Some Fixed Point Results for TAC-Type Contractive Mappings by Sumit Chandok, Kenan Tas, Arslan Hojat Ansari

“…We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. …”
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Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications by Haiyan Gao, Na Liu, Liangshi Zhao

“…In this paper, we use ω-distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces. The proved results are used to investigate the solvability of certain nonlinear integral equations. …”
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Common fixed point theorems for compatible mappings by Kenan Taş, Mustafa Telci, Brian Fisher

“…By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.…”
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Ulam-Hyers Stability for MKC Mappings via Fixed Point Theory by Anisa Mukhtar Hassan, Erdal Karapınar, Hamed H. Alsulami

“…We consider some extension of MKC mappings in the framework of complete dislocated metric spaces. Besides the theoretical results, we also consider some illustrative examples. …”
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Remarks of Fixed Point for (ψ,φ)-Weakly Contractive Mappings by Zhiqun Xue, Guiwen Lv

“…In this paper, we obtain a new fixed point theorem for weak contraction mappings on complete generalized metric spaces. Our result is different from that of (ψ,φ)-weakly contractive mappings which had been obtained by Lakzian–Samet’s [Appl. …”
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Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings by A. P. Farajzadeh, M. Delfani, Y. H. Wang

“…The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. …”
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On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application by Naeem Saleem, Salman Furqan, Fahd Jarad

“…In this article, we introduce the notions of extended b-rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly defined fuzzy metric-like spaces and prove that these spaces are not Hausdorff. …”
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Contractive mappings on a premetric space by C. Y. Shen, A. Sound

“…The applications of these results to topological vector spaces and to metric spaces are also discussed.…”
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Generalized Common Fixed Point Results with Applications by Marwan Amin Kutbi, Muhammad Arshad, Jamshaid Ahmad, Akbar Azam

“…We obtained some generalized common fixed point results in the context of complex valued metric spaces. Moreover, we proved an existence theorem for the common solution for two Urysohn integral equations. …”
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Approach Merotopological Spaces and their Completion by Mona Khare, Surabhi Tiwari

“…The present study is a unified look at the completion of metric spaces, approach spaces, nearness spaces, merotopological spaces, and approach merotopological spaces.…”
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Fixed Points of Multivalued Nonself Almost Contractions by Maryam A. Alghamdi, Vasile Berinde, Naseer Shahzad

“…We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. …”
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On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory by Areej S. S. Alharbi, Hamed H. Alsulami, Erdal Karapinar

“…We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature.…”
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Nonunique Coincidence Point Results via Admissible Mappings by Erdal Karapınar, Chi-Ming Chen, Andreea Fulga

“…This paper is aimed at presenting some coincidence point results using admissible mapping in the framework of the partial b-metric spaces. Observed results of the article cover a number of existing works on the topic of “investigation of nonunique fixed points.” …”
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Discussion on Geraghty Type Hybrid Contractions by Sara Salem Alzaid, Andreea Fulga, Fehaid Salem Alshammari

“…In this manuscript, we define the notion of Geraghty type hybrid contractions in the setting of b-metric spaces. We prove the existence of a fixed point for such mappings whenever b-metric space is complete. …”
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On Some Interpolative Contractions of Suzuki Type Mappings by Andreea Fulga, Seher Sultan Yeşilkaya

“…The goal of this study is to propose a new interpolative contraction mapping by using an interpolative approach in the setting of complete metric spaces. We present some fixed point theorems for interpolative contraction operators using w-admissible maps which satisfy Suzuki type mappings. …”
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Common α-Fuzzy Fixed Point Results with Applications to Volterra Integral Inclusions by Abdullah Eqal Al-Mazrooei, Jamshaid Ahmad

“…For it, we define the notion of generalized Θ-contractions in the context of b-metric spaces. As applications, we investigate the solutions of Volterra integral inclusions by our established results.…”
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Caristi Type Selections of Multivalued Mappings by Calogero Vetro, Francesca Vetro

“…In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems.…”
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Quadruple Best Proximity Points with Applications to Functional and Integral Equations by Hasanen A. Hammad, Rashwan A. Rashwan, A. Nafea, Fahd Jarad

“…This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. …”
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On the H.-Q. Li inequality on step-two Carnot groups by Zhang, Ye

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Double Controlled Partial Metric Type Spaces and Convergence Results by Haroon Ahmad, Mudasir Younis, Mehmet Emir Köksal

“…In this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces. …”
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