Two New Geraghty Type Contractions in Gb-Metric Spaces by Yixiao Wang, Chunfang Chen

“…In this work, two Geraghty type contractions are introduced in Gb-metric spaces, and some fixed point theorems about the contractions are proved. …”
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New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces by Hayel N. Saleh, Mohammad Imdad, Thabet Abdeljawad, Mohammad Arif

“…Utilizing our newly introduced notions, we establish some new fixed-point theorems in the setting of complete Branciari’s metric spaces, without using the Hausdorff assumption. …”
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Fixed Point Theorems for L-Contractions in Generalized Metric Spaces by Seong-Hoon Cho

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Admissible Hybrid Z-Contractions in Extended b-Metric Spaces by Quanita Kiran, Mamuna Azhar, Hassen Aydi, Yaé Ulrich Gaba

“…In this paper, we define the notation of admissible hybrid Z-contractions in the setting of extended b-metric spaces, which unifies and generalizes previously existing results in literature. …”
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Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces by A. Kaewcharoen, B. Panyanak

“…The purpose of this paper is to ensure the existence of fixed points for multivalued nonexpansive weakly inward nonself-mappings in uniformly convex metric spaces. This extends a result of Lim (1980) in Banach spaces. …”
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Fixed Point Theory in α-Complete Metric Spaces with Applications by N. Hussain, M. A. Kutbi, P. Salimi

“…The aim of this paper is to introduce new concepts of α-η-complete metric space and α-η-continuous function and establish fixed point results for modified α-η-ψ-rational contraction mappings in α-η-complete metric spaces. …”
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The space of entire functions of two variables as a metric space by W. C. Sisarcick

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Fixed Point Problems in Cone Rectangular Metric Spaces with Applications by Muhammad Nazam, Anam Arif, Hasan Mahmood, Sang Og Kim

“…In this paper, we introduce an ordered implicit relation and investigate some new fixed point theorems in a cone rectangular metric space subject to this relation. Some examples are presented as illustrations. …”
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Erratum to “Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces” by Parin Chaipunya, Chirasak Mongkolkeha, Wutiphol Sintunavarat, Poom Kumam

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Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces by Dušan Ðukić, Zoran Kadelburg, Stojan Radenović

“…Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. …”
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Some Almost Generalized (ψ,ϕ)-Contractions in G-Metric Spaces by Hassen Aydi, Sana Hadj Amor, Erdal Karapinar

“…In this paper, we introduce some almost generalized (ψ,ϕ)-contractions in the setting of G-metric spaces. We prove some fixed points results for such contractions. …”
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Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces by Wasfi Shatanawi, Mihai Postolache

“…We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in the literature.…”
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On Best Proximity Points under the -Property on Partially Ordered Metric Spaces by Mohamed Jleli, Erdal Karapinar, Bessem Samet

“…In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. …”
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A Proposal for Revisiting Ćirić and Caristi Type Theorems in Metric Spaces by Belkassem Seddoug, Soumia Chaira, Karim Chaira

“…We propose some new fixed point theorems in a metric space with partial order. To make our results effective, several examples are presented.…”
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Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results by Salman Furqan, Hüseyin Işık, Naeem Saleem

“…In this study, we introduce fuzzy triple controlled metric space that generalizes certain fuzzy metric spaces, like fuzzy rectangular metric space, fuzzy rectangular b-metric space, fuzzy b-metric space, and extended fuzzy b-metric space. …”
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A Note on Best Approximation in 0-Complete Partial Metric Spaces by Marta Demma, Mohamed Jleli, Bessem Samet, Calogero Vetro

“…We study the existence and uniqueness of best proximity points in the setting of 0-complete partial metric spaces. We get our results by showing that the generalizations, which we have to consider, are obtained from the corresponding results in metric spaces. …”
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Generalization of Some Coupled Fixed Point Results on Partial Metric Spaces by Wasfi Shatanawi, Hemant Kumar Nashine, Nedal Tahat

“…Using the setting of partial metric spaces, we prove some coupled fixed point results. …”
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Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces by Famei Zheng, Xiuguo Lian

“…We generalize Jungck's theorem in Jungck (1976) to fuzzy metric spaces and prove common fixed point theorems for commutative mappings in fuzzy metric spaces.…”
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New Fixed Point Results in F-Quasi-Metric Spaces and an Application by Ehsan Lotfali Ghasab, Hamid Majani, Erdal Karapinar, Ghasem Soleimani Rad

“…The main goal of the present paper is to obtain several fixed point theorems in the framework of F-quasi-metric spaces, which is an extension of F-metric spaces. …”
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Common Fixed Points via λ-Sequences in G-Metric Spaces by Yaé Ulrich Gaba

“…We use λ-sequences in this article to derive common fixed points for a family of self-mappings defined on a complete G-metric space. We imitate some existing techniques in our proofs and show that the tools employed can be used at a larger scale. …”
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