Results 21 to 30 of about 621,582 (323)

Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings

Fixed Point Theory and Algorithms for Sciences and Engineering, 2022
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework of p-vector spaces, in particular, for locally p-convex spaces for 0 < p ≤ 1 $0 < p \leq 1$ .
George Xianzhi Yuan
doaj   +1 more source

An introduction to non-smooth convex analysis via multiplicative derivative

Journal of Taibah University for Science, 2019
In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
doaj   +1 more source

New Generalized Riemann–Liouville Fractional Integral Versions of Hadamard and Fejér–Hadamard Inequalities

Journal of Mathematics, 2022
In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon, Ghulam Farid, Ammara Nosheen, Muhammad Yussouf, Ebenezer Bonyah   +4 more
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Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

A class of degenerate elliptic eigenvalue problems

Advances in Nonlinear Analysis, 2013
We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable.
Lucia Marcello, Schuricht Friedemann
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Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces

, 2008
Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$.
Benyamini, Chapman, Chapman, Chigogidze, Chigogidze, Dranishnikov, Dušan Repovš, Lidia Bazylevych, Michael, Michael Zarichnyi, Montejano, Nadler, Nykyforchyn, Pinsker, Shchepin, Shchepin, Toruńczyk, Zarichnyi   +17 more
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A convex approach to hydrodynamic analysis [PDF]

2015 54th IEEE Conference on Decision and Control (CDC), 2015
Preliminary version submitted to 54rd IEEE Conference on Decision and Control, Dec.
Ahmadi, Mohamadreza, Valmorbida, Giorgio, Papachristodoulou, Antonis   +2 more
openaire   +2 more sources

Cardinality-constrained structured data-fitting problems

Open Journal of Mathematical Optimization
A memory-efficient solution framework is proposed for the cardinality-constrained structured data-fitting problem. Dual-based atom-identification rules reveal the structure of the optimal primal solution from near-optimal dual solutions, which allows for
Fan, Zhenan, Fang, Huang, Friedlander, Michael P.   +2 more
doaj   +1 more source

Dual ${M}$ -Convex Variable Subsets Family and Extremum Analysis for the OPF Problem

IEEE Access, 2018
The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
doaj   +1 more source

Hyperbolic Polynomials and Convex Analysis [PDF]

Canadian Journal of Mathematics, 2001
AbstractA homogeneous real polynomialpishyperbolicwith respect to a given vector d if the univariate polynomial t ⟼ p(x − td) has all real roots for all vectorsx. Motivated by partial differential equations, Gårding proved in 1951 that the largest such root is a convex function ofx, and showed various ways of constructing new hyperbolic polynomials. We
Bauschke, Heinz H., Güler, Osman, Lewis, Adrian S., Sendov, Hristo S.   +3 more
openaire   +1 more source