Results 101 to 110 of about 4,886,799 (272)

Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality

open access: yes, 2014
In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
semanticscholar   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

Bregman weak relatively nonexpansive mappings in Banach spaces

open access: yes, 2013
In this paper, we introduce a new class of mappings called Bregman weak relatively nonexpansive mappings and propose new hybrid iterative algorithms for finding common fixed points of an infinite family of such mappings in Banach spaces.
E. Naraghirad, Jen-Chih Yao
semanticscholar   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang   +2 more
wiley   +1 more source

On Multilevel Energy‐Based Fragmentation Methods

open access: yesInternational Journal of Quantum Chemistry, Volume 126, Issue 3, January 30, 2026.
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker   +2 more
wiley   +1 more source

Generalized Hyers-Ulam Stability of Quadratic Functional Inequality

open access: yesAbstract and Applied Analysis, 2013
We establish the general solution of the functional inequality and then investigate the generalized Hyers-Ulam stability of this inequality in Banach spaces and in non-Archimedean Banach spaces.
Hark-Mahn Kim   +2 more
doaj   +1 more source

Lorentz type spaces of ultrasmooth vectors of closed operators

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2012
Lorentz type spaces of ultrasmooth vectors of closed operators in Banach spaces are defined. Interpolation properties of such spaces are established and their application to the decision of problem of approaching of elements of Banach space is shown ...
M. I. Dmytryshyn, O. V. Lopushansky
doaj   +1 more source

${\mu}$- Integrable Functions and Weak Convergence of Finite Measures

open access: yes, 2018
This paper deals with functions that defined in metric spaces and valued in complete paranormed vector spaces or valued in Banach spaces, and obtains some necessary and sufficient conditions for weak convergence of finite measures.Comment: We generalize ...
Zeng, Renying
core  

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