Results 21 to 30 of about 1,267,876 (189)
Advances in Difference Equations, 2018 In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone ...
Peiguo Zhang, Xinan Hao
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Boundary controllability of impulsive nonlinear fractional delay integro-differential system
Cogent Engineering, 2016 By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
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A new generalization of the Banach contraction principle [PDF]
Journal of Inequalities and Applications, 2014 Denote by \(\Theta\) the class of all functions \(\theta:(0,\infty)\to (1,\infty)\) satisfying \begin{itemize} \item[(i)] \(\theta\) is non-decreasing, \item[(ii)] \(\theta(t_n)\to 1\) if and only if \(t_n\to 0\), \item[(iii)] \(\exists r\in (0,1)\), \(\exists s\in (0,\infty]\), such that \(\lim_{t\to 0+}(\theta(t)-1)/(t^r)=s\).
Jleli, Mohamed, Samet, Bessem
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Abstract and Applied Analysis, 2014 We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called α-λ-contraction mapping.
Marwan Amin Kutbi, Wutiphol Sintunavarat
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Demonstratio Mathematica, 2015 In the present paper, we investigate the existence, uniqueness and continuous dependence of mild solutions of an impulsive neutral integro-differential equations with nonlocal condition in Banach spaces. We use Banach contraction principle and the theory
Jain Rupali S., Dhakne M. B.
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Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces
Abstract and Applied Analysis, 2013 We establish some new existence theorems on the positive solutions for nonlinear integro-differential equations which do not possess any monotone properties in ordered Banach spaces by means of Banach contraction mapping principle and cone theory based ...
Yan Sun
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Fixed-Point Theorems for θ−ϕ-Contraction in Generalized Asymmetric Metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2020 In the last few decades, a lot of generalizations of the Banach contraction principle had been introduced. In this paper, we present the notion of θ-contraction and θ−ϕ-contraction in generalized asymmetric metric spaces to study the existence and ...
Abdelkarim Kari +4 more
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A Fixed Point Theorem In 2-Banach Space For Banach Contraction Principle [PDF]
, 2016 In This Paper we prove An Extension of Banach contraction principle through rational expression in 2-Banach space satisfying Three continuous mappings . Some result with S. banach (1922).
Priyanka Tyagi, Geeta Modi
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Further generalizations of the Banach contraction principle [PDF]
Journal of Inequalities and Applications, 2014 AbstractWe establish a new fixed point theorem in the setting of Branciari metric spaces. The obtained result is an extension of the recent fixed point theorem established in Jleli and Samet (J. Inequal. Appl. 2014:38, 2014).
Jleli, Mohamed +2 more
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Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]
, 2002 For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels J.
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