•Journal•ISSN: 0161-1712
International Journal of Mathematics and Mathematical Sciences
Hindawi Publishing Corporation
About: International Journal of Mathematics and Mathematical Sciences is an academic journal published by Hindawi Publishing Corporation. The journal publishes majorly in the area(s): Banach space & Bounded function. It has an ISSN identifier of 0161-1712. It is also open access. Over the lifetime, 5052 publications have been published receiving 46407 citations. The journal is also known as: IJMMS.
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TL;DR: In this paper, a common fixed point theorem of S.L. and S.P. Singh is generalized by weakening commutativity hypotheses and by increasing the number of functions involved.
Abstract: A common fixed point theorem of S.L. and S.P. Singh is generalized by weakening commutativity hypotheses and by increasing the number of functions involved.
1,249 citations
TL;DR: In this article, the Dirichlet Laplacian operator −∆ on a curved quantum guide in R n (n = 2, 3) with an asymptotically straight reference curve was considered, and uniqueness results for the inverse problem associated to the reconstruction of the curvature by using either observations of spectral data or a boot-strapping method were given.
Abstract: In this paper, we consider the Dirichlet Laplacian operator −∆ on a curved quantum guide in R n (n = 2, 3) with an asymptotically straight reference curve. We give uniqueness results for the inverse problem associated to the reconstruction of the curvature by using either observations of spectral data or a boot-strapping method. keywords: Inverse Problem, Quantum Guide, Curvature
1,148 citations
TL;DR: In this paper, the authors answer a question of Th. M. Rassias concerning an extension of validity of his result proved in [3] and [4], and present an answer to this question.
Abstract: In this paper we answer a question of Th. M. Rassias concerning an extension of validity of his result proved in [3].
751 citations
TL;DR: In this paper, the authors deal with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractional derivatives and integrals, and model of neurons in biology.
Abstract: 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. Special attention is given to numerical computation of
fractional derivatives and integrals.
617 citations
TL;DR: In this paper, the existence of fixed points for mappings defined on metric spaces satisfying a general contractiveINEquality of integral type was analyzed, and it was shown that fixed points can be found for any mapping f : X → X for which there exists a real number of φ (t ) d t > 0.
Abstract: We analyze the existence of fixed points for mappings defined on
complete metric spaces ( X , d ) satisfying a general contractive
inequality of integral type. This condition is analogous to
Banach-Caccioppoli's one; in short, we study mappings f : X → X for which there exists a real number
c ∈ ] 0 , 1 [ , such that for each x , y ∈ X we have
∫ 0 d ( f x , f y ) φ ( t ) d t ≤ c ∫ 0 d ( x , y ) φ ( t ) d t , where φ : [ 0 , + ∞ [ → [ 0 , + ∞ ] is a Lebesgue-integrable mapping which is summable on each compact
subset of [ 0 , + ∞ [ , nonnegative and such that for each
0$" id="E8" xmlns:mml="http://www.w3.org/1998/Math/MathML"> e > 0 , 0$" id="E9" xmlns:mml="http://www.w3.org/1998/Math/MathML"> ∫ 0 e φ ( t ) d t > 0 .
482 citations