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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Penot’s Compactness Property in Ultrametric Spaces with an Application by Mostafa Bachar, Messaoud Bounkhel, Samih Lazaiz

“…The spherical completeness property misled some mathematicians to it to hyperconvexity in metric spaces. As an application, we discuss some fixed point results in spherically complete ultrametric spaces.…”
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On Some Common Fixed Point Results for Weakly Contraction Mappings with Application by Yan Hao, Hongyan Guan

“…In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of b-metric spaces, which generalize the results of Cho. We also provide two examples to show the applicability and validity of our results. …”
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Tripled Fixed Point Theorems for Mixed Monotone Kannan Type Contractive Mappings by Marin Borcut, Mădălina Păcurar, Vasile Berinde

“…We present new results on the existence and uniqueness of tripled fixed points for nonlinear mappings in partially ordered complete metric spaces that extend the results in the previous works: Berinde and Borcut, 2011, Borcut and Berinde, 2012, and Borcut, 2012. …”
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Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings by Zeqing Liu, Zhihua Wu, Shin Min Kang, Sunhong Lee

“…Four fixed point theorems for nonlinear set-valued contractive mappings in complete metric spaces are proved. The results presented in this paper are extensions of a few well-known fixed point theorems. …”
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The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications by Marwan Amin Kutbi, Wutiphol Sintunavarat

“…We also apply our result to coincidence point and common fixed point theorems in metric spaces. Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. …”
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Common fixed point theorems for nonself-mappings in metrically convex spaces via altering distances by M. Imdad, Ladlay Khan

“…Some common fixed point theorems for a pair of nonself-mappings in complete metrically convex metric spaces are proved by alte ring distances between the points, which generalize earlier results due to M. …”
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Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions by Sirous Moradi, Erdal Karapınar, Hassen Aydi

“…For this purpose, we present some fixed point theorems for weakly and generalized weakly contractive mappings in the setting of partially ordered complete metric spaces.…”
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On Some New Fixed Point Results with Applications to Matrix Difference Equations by Marwan Amin Kutbi, Jamshaid Ahmad, Muhammad Imran Shahzad

“…The aim of this article is to discuss the convergence of iterative sequences of the Prešić type involving new classes of operators satisfying Prešić type Θ-contractive condition in the context of metric spaces. Some examples are also provided to show the significance of the investigation of finding fixed points. …”
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