Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique by Mohammed M. Matar

“…Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. Finally, some examples are given to explain the theorems.…”
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Positive Solutions for Singular Complementary Lidstone Boundary Value Problems by Fanglei Wang, Yukun An

“…By using fixed-point theorems of a cone, we investigate the existence and multiplicity of positive solutions for complementary Lidstone boundary value problems: (−1)𝑛𝑢(2𝑛+1)(𝑡)=ℎ(𝑡)𝑓(𝑢(𝑡)), in 0<𝑡<1, 𝑢(0)=0, 𝑢(2𝑖+1)(0)=𝑢(2𝑖+1)(1)=0, 0≤𝑖≤𝑛−1, where 𝑛∈𝑁.…”
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Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations by Hanying Feng, Xiaofeng Zhang

“…Firstly, we give Green’s functions and prove their properties; secondly, the existence and uniqueness of positive solutions are obtained by using some fixed point theorems. In addition, two examples are presented to demonstrate the application of our main results.…”
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On Neutrosophic 2-Metric Spaces with Application by Ali Asghar, Aftab Hussain, Khaleel Ahmad, Umar Ishtiaq, Hamed Al Sulami, Nawab Hussain

“…In this situation, we prove various fixed point theorems. The findings support previous methodologies in the literature and are backed up by various examples and an application.…”
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Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses by Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera

“…By employing Banach’s and Schaefer’s fixed-point theorems, we attain the required results. Finally, we provide examples that support the main findings we arrived at.…”
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Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative by Dandan Yang, Chuanzhi Bai

“…By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. …”
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Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative by Xiaoyou Liu, Zhenhai Liu

“…Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. …”
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On Some Interpolative Contractions of Suzuki Type Mappings by Andreea Fulga, Seher Sultan Yeşilkaya

“…We present some fixed point theorems for interpolative contraction operators using w-admissible maps which satisfy Suzuki type mappings. …”
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Random fixed points and random differential inclusions by Nikolaos S. Papageorgiou

“…Then we prove two fixed point theorems for random multifunctions with stochastic domain that satisfy certain tangential conditions. …”
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Some Extensions of Fixed Point Results over Quasi-JS-Spaces by Maha Noorwali, Hamed H. Alsulami, Erdal Karapınar

“…Our results unify and cover several existing fixed point theorems in distinct structures (such as standard quasi-metric spaces, quasi-b-metric spaces, dislocated quasi-metric spaces, and quasi-modular spaces) in the literature.…”
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Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space by Misbah Farheen, Tayyab Kamran, Azhar Hussain

“…As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. …”
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Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems by Chanon Promsakon, Sotiris K. Ntouyas, Jessada Tariboon

“…The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. …”
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On Best Proximity Points under the -Property on Partially Ordered Metric Spaces by Mohamed Jleli, Erdal Karapinar, Bessem Samet

“…In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view.…”
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Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type by Fei He

“…We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with a Q-function. …”
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Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem by Wenzhe Xie, Jing Xiao, Zhiguo Luo

“…By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under the classical Nagumo conditions. …”
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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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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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