On Feller's criterion for the law of the iterated logarithm by Deli Li, M. Bhaskara Rao, Xiangchen Wang

Subjects: “…central limit theorem…”
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Towards free localic algebras by Nathan Tshakatumba, Partha Pratim Ghosh, Inderasan Naidoo

Subjects: “…beck's theorem…”
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Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application by Lucas Wangwe

“…By combining the notions of G-metric space and b-metric space, in this paper, we present coincidence fixed-point theorems for p-hybrid mappings in Gb-metric spaces. …”
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Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph by Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil, Samih Lazaiz

“…We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive graphs. As a consequence, we obtain the ordered version of Caristi’s fixed point theorem. …”
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Two fixed-point theorems for mappings satisfying a general contractive condition of integral type by B. E. Rhoades

“…We establish two fixed-point theorems for mappings satisfying a general contractive inequality of integral type. …”
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Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition by Cristina Di Bari, Calogero Vetro

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Corrigendum to “Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations” by H. M. Srivastava, Sachin V. Bedre, S. M. Khairnar, B. S. Desale

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Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals by Benitha Wises Samuel, Gunaseelan Mani, Purushothaman Ganesh, Sabri T. M. Thabet, Imed Kedim

“…Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ-metric-type spaces. …”
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Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces by Aunyarat Bunyawat, Suthep Suantai

“…Some strong convergence theorems of the proposed method are also obtained for the following cases: all Ti are continuous and one of Ti is hemicompact, and the domain K is compact.…”
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Fixed point theorems for compatible mappings with applications to the solutions of functional equations arising in dynamic programmings by Nan-Jing Huang, Byung Soo Lee, Mee Kwang Kang

“…Some common fixed point theorems for compatible mappings are shown As an application, the existence and uniqueness of common solutions for a class of functional equations arising in dynamic programmings are discussed.…”
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Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem by Rita Chattopadhyay

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Study on Formula for Stable Hydraulic Geometry of Channel Based on π Theorem and Multiple Linear Regression by YAN Zhifang, JIA Yunfei

“…The influence parameters (Π₁ and Π₂) of the stable hydraulic geometry of the channel were found based on the dimensional analysis,namely π theorem.In addition,a set of calculation formulas for stable channel width B_R and stable channel depth h_R were proposed,with multiple linear regression conducted on 303 sets of sample data from prototype measurements and flume experiments.Yalin and da Silva methods were selected as standard methods to test and compare the formula in this paper,and the results show that the channel width and the channel depth calculated in the scatter plots with both methods are all close to the measured values.In general,the error indexes of the formula in this paper are slightly better than those of the Yalin and da Silva methods,while the difference between them is not significant in terms of the values of the error indexes.Therefore,it can be considered that the calculation accuracy of the two methods is equivalent,and the formula in this paper can be applied to engineering practice.…”
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Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application by Saif Ur Rehman, Muhammad Talha Waheed, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

“…Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem.…”
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On the classical limit of the (sub) n -leading soft graviton theorems in D = 4 without deflection by Samim Akhtar

“…Abstract Tree-level gravitational amplitudes satisfy an infinite hierarchy of soft factorization theorems. The existence of these theorems has been recently linked with the existence of an infinite tower of asymptotic symmetries. …”
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Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces by Erdal Karapınar, Wasfi Shatanawi, Zead Mustafa

“…We prove a number of quadruple fixed point theorems under 𝜙-contractive conditions for a mapping 𝐹∶𝑋4→𝑋 in ordered metric spaces. …”
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A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations by Mohamed Jleli, Mohammad Mursaleen, Kishin Sadarangani, Bessem Samet

“…We introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo’s theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations. …”
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Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps by Savita Rathee, Anil Kumar, Kenan Tas

“…A common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. …”
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A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces by Takanori Ibaraki, Shunsuke Kajiba, Yukio Takeuchi

“…Then, we apply the obtained results to prove a new weak convergence theorem.…”
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Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions by Shayma Adil Murad, Hussein Jebrail Zekri, Samir Hadid

“…Our analysis is based on an application of the Krasnosel'skii fixed-point theorem.…”
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Existence of Weak Solutions for a Sturm–Liouville Type System Using Critical Points Theorems by Saeid Shokooh, Amir Ali Shamlou

“…First, by using a three-critical-point theorem, we check the existence of at least three weak solutions for the problem, and then, by utilizing a local minimum theorem, we present sufficient conditions so that the existence of at least one nontrivial weak solution for the problem is guaranteed. …”
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