Results 31 to 40 of about 231 (170)

On the experimental investigation of Pareto–Lipschitzian optimization

Lietuvos Matematikos Rinkinys, 2011
A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Justas Stašionis
doaj   +1 more source

Enriched (f, ϕ, ψ, s)‐Functional Contractions and Stability of Nonlinear Volterra Integral and Fractional Differential Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we develop a comprehensive analytical framework for generalized nonlinear, nonhomogeneous Volterra integral equations and fractional differential equations in b‐metric spaces equipped with amorphous binary relations. By introducing an enriched (f, ϕ, ψ, s)‐functional contraction, we extend classical contractive conditions to accommodate ...
D. Srinivasan, D. Ramesh Kumar, Xinan Hao   +2 more
wiley   +1 more source

Efficient Lipschitzian Global Optimization of Hölder Continuous Multivariate Functions

CoRR, 2023
This study presents an effective global optimization technique designed for multivariate functions that are Hölder continuous. Unlike traditional methods that construct lower bounding proxy functions, this algorithm employs a predetermined query creation rule that makes it computationally superior.
Kaan Gökcesu, Hakan Gökcesu
openaire   +2 more sources

A Generalized and Refined Perturbed Version of Ostrowski Type Inequalities

International Journal of Analysis and Applications, 2017
In this paper, we first obtain a new identity for twice differentiable mappings. Then, we establish generalized and improved perturbed version of Ostrowski type inequalities for functions whose derivatives are of bounded variation or second derivatives ...
M. Z. Sarikaya, H. Budak, S. Erden, A. Qayyum   +3 more
doaj   +2 more sources

On Lipschitzian operators of substitution generated by set-valued functions [PDF]

Opuscula Mathematica, 2007
We consider the Nemytskii operator, i.e., the operator of substitution, defined by \((N \phi)(x):=G(x,\phi(x))\), where \(G\) is a given multifunction. It is shown that if \(N\) maps a Hölder space \(H_{\alpha}\) into \(H_{\beta}\) and \(N\) fulfils the ...
Jakub Jan Ludew
doaj  

Existence of Hydra Effect in a Three‐Species Food Chain Mathematical Model With General Holling Type Response Functions

Natural Resource Modeling, Volume 38, Issue 4, November 2025.
ABSTRACT This study explores existence of hydra effect and sustainable harvesting strategies in three species food chain system with all‐purpose Holling type response functions (HT‐I, II, III, and IV). The hydra effect (as mentioned in Sieber and Hilker 2012) is superficially ecological paradox which refers to an increase of a species population size ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo   +2 more
wiley   +1 more source

New Inequality for L-Lipschitzian Functions and Applications

Journal of Science and Technology, 2021
This article gives a really vital and curiously inequality on Jain-Saraswat’s functional discrimination in terms of the Hellinger discrimination and Bhattacharya discrimination by taking into thoughtL-Lipschitzian functions. Encourage, we outlined a few vital results by utilizing the inferred inequality with numerical ...
openaire   +1 more source

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

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

Banach algebras of ultrametric Lipschitzian functions

, 2018
We examine Banach algebras of bounded uniformly continuous functions and particularly Lipschitzian functions from an ultrametric space IE to a complete ultrametric field IK: prime and maximal ideals, multiplicative spectrum, Shilov boundary and topological divisors of zero. We get a new compactification of IE similar to the Banaschewski's one and which
Chicourrat, Monique, Escassut, Alain
openaire   +2 more sources