Results 41 to 50 of about 401 (106)

Convergence theorems for common solutions of various problems with nonlinear mapping

Journal of Inequalities and Applications, 2014
In this paper, motivated and inspired by Zegeye and Shahzad (Nonlinear Anal. 70:2707-2716, 2009), Qin et al. (J. Comput. Appl. Math. 225(1):20-30, 2009) and Kimura and Takahashi (J. Math. Anal. Appl.
Kyung Soo Kim, J. Kim, W. H. Lim
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

Generalized viscosity approximation methods for nonexpansive mappings

Fixed Point Theory and Applications, 2014
We combine a sequence of contractive mappings {fn} and propose a generalized viscosity approximation method. One side, we consider a nonexpansive mapping S with the nonempty fixed point set defined on a nonempty closed convex subset C of a real Hilbert ...
Peichao Duan, Songnian He
semanticscholar   +1 more source

Dynamic Hardy-type inequalities with non-conjugate parameters

Alexandria Engineering Journal, 2020
Within this paper, we derive entire series of new Hilbert and Hardy-Hilbert form integral inequalities with non-conjugate exponents on time scales. Firstly, we demonstrate and discuss two general equivalent inequalities of this type, as well as their ...
Ghada AlNemer, M. Zakarya, H.A. Abd El-Hamid, M.R. Kenawy, H.M. Rezk   +4 more
doaj  

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

Existence of projected solutions for quasi-variational hemivariational inequality

Demonstratio Mathematica
In this short article, we prove the existence of projected solutions to a class of quasi-variational hemivariational inequalities with non-self-constrained mapping, which generalizes the results of Allevi et al.
Guan Fei, Cen Jinxia, Chen Boling, Yao Jen-Chih   +3 more
doaj   +1 more source

An iterative method for common solutions of equilibrium problems and hierarchical fixed point problems

, 2014
The purpose of this paper is to investigate the problem of finding an approximate point of the common set of solutions of an equilibrium problem and a hierarchical fixed point problem in the setting of real Hilbert spaces.
A. Bnouhachem, S. Al-Homidan, Q. Ansari
semanticscholar   +1 more source

Almost Metric Versions of Zhong's Variational Principle [PDF]

arXiv, 2010
A refinement of Zhong's variational principle [Nonlin. Anal., 29 (1997), 1421-1431] is given, in the realm of almost metric structures. Applications to equilibrium points are also provided.
arxiv  

On the Hölder regularity for obstacle problems to porous medium type equations [PDF]

arXiv, 2022
We show that signed weak solutions to parabolic obstacle problems with porous medium type structure are locally H\"older continuous, provided that the obstacle is H\"older continuous.
arxiv  

Approximation of fixed points of nonexpansive mappings and quasinonexpansive mappings in a Hilbert space [PDF]

Proceedings of the 10th International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, 2019, pp. 1-10, 2017
In this paper, we give a simple proof and some generalizations of results in Falset, Llorens-Fuster, Marino, and Rugiano (2016).
arxiv