Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space by Ao-Lei Sima, Fei He, Ning Lu

“…The purpose of this paper is to generalize the fixed-point theorems for Banach–Pata-type contraction and Kannan–Pata-type contraction from metric spaces to Kaleva–Seikkala’s type fuzzy metric spaces. …”
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Some Properties of Distances and Best Proximity Points of Cyclic Proximal Contractions in Metric Spaces by M. De La Sen, Asier Ibeas

“…This paper presents some results concerning the properties of distances and existence and uniqueness of best proximity points of p-cyclic proximal, weak proximal contractions, and some of their generalizations for the non-self-mapping T:⋃i∈p-Ai→⋃i∈p-Bi  (p≥2), where Ai and Bi, ∀i∈p-={1,2,…,p}, are nonempty subsets of X which satisfy TAi⊆Bi,∀i∈p-, such that (X,d) is a metric space. The boundedness and the convergence of the sequences of distances in the domains and in their respective image sets of the cyclic proximal and weak cyclic proximal non-self-mapping, and of some of their generalizations are investigated. …”
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A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems by Khalil Javed, Awais Asif, Ekrem Savas

“…The article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. …”
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Fixed Points of Generalized F-Suzuki Type Contraction in Complete b-Metric Spaces by Hamed Hamdan Alsulami, Erdal Karapınar, Hossein Piri

“…We introduce the notion of generalized F-Suzuki type contraction in b-metric spaces and investigate the existence of fixed points of such mappings. …”
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The Existence of Fixed Points for a Different Type of Contractions on Partial b-Metric Spaces by Muhammad Nazam, Hüseyin Işik, Khalil Javed, Muhammad Naeem, Muhammad Arshad

“…The aim of this study is to present fixed point results in the setting of partial b-metric spaces. A different type of contractions is used to prove fixed point results in the given space, which are real generalization of many well-known results. …”
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Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces by Mujahid Abbas, Manuel De la Sen, Talat Nazir

“…The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. …”
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Some Theorems about (ψ,φ,ϵ,λ)-Contraction in Fuzzy Metric Spaces by Parvin Azhdari

“…We previously proved a number of fixed point theorems for some kinds of contractions like bn-contraction and φ-H contraction in fuzzy metric spaces. In this paper, we discuss the problem of existence of fixed point for (ψ,φ,ϵ,λ)-contraction in fuzzy metric spaces in sense of George and Veeramani.…”
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Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces by Mi Zhou, Xiao-Lan Liu, Arslan Hojat Ansari, Mukesh Kumar Jain, Jia Deng

“…Secondly, some common fixed point theorems are stated under some compatible conditions such as weak semicompatible of type A, weak semicompatibility, and conditional semicompatibility in metric spaces. Moreover, we introduce a new kind of compatibility called Sτ−compatibility which is weaker than E.A. property and also present a common fixed point theorem in metric spaces via inverse Ck−class functions. …”
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New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces by Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri

“…In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐ϕ-contraction in b-rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. …”
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On a New Faster Implicit Fixed Point Iterative Scheme in Convex Metric Spaces by Renu Chugh, Preety Malik, Vivek Kumar

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Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications by Chaobo Li, Yunan Cui, Lili Chen

“…In this paper, the concept of convex rectangular b−metric spaces is introduced as a generalization of both convex metric spaces and rectangular b−metric spaces. …”
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Retracted: Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application by Journal of Mathematics

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Fixed Point of -Hardy-Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces by Mujahid Abbas, Hassen Aydi, Stojan Radenović

“…We prove some fixed point theorems for a T-Hardy-Rogers contraction in the setting of partially ordered partial metric spaces. We apply our results to study periodic point problems for such mappings. …”
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Fixed Point Theorems for Cyclic Contractions in C⁎-Algebra-Valued b-Metric Spaces by Chakkrid Klin-eam, Prondanai Kaskasem

“…We study fundamental properties of C⁎-algebra-valued b-metric space which was introduced by Ma and Jiang (2015) and give some fixed point theorems for cyclic mapping with contractive and expansive condition on such space analogous to the results presented in Ma and Jiang, 2015.…”
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Coupled Coincidence Points in Partially Ordered Cone Metric Spaces with a c-Distance by Wasfi Shatanawi, Erdal Karapınar, Hassen Aydi

“…Cho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of a c-distance in cone metric spaces. …”
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n-Tupled Coincidence Point Theorems in Partially Ordered Metric Spaces for Compatible Mappings by Sumitra Dalal, Muhammad Alamgir Khan, Sunny Chauhan

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A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces by N. Hussain, S. Khaleghizadeh, P. Salimi, Afrah A. N. Abdou

“…The aim of this paper is to propose some fixed point theorems in complete parametric metric spaces. Using these theorems, we deduce as corollaries the recent results of Ionescu et al. …”
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Self-similar random fractal measures using contraction method in probabilistic metric spaces by József Kolumbán, Anna Soós, Ibolya Varga

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Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces by Abdullah Shoaib, Muhammad Arshad, Jamshaid Ahmad

“…Fixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have been established. Instead of monotone mapping, the notion of dominated mappings is applied. …”
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Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces by Chaiporn Thangthong, Anchalee Khemphet

“…The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. …”
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