Results 81 to 90 of about 2,732 (239)

Automatic Continuity of Lipschitz Algebras

Journal of Functional Analysis, 1995
If \(\{A_\alpha\}\) is a parametrized family of Banach algebras, for which ...
openaire   +2 more sources

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Hoffman’s Error Bounds and Uniform Lipschitz Continuity of Best l(p) -Approximations [PDF]

, 1997
In a central paper on smoothness of best approximation in 1968 R. Holmes and B. Kripke proved among others that on ℝn, endowed with the lρ-norm, 1\u3c p \u3c ∞, the metric projection onto a given linear subspace is Lipschitz continuous where the ...
Finzel, M., Li, W., Xu, Y., Berens, H.
core   +2 more sources

On Proportional Caputo-Hybrid Fractional Milne-Type Inequalities: Theory, Numerical Simulations, and Applications

Axioms
The goal of this study is to establish a new type of Milne-type inequality in the scope of fractional calculus with the aid of proportional Caputo-hybrid operators.
Mariem Al-Hazmy, Yazeed Alkhrijah, Wedad Saleh, Borhen Louhichi, Badreddine Meftah   +4 more
doaj   +1 more source

Weighted Lp-Inequalities for the Dunkl Transform

Journal of Mathematics, 2014
We give, for ...
Chokri Abdelkefi, Faten Rached
doaj   +1 more source

A class of strongly convergent subgradient extragradient methods for solving quasimonotone variational inequalities

Demonstratio Mathematica, 2023
The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur, Kumam Poom, Ozdemir Murat, Yildirim Isa, Kumam Wiyada   +4 more
doaj   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in L1 [PDF]

, 1991
The relations between the lower semicontinuity of the metric projection PG onto a finite-dimensional subspace G of L1, the Lipschitz continuity of PG, the existence of continuous selections for PG, and uniform strong uniqueness of PG are studied.
Li, Wu, Deutsch, Frank
core   +1 more source

Controllability of semilinear systems with fixed delay in control [PDF]

Opuscula Mathematica, 2015
In this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under
Surendra Kumar, N. Sukavanam
doaj   +1 more source

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source