Results 31 to 40 of about 234 (166)

On Fréchet differentiability of Lipschitzian functions on spaces with gaussian measures [PDF]

Doklady Mathematics, 2007
There is a Borel function \(f\) on \({\mathbb R}^{\infty}\) that is Lipschitz with constant~1 along the Cameron-Martin space such that the set of points of Fréchet differentiablity along \(H\) for \(f\) has \(\gamma\)-measure zero, where \(\gamma\) is the standard Gaussian product measure on~\({\mathbb R}^{\infty}\).
V. Bogachev, PRIOLA, Enrico, N. A. Tolmachev   +2 more
openaire   +2 more sources

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

A Two-Step Inertial Primal-Dual Algorithm for Minimizing the Sum of Three Functions

IEEE Access, 2019
In this paper, we introduce a two-step inertial primal-dual algorithm (TSIPD) for solving the minimizations of the sum a smooth function with Lipschitzian gradient and two non-smooth convex functions with linear operators.
Meng Wen, Yuchao Tang, Zhiwei Xing, Jigen Peng   +3 more
doaj   +1 more source

Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali, Serena Matucci, Paola Rubbioni   +2 more
wiley   +1 more source

Common fixed point theorems for semigroups on metric spaces

International Journal of Mathematics and Mathematical Sciences, 1999
This paper consists of two main results. The first one shows that if S is a left reversible semigroup of selfmaps on a complete metric space (M,d) such that there is a gauge function φ for which d(f(x),f(y))≤φ(δ(Of (x,y))) for f∈S and x,y in M, where δ ...
Young-Ye Huang, Chung-Chien Hong
doaj   +1 more source

Tropical analysis: With an application to indivisible goods

Theoretical Economics, Volume 20, Issue 3, Page 815-829, July 2025.
We establish the subgradient theorem for monotone correspondences: a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e., its integral along a closed path vanishes irrespective of the selection from the correspondence along the path.
Nicholas C. Bedard, Jacob K. Goeree
wiley   +1 more source

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

Fractal and Fractional
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +3 more
doaj   +1 more source

General Decay and Blowing‐Up Solutions of a Nonlinear Wave Equation With Nonlocal in Time Damping and Infinite Memory

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9046-9057, 30 May 2025.
ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane, Radhouane Aounallah, Lotfi Jlali   +2 more
wiley   +1 more source

Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

Fractal and Fractional
In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for ...
Areej A. Almoneef, Abd-Allah Hyder, Mohamed A. Barakat, Hüseyin Budak   +3 more
doaj   +1 more source

Necessary and Sufficient Condition for Mann Iteration Converges to a Fixed Point of Lipschitzian Mappings

Journal of Applied Mathematics, 2012
Suppose that E is a real normed linear space, C is a nonempty convex subset of E, T:C→C is a Lipschitzian mapping, and x*∈C is a fixed point of T. For given x0∈C, suppose that the sequence {xn}⊂C is the Mann iterative sequence defined by xn+1=(1-αn)xn ...
Chang-He Xiang, Jiang-Hua Zhang, Zhe Chen   +2 more
doaj   +1 more source