Best Proximity Point Results in G-Metric Spaces by N. Hussain, A. Latif, P. Salimi

“…G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. …”
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Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications by Badriah Alamri

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Fixed Point of Generalized Weak Contraction in b-Metric Spaces by Maryam Iqbal, Afshan Batool, Ozgur Ege, Manuel de la Sen

“…In this manuscript, a class of generalized ψ,α,β-weak contraction is introduced and some fixed point theorems in the framework of b-metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. …”
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Coincidence Points of Weaker Contractions in Partially Ordered Metric Spaces by Kuo-Ching Jen, Ing-Jer Lin, Chi-Ming Chen

“…We prove new coincidence point theorems for the -contractions and generalized Meir-Keeler-type --contractions in partially ordered metric spaces. Our results generalize many recent coincidence point theorems in the literature.…”
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On iterative solution of nonlinear functional equations in a metric space by Rabindranath Sen, Sulekha Mukherjee

“…Given that A and P as nonlinear onto and into self-mappings of a complete metric space R, we offer here a constructive proof of the existence of the unique solution of the operator equation Au=Pu, where u∈R, by considering the iterative sequence Aun+1=Pun (u0 prechosen, n=0,1,2,…). …”
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Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces by Nabil Mlaiki, Ufuk Çelik, Nihal Taş, Nihal Yilmaz Özgür, Aiman Mukheimer

“…In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, ψ-contractive, and weakly ψ-contractive self-mappings. …”
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Some Fixed Point Results in Function Weighted Metric Spaces by Awais Asif, Nawab Hussain, Hamed Al-Sulami, Muahammad Arshad

“…After the establishment of the Banach contraction principle, the notion of metric space has been expanded to more concise and applicable versions. …”
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On Coincidence Theorem in Intuitionistic Fuzzy b-Metric Spaces with Application by Shazia Kanwal, Akbar Azam, Faria Ahmed Shami

“…The concept of intuitionistic fuzzy b-metric spaces (shortly, IFbMS) has been introduced and studied to generalize both the notion of intuitionistic fuzzy metric spaces and fuzzy b-metric spaces. …”
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On Convergence of Fixed Points in G-Complete Fuzzy Metric Spaces by Dong Qiu, Shuai Deng

“…We provide some results on the convergence of the sequence of fixed points for some different sequences of contraction mappings or fuzzy metrics in G-complete fuzzy metric spaces with the H-type t-norms. We improve the corresponding conclusions in the literature.…”
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Picard Sequence and Fixed Point Results on b-Metric Spaces by Marta Demma, Pasquale Vetro

“…We obtain some fixed point results for single-valued and multivalued mappings in the setting of a b-metric space. These results are generalizations of the analogous ones recently proved by Khojasteh, Abbas, and Costache.…”
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Solving an Integral Equation via Orthogonal Branciari Metric Spaces by Aiman Mukheimer, Arul Joseph Gnanaprakasam, Absar Ul Haq, Senthil Kumar Prakasam, Gunaseelan Mani, Imran Abbas Baloch

“…In this article, we present an orthogonal L-contraction mapping concepts and prove a fixed point theorem on orthogonal complete Branciari metric spaces. As an application, we apply our major results to solving integral equations.…”
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Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces by Zorana Golubović, Zoran Kadelburg, Stojan Radenović

“…New coupled coincidence point and coupled fixed point results in ordered partial metric spaces under the contractive conditions of Geraghty, Rakotch, and Branciari types are obtained. …”
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On Cyclic Generalized Weakly C-Contractions on Partial Metric Spaces by Erdal Karapınar, Vladimir Rakocević

“…We give new results of a cyclic generalized weakly C-contraction in partial metric space. The results of this paper extend, generalize, and improve some fixed point theorems in the literature.…”
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New Results for Set-Valued Mappings on Ordered Metric Spaces by F. Sabetghadam, H. P. Masiha, H. Aydi

“…We establish some new fixed point results for order-closed multivalued mappings in complete metric spaces endowed with a partial order.…”
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Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces by Chuanxi Zhu, Wenqing Xu, Zhaoqi Wu

“…We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces. …”
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Stationary points for set-valued mappings on two metric spaces by Zeqing Liu, Qingtao Liu, Shin Min Kang

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Theta Cone Metric Spaces and Some Fixed Point Theorems by Sahar Mohamed Ali Abou Bakr

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On Some Fixed Point Results in E−Fuzzy Metric Spaces by Rachid Mecheraoui, Zoran D. Mitrović, Vahid Parvaneh, Hassen Aydi, Naeem Saleem

“…In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. …”
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Some Common Fixed Point Theorems in Partial Metric Spaces by Erdal Karapınar, Uğur Yüksel

“…Many problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of symmetric and modified version of triangle inequality is satisfied. …”
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Retracted: On Multivalued Fuzzy Contractions in Extended b-Metric Spaces by Journal of Mathematics

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