the case of parametric vector quasiequilibrium problems in metric spaces. Furthermore, we also give an example to illustrate that our main results are applicable.…”
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Statistical Convergence in Function Spaces by Agata Caserta, Giuseppe Di Maio, Ljubiša D. R. Kočinac

“…We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. …”
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Fixed points of multivalued nonexpansive maps by T. Husain, Abdul Latif

“…Fixed point theorems for multivalued contractive-type and nonexpansive-type maps on complete metric spaces and on certain closed bounded convex subsets of Banach spaces have been proved. …”
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