Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators by Azhar Hussain, Ahsan Ali, Vahid Parvaneh, Hassen Aydi

“…We present some related fixed point theorems. We investigate data dependence and strict fixed point results. …”
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The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class $C$ by Mana Donganont, Arsalan Ansari, Snjezana Maksimovic, Zoran Mitrovic

“…Recently, Chouhan and Desai published a paper [Some Common Fixed-Point Theorems in Hilbert Space, J. Eemerg. Technol. …”
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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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Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces by N. Hussain, V. Parvaneh, S. J. Hoseini Ghoncheh

“…We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. …”
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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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On Extended b-Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application by Naeem Saleem, Salman Furqan, Fahd Jarad

“…We use fuzzy contraction and prove Banach fixed point theorems in these spaces. As an application, we utilize our main results to solve the uniqueness of the solution of a differential equation occurring in the dynamic market equilibrium.…”
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Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem by S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi

“…We first demonstrate the generalized Darbo-type fixed point theorems involving the concept of continuous functions. …”
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Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations by Saif Ur Rehman, Iqra Shamas, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

“…In this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. …”
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Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces by Chalongchai Klanarong, Suthep Suantai

“…We give relationships between those two types of mappings and prove their coupled fixed point and coupled common fixed point theorems in partially ordered complete metric spaces. …”
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Fixed-Point Results for Generalized α-Admissible Hardy-Rogers’ Contractions in Cone b2-Metric Spaces over Banach’s Algebras with Application by Ziaul Islam, Muhammad Sarwar, Manuel de la Sen

“…Furthermore, using α-admissible Hardy-Rogers’ contractive conditions, we have proven fixed-point theorems for self-mappings, which generalize and strengthen many of the conclusions in existing literature. …”
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On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions by Nichaphat Patanarapeelert, Jiraporn Reunsumrit, Thanin Sitthiwirattham

“…To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied.…”
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Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra by Ladan Aryanpour, Hamidreza Rahimi, Ghasem Soleimani Rad

“…In this article, applying the concept of a generalized c-distance in cone b-metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. …”
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Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions by Zaid Laadjal, Qasem M. Al-Mdallal, Fahd Jarad

“…In this article, we use some fixed point theorems to discuss the existence and uniqueness of solutions to a coupled system of a nonlinear Langevin differential equation which involves Caputo fractional derivatives of different orders and is governed by new type of nonlocal and nonseparated boundary conditions consisting of fractional integrals and derivatives. …”
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(m1,m2)-pseudo almost periodic solutions of Clifford-valued high-order fuzzy cellular neural networks with time delays by Bing Li, Ting Chen, Yongkun Li

“…This article mainly focuses on exploring the pseudo periodic dynamics of a class of Clifford-valued high-order fuzzy cellular neural networks (FCNNs) using non decomposition methods. By utilizing fixed point theorems, inequality techniques, and contradiction methods, the existence and stability of pseudo periodic solutions for this type of neural network (NN) were obtained. …”
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Existence of a unique solution to a fourth-order boundary value problem and elastic beam analysis by Ravindra Rao, Jagan Mohan Jonnalagadda

“…The primary tools employed in this study include the application of Banach's and Rus's fixed point theorems. Our theoretical results are applied to elastic beam deflections when the beam is subjected to a loading force and both ends are clamped. …”
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Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space by Mohamed Altanji, Annamalai Santhi, Vediyappan Govindan, Shyam Sundar Santra, Samad Noeiaghdam

“…Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. …”
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An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps by Rashad A. R. Bantan, Saif Ur Rehman, Shahid Mehmood, Waleed Almutiry, Amani Abdullah Alahmadi, Mohammed Elgarhy

“…This paper is aimed at establishing some unique common fixed point theorems in complex-valued b-metric space under the rational type contraction conditions for three self-mappings in which the one self-map is continuous. …”
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The Existence and Uniqueness of a Class of Fractional Differential Equations by Zhanbing Bai, Sujing Sun, YangQuan Chen

“…By using inequalities, fixed point theorems, and lower and upper solution method, the existence and uniqueness of a class of fractional initial value problems, D0+qx(t)=f(t,x(t),  D0+q-1x(t)),  t∈(0,T),  x(0)=0,  D0+q-1x(0)=x0,  are discussed, where f∈C([0,T]×R2,R),D0+qx(t) is the standard Riemann-Liouville fractional derivative, 1<q<2. …”
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Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications by Fahad Sameer Alshammari, Naif R. Alrashedi, Reny George

“…Hβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. …”
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Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales by Chengjun Yuan, Yongming Liu

“…The arguments are based upon fixed-point theorems in a cone.…”
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