Results 61 to 70 of about 434 (146)

Fine properties of monotone maps arising in optimal transport for non-quadratic costs

Analysis and Geometry in Metric Spaces
The cost functions considered are c(x,y)=h(x−y)c\left(x,y)=h\left(x-y), where h∈C2(Rn)h\in {C}^{2}\left({{\mathbb{R}}}^{n}) is homogeneous of degree p≥2p\ge 2 with a positive definite Hessian in the unit sphere.
Gutiérrez Cristian E., Montanari Annamaria   +1 more
doaj   +1 more source

Fitzpatrick transform of monotone relations in Hadamard spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In the present paper, monotone relations and maximal monotone relations from an Hadamard space to its linear dual space are investigated. Fitzpatrick transform of monotone relations in Hadamard spaces is introduced. It is shown that Fitzpatrick transform
Moslemipour A., Roohi M., Mardanbeigi M. R., Azhini M.   +3 more
doaj   +1 more source

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-ϕ-nonexpansive mappings

, 2011
In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the set of common fixed points for a ...
S. Saewan, Poom Kumam
semanticscholar   +1 more source

Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities

, 2013
This article aims to deal with a new modified iterative projection method for solving a hierarchical fixed point problem. It is shown that under certain approximate assumptions of the operators and parameters, the modified iterative sequence {xn ...
Yuanheng Wang, W. Xu
semanticscholar   +1 more source

On the Rockafellar function associated to a non-cyclically monotone mapping

, 2019
In an earlier paper, we have given a definition of the Rockafellar integration function associated to a cyclically monotone mapping considering only systems of distinct elements in its domain.
PRECUPANU, Teodor
core   +1 more source

Solutions for a variational inclusion problem with applications to multiple sets split feasibility problems

, 2013
In this paper, we first study the set of common solutions for two variational inclusion problems in a real Hilbert space and establish a strong convergence theorem of this problem.
Lai-Jiu Lin, Yewang Chen, Chih-Sheng Chuang   +2 more
semanticscholar   +1 more source

A New Third-Order Iteration Method for Solving Nonlinear Equations

Open Journal of Mathematical Analysis, 2018
In this paper, we establish a two step third-order iteration method for solving nonlinear equations. The efficiency index of the method is 1.442 which is greater than Newton-Raphson method.
M. Saqib, Zain Majeed, M. Quraish, W. Nazeer   +3 more
semanticscholar   +1 more source

Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces

, 2014
An iterative algorithm is introduced for the construction of the minimum-norm fixed point of a pseudocontraction on a Hilbert space. The algorithm is proved to be strongly convergent.MSC:47H05, 47H10, 47H17.
Yonghong Yao, G. Marino, Hong-Kun Xu, Y. Liou   +3 more
semanticscholar   +1 more source

Iterative algorithms for common elements in fixed point sets and zero point sets with applications

, 2012
In this study, Mann-type iterative process is considered for finding a common element in the fixed point set of strict pseudocontractions and in the zero point set of the operator which is the sum of inverse strongly- monotone operators and maximal ...
Mingliang Zhang
semanticscholar   +1 more source

Multivalued elliptic operators with nonstandard growth

Advances in Nonlinear Analysis, 2018
The paper is devoted to the Dirichlet problem for monotone, in general multivalued, elliptic equations with nonstandard growth condition. The growth conditions are more general than the well-known p⁢(x){p(x)} growth.
Avci Mustafa, Pankov Alexander
doaj   +1 more source