On Generalized Carleson Operators of Periodic Wavelet Packet Expansions by Shyam Lal, Manoj Kumar

“…Three new theorems based on the generalized Carleson operators for the periodic Walsh-type wavelet packets have been established. …”
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On Caristi Type Maps and Generalized Distances with Applications by Wei-Shih Du

“…We prove some new existence theorems of fixed points for Caristi type maps and some suitable generalized distances without lower semicontinuity assumptions on dominated functions. …”
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Random sums of random vectors and multitype families of productive individuals by I. Rahimov, H. Muttlak

“…We prove limit theorems for a family of random vectors whose coordinates are a special form of random sums of Bernoulli random variables. …”
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Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm by M. L. Mittal, Mradul Veer Singh

“…We prove two Theorems on approximation of functions belonging to Lipschitz class Lip(α,p) in Lp-norm using Cesàro submethod. …”
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Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results by N. Hussain, E. Karapınar, S. Sedghi, N. Shobkolaei, S. Firouzian

“…Moreover, some examples are provided to demonstrate the usability of the proved theorems.…”
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Weakly closed multifunctions and paracompactness by Cao Ji-Ling

“…These theorems are generalizations of some results due to Kovaćević and Singal.…”
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Caristi Type Selections of Multivalued Mappings by Calogero Vetro, Francesca Vetro

“…Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. …”
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Les mouvements dans l'espace L2 by Algimantas Pranas Urbonas

“… On a démontré Théorème 1. Il n'existe les espaces L2 à connexion linéaire ayant le groupe des mouvements de 5 paramètres. …”
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Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces by Nabil Mlaiki, Ufuk Çelik, Nihal Taş, Nihal Yilmaz Özgür, Aiman Mukheimer

“…In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, ψ-contractive, and weakly ψ-contractive self-mappings. …”
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Positive Solutions for the Initial Value Problem of Fractional Evolution Equations by He Yang, Yue Liang

“…Some existence theorems are obtained under the case that the analytic semigroup is compact and noncompact, respectively. …”
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Generalized classes of starlike and convex functions of order α by Shigeyoshi Owa, C. Y. Shen

“…We then proved some subordination theorems, argument theorems, and various results of modified Hadamard product for functions belonging to these classes. …”
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Edge Theoretic Extended Contractions and Their Applications by R. Rajagopalan, Ekta Tamrakar, Fahad. S. Alshammari, H. K. Pathak, Reny George

“…Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. …”
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Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions by S. Nageswara Rao, Ahmed Hussein Msmali, Manoj Singh, Abdullah Ali H. Ahmadini

“…Our results are based on some classical fixed point theorems such as Banach contraction mapping principle, Leray-Schauder fixed point theorems. …”
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On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in D-metric spaces by B. C. Dhage, A. Jennifer Asha, S. M. Kang

“…The present paper studies some common fixed-point theorems for pairs of a single-valued and a multivalued coincidentally commuting mappings in D-metric spaces satisfying a certain generalized contraction condition. …”
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PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings by Ljubomir Ćirić, Saud M. Alsulami, Peyman Salimi, Pasquale Vetro

“…Several interesting consequences of our theorems are also given.…”
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Consistency Degrees of Theories in Łukasiewicz Fuzzy and n-Valued Propositional Logic Systems by Jiancheng Zhang

“…By means of theory of truth degrees of formulas, according to deduction theorems and completeness theorems, the new concepts of consistency degrees and polar index for general theories in Łukasewicz fuzzy and n-valued propositional logic systems are introduced. …”
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Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications by Amer Hassan Albargi

“…The aim of this paper is to define generalized rational contractions in the setting of graphical b-metric spaces and obtain some fixed-point theorems. Our results are significant generalizations and extensions of some well-known results in the existing theory. …”
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Close-to-starlike logharmonic mappings by Zayid Abdulhadi

“…Such mappings will be called close-to-starlike logharmonic mappings. Representation theorems and distortion theorems are obtained. Moreover, we determine the radius of univalence and starlikeness of these mappings.…”
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Algorithms for a System of General Variational Inequalities in Banach Spaces by Jin-Hua Zhu, Shih-Sen Chang, Min Liu

“…Under suitable conditions, some existence theorems and approximation solvability theorems are proved. …”
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Nonlinear random operator equations and inequalities in Banach spaces by Antonios Karamolegos, Dimitrios Kravvaritis

“…In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. …”
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