On Fixed Point Results in Controlled Metric Spaces by Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Hassen Aydi, Manuel De la Sen

“…In this article, we introduce Reich type contractions and (α,F)-contractions in the class of controlled metric spaces and establish some new related fixed point theorems. Our results are generalizations of some known results of literature. Some examples and certain consequences are given to illustrate significance of presented results.…”
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Well-posedness characterizations for system of mixed hemivariational inequalities by Kartikeswar Mahalik, Chandal Nahak

“…In this paper, we concern with the concept of well-posedness and well-posedness in generalized sense for a system of mixed hemivariational inequality (SMHVI) with perturbations. …”
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A commutativity theorem for left s-unital rings by Hamza A. S. Abujabal

“…In this paper we generalize some well-known commutativity theorems for associative rings as follows: Let R be a left s-unital ring. …”
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Recent applications of fractional calculus to science and engineering by Lokenath Debnath

“…This paper deals with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelasticity, fractional-order multipoles in electromagnetism, electrochemistry, tracer in fluid flows, and model of neurons in biology. …”
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Some Inequalities for Multiple Integrals on the n-Dimensional Ellipsoid, Spherical Shell, and Ball by Yan Sun, Hai-Tao Yang, Feng Qi

“…The authors establish some new inequalities of Pólya type for multiple integrals on the n-dimensional ellipsoid, spherical shell, and ball, in terms of bounds of the higher order derivatives of the integrands. These results generalize the main result in the paper by Feng Qi, Inequalities for a multiple integral, Acta Mathematica Hungarica (1999).…”
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Grammatical case in the text of Revelation 4 and 5 by S. J. P. K. Riekert

“… It is generally assumed that the Greek case system does not function in the usual way in the book of Revelation. …”
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Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance by Zhigang Hu, Wenbin Liu, Jiaying Liu

“…A new result on the existence of solutions for the fractional boundary value problem is obtained, which generalizes and enriches some known results to some extent from the literature.…”
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Rapid Convergence of Approximate Solutions for Fractional Differential Equations by Xiran Wu, Junyan Bao, Yufeng Sun

“…In this paper, we develop a generalized quasilinearization technique for a class of Caputo’s fractional differential equations when the forcing function is the sum of hyperconvex and hyperconcave functions of order m (m≥0), and we obtain the convergence of the sequences of approximate solutions by establishing the convergence of order k (k≥2).…”
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A New Type Fuzzy Module over Fuzzy Rings by Ece Yetkin, Necati Olgun

“…A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee’s definition of the fuzzy group and Aktaş and Çağman’s definition of fuzzy ring. …”
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Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem by Kitila Wirtu Geleta, Kidane Koyas Tola, Solomon Gebregiorgis Teweldemedhin

“…Our result extends and generalizes comparable results in the existing literature. …”
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Some Fixed Point Results for TAC-Type Contractive Mappings by Sumit Chandok, Kenan Tas, Arslan Hojat Ansari

“…Our results extend, generalize, and improve some well-known results from literature. …”
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The K Extended Laguerre Polynomials Involving Aαr,n,kxFr r,r>2 by Adnan Khan, M. Haris Mateen, Ali Akgül, Md. Shajib Ali

“…In this manuscript, we present the generalized hypergeometric function of the type Fr r,r>2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials Ar,n,kαx. …”
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Ulam-Hyers Stability for MKC Mappings via Fixed Point Theory by Anisa Mukhtar Hassan, Erdal Karapınar, Hamed H. Alsulami

“…Further, we state and prove that our main results improved the related results in the frame of generalized Ulam-Hyers stability theory.…”
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Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative by Xiaofei Li, Deng Ding, Liping Xu, Chuan Qin, Songbo Hu

“…In this paper, we define and study some subclasses of multivalent analytic functions of higher order in the unit disc. These classes generalize some classes previously studied. We obtain coefficient inequalities, distortion theorems, extreme points, and integral mean inequalities. …”
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Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform by Ahmed Chana, Abdellatif Akhlidj

“…We then introduce the notion of a Laguerre-Bessel two-wavelet and present generalized versions of Parseval's, inversion and  Calder\'on's type reproducing formulas related to this transform.…”
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(Quasi)-uniformities on the set of bounded maps by Basil K. Papadopoulos

“…In the present paper we generalize results as the above using (quasi)-uniform structures.…”
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New Fixed Point Results of Single-Valued Mapping for c-Distance in Cone Metric Spaces by Zaid Mohammed Fadail, Abd Ghafur Bin Ahmad, Ljiljana Paunović

“…The aim of this paper is to extend and generalize some fixed point results in literature for c-distance in cone metric spaces by replacing the constants in contractive conditions with functions. …”
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Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups by Huani Qin, Yueping Jiang, Wensheng Cao

“…As an application, we prove that if the r-generator quaternionic Kleinian group satisfies I-condition, then its algebraic limit is also a quaternionic Kleinian group. Our results are generalizations of the counterparts in the n-dimensional real hyperbolic space.…”
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Coefficient Estimates for Some Classes of Biunivalent Function Associated with Jackson q-Difference Operator by Ekram E. Ali, Abdel Moneim Lashin, Abeer M. Albalahi

“…Furthermore, we estimate the initial Taylor-Maclaurin coefficients a2 and a3 of functions belonging to these new subclasses. Our results generalize some of the previously related works of several authors.…”
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On a Special Form of (h)  hν-Torsion Tensor Pijk in Finsler Space by Brijesh Kumar Tripathi, K. B. Pandey

“…A special form of (h) hν-torsion tensor was introduced which may be considered generalization of P⁎-Finsler space and P-reducible Finsler space and then some properties of this space were studied. …”
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