Asymptotic Behavior of Solutions for the Cauchy Problem of a Dissipative Boussinesq-Type Equation [PDF]
, 2017 We consider the Cauchy problem for an evolution equation modeling bidirectional surface waves in a convecting fluid. Under small condition on the initial value, the existence and asymptotic behavior of global solutions in some time weighted spaces are ...
Esfahani, Amin, Mohammadi, Hamideh B.
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Output-Feedback Control of Nonlinear Systems using Control Contraction Metrics and Convex Optimization [PDF]
, 2014 Control contraction metrics (CCMs) are a new approach to nonlinear control design based on contraction theory. The resulting design problems are expressed as pointwise linear matrix inequalities and are and well-suited to solution via convex optimization.
Manchester, Ian R. +1 more
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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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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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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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Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields [PDF]
, 2014 We construct a two-dimensional action principle invariant under a spin-three extension of BMS$_3$ group. Such a theory is obtained through a reduction of Chern-Simons action with a boundary.
Gonzalez, Hernan A., Pino, Miguel
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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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Some variants of Ćirić’s multi-valued contraction principle
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 In this article, a study of the fixed point problem for Ćirić type multi-valued operators is presented. More precisely, some variants ofĆirić’s contraction principle for multi-valued operators, as well as a strict fixed point principle forĆirić type ...
Alecsa Cristian Daniel, Petruşel Adrian
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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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