Results 21 to 30 of about 496,079 (237)

Lipschitz-type conditions on homogeneous Banach spaces of analytic functions

open access: yesJournal of Mathematical Analysis and Applications, 2017
Let \(\mathcal H(\mathbb D)\) be the space of all analytic functions on the unit disk \(\mathbb D \subset \mathbb C\) with the topology of uniform convergence on compact subsets of \(\mathbb D\).
Oscar Blasco, Georgios Stylogiannis
openaire   +1 more source

Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontinuities are of non-Lipschitz type.
Lihong Xing, Donghua Qiu, Zhaowen Zheng
doaj   +1 more source

ON GENERALIZATIONS OF INTEGRAL INEQUALITIES

open access: yesПроблемы анализа, 2022
In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the ...
J. E. Nάpoles   +2 more
doaj   +1 more source

Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces [PDF]

open access: yes, 2018
[EN] The semilocal convergence of double step Secant method to approximate a locally unique solution of a nonlinear equation is described in Banach space setting. Majorizing sequences are used under the assumption that the first-order divided differences
Abhimanyu Kumar   +7 more
core   +1 more source

The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]

open access: yes, 2011
Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Existence and global asymptotic behavior of S-asymptotically periodic solutions for fractional evolution equation with delay

open access: yesNonlinear Analysis, 2023
This paper discusses the S-asymptotically periodic problem of fractional evolution equation with delay. By introducing a new noncompact measure theory involving infinite interval, we study the existence of S-asymptotically periodic mild solutions under ...
Qiang Li, Lishan Liu, Xu Wu
doaj   +1 more source

Convergence conditions for Secant-type methods [PDF]

open access: yes, 2004
summary:We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-
Argyros, Ioannis K   +2 more
core   +1 more source

Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities

open access: yesJournal of Function Spaces, 2021
The primary objective of this study is to introduce two novel extragradient-type iterative schemes for solving variational inequality problems in a real Hilbert space.
Chainarong Khunpanuk   +2 more
doaj   +1 more source

Stochastic monotonicity and duality for one-dimensional Markov processes [PDF]

open access: yes, 2011
The theory of monotonicity and duality is developed for general one-dimensional Feller processes, extending the approach from [11]. Moreover it is shown that local monotonicity conditions (conditions on the Lévy kernel) are sufficient to prove the well-
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains

open access: yes, 2002
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea   +3 more
core   +1 more source

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