Results 61 to 70 of about 281 (199)

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

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

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

Constraint qualification in a general class of nondifferentiable mathematical programming problems [PDF]

, 2007
The Kuhn–Tucker type necessary optimality conditions are given for the problem of minimizing a local Lipschitzian function subject to a set of differentiable nonlinear inequalities on a convex subset C of Rn, under the conditions of the generalized Kuhn ...
Xu, Zengkun, Li, Cheng, Zheng, Xiaojin
core   +1 more source

Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

Fractal and Fractional
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş, Fatih Hezenci, Hüseyin Budak   +2 more
doaj   +1 more source

Newton‐Type Inequalities in the Context of Generalized Fractional Integrals via Several Function Classes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate some new Newton‐type inequalities involving generalized fractional integrals by using different function classes. For this aim, we first prove an identity for differentiable functions. Then, by this equality, we prove several Newton‐type inequalities for the function classes such as convex functions, bounded functions ...
İrem Çay, Hüseyin Budak, İrem Bağlan, Ercan Çelik, Smritijit Sen   +4 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

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

Adaptive Image Thresholding of Yellow Peppers for a Harvesting Robot

Robotics, 2018
The presented work is part of the H2020 project SWEEPER with the overall goal to develop a sweet pepper harvesting robot for use in greenhouses. As part of the solution, visual servoing is used to direct the manipulator towards the fruit.
Ahmad Ostovar, Ola Ringdahl, Thomas Hellström   +2 more
doaj   +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