Common Fixed Point Theorems on Generalized Ratio Contraction Mapping in Extended Rectangular b-Metric Spaces by Budi Nurwahyu

“…In this paper, we propose and prove the common fixed point theorems on generalized contraction mappings in extended rectangular b-metric spaces by utilizing the weakly compatible function property.…”
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Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space by Mi Zhou, Xiao-lan Liu, Nicolae Adrian Secelean

“…In this paper, first, we introduce a new type of S∗−fuzzy metric space which is a generalization of fuzzy metric spaces. …”
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Recent Fixed-Point Results for θ−Contraction Mappings in Rectangular M−Metric Spaces with Supportive Application by Mustafa Mudhesh, Hasanen A. Hammad, Habes Alsamir, Muhammad Arshad, Eskandar Ameer

“…The goal of this manuscript is to present a new fixed-point theorem on θ−contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. …”
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COMMON FIXED POINT IN 𝐺-METRIC SPACES VIA GENERALIZED Γ-𝐶_𝐹 -SIMULATION FUNCTION by S. V. Puvar, R. G. Vyas

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Common Fixed Point Theorem for Multivalued Mappings Using Ternary Relation in G-Metric Space with an Application by Lucas Wangwe

“…This paper proves a common fixed point theorem for single-valued and multivalued mappings by using ternary relation in G-metric spaces. Henceforth, results obtained will be verified with the help of illustrative examples. …”
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Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications by Biwen Li, Huaping Huang

“…By using a nontrivial proof method, the purpose of this paper is to obtain some fixed point results for weak φ-contractions in cone metric spaces over Banach algebras. Several examples and applications to the existence and uniqueness of a solution to two classes of equations are also given.…”
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Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem by Kitila Wirtu Geleta, Kidane Koyas Tola, Solomon Gebregiorgis Teweldemedhin

“…In this paper, we establish fixed point theorems for α-F-convex contraction mappings in b-metric space and prove the existence and uniqueness of fixed points for such mappings. …”
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An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems by Muhammad Talha Waheed, Saif Ur Rehman, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

“…In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems (FP-theorems) in fuzzy cone metric spaces (FCM-spaces) by using “the triangular property of fuzzy cone metric” and present illustrative examples to support our main work. …”
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Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions by A. Roldán, J. Martínez-Moreno, C. Roldán, E. Karapınar

“…We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)).…”
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Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems by Muhammad Nazam, Zahida Hamid, Hamed Al Sulami, Aftab Hussain

“…In this paper, we investigate the conditions for the existence of the common fixed points of generalized contractions in the partial b-metric spaces endowed with an arbitrary binary relation. …”
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Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces by Bhavana Deshpande, Amrish Handa

“…We establish a common coupled fixed point theorem for weakly compatible mappings on modified intuitionistic fuzzy metric spaces. As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. …”
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Fixed Point Theorems for α,k,θ,φ-Contraction Multivalued Mappings in b-Metric Space by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

“…We present the concept of α,k,θ,φ-contractive multivalued mappings in b-metric spaces and prove some fixed point results for these mappings in this study. …”
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Rational-type fixed-point theorems in b-metric spaces and their application to economic growth and market equilibrium by Khaled Aldwoah, Syed Khayyam Shah, Alaa Mustafa, Mohammed A. Almalahi, Mohammed Hassan, Amer Alsulami

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Common Fixed Point Results Using Generalized Altering Distances on Orbitally Complete Ordered Metric Spaces by Hemant Kumar Nashine, Zoran Kadelburg, Zorana Golubović

“…We prove the existence of common fixed points for three relatively asymptotically regular mappings defined on an orbitally complete ordered metric space using orbital continuity of one of the involved maps. …”
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Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions by Fahad Sameer Alshammari, K. P. Reshma, Rajagopalan R., Reny George

“…Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. …”
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Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces by W. Sintunavarat, P. Kumam

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Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces by Chi-Ming Chen, W. Y. Sun

“…We introduce the notion of weaker (ϕ,φ)-contractive mapping in complete metric spaces and prove the periodic points and fixed points for this type of contraction. …”
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Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces by Chakkrid Klin-eam, Cholatis Suanoom

“…Fixed-point theory in complex valued metric spaces has greatly developed in recent times. …”
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Nonunique Fixed Point Results via Kannan F-Contraction on Quasi-Partial b-Metric Space by Pragati Gautam, Santosh Kumar, Swapnil Verma, Gauri Gupta

“…This paper is aimed at acquainting with a new Kannan F-expanding type mapping by the approach of Wardowski in the complete metric space. We establish some fixed point results for Kannan F-expanding type mapping and F-contractive type mappings which satisfy F-contraction conditions. …”
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On the α−ψ-Contractive Mappings in C∗-Algebra Valued b-Metric Spaces and Fixed Point Theorems by Saleh Omran, Ibtisam Masmali

“…In this paper, for a unital C∗-algebra A, we introduce a version of α-ψ-contractive mappings in C∗-algebra valued b-metric spaces, and we prove some Banach fixed point theorems and give some examples to illustrate our results.…”
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