Preliminary study of muscle contraction assessment by NIR spectroscopy [PDF]
, 1998 NIR spectroscopy allows monitoring of muscle oxygenation and perfusion during contraction. The knowledge of modifications of blood characteristics in body tissues has relevant clinical interest. A compact and reliable device, which makes use of two laser
Pavesi, Roberto +6 more
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Generalized contraction principle
International Journal of Mathematics and Mathematical Sciences, 1983 Fixed point theorems are proved for contraction maps on M-convex spaces.
Dipak Chatterjee
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Krasnoselskii's theorem in generalized Banach spaces and application
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators.
I. R. Petre, Adrian Petrusel
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A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle
Fixed Point Theory and Applications, 2004 We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.
Jacek Jachymski
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A generalization of contraction principle
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping.
K. M. Ghosh
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Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions [PDF]
Opuscula Mathematica, 2013 This paper studies the boundary value problem of nonlinear fractional differential equations and inclusions of order \(q \in (1,2]\) with nonlocal and integral boundary conditions.
Sotiris K. Ntouyas
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Generalizations of Banach's contraction principle and Kannan and Chatterjea's theorems for cyclic and non-cyclic mappings [PDF]
Journal of Mahani Mathematical Research, 2023 Two interesting extensions of Banach contraction principle to mappings that don't to be continuous, are Kannan and Chatterjea's theorems. Before this, in the cyclical form, extensions of these two theorems and Banach contraction principle were ...
Akram Safari-Hafshejani
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Some fixed point results in complete generalized metric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2018 The Banach contraction principle is the most important result. This principle has many applications and some authors was interested in this principle in various metric spaces as Brianciari.
S.M. Sangurlu, D. Turkoglu
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The contraction mapping principle [PDF]
, 1986 In the world of mathematics, it is often necessary to approximate the solution to a problem by using an iterative method. One such method, not totally dependent on the initial guess, is the contraction mapping method.
Rosenbloom, Elaine
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On Jungck–Branciari–Wardowski Type Fixed Point Results
Mathematics, 2021 The terms of F−integral contraction as well as (ϖ,ζ˜,F,i)−integral contraction are introduced. Fixed point and common fixed point theorems are established. For the mapping F we use only the supposition that it is strictly increasing.
Biljana Carić +4 more
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