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Publikováno v:
J. Appl. Math.
Journal of Applied Mathematics, Vol 2014 (2014)
Journal of Applied Mathematics, Vol 2014 (2014)
The Cauchy problem for a generalized two-component Camassa-Holm system is investigated. Following the idea of fixed points and using new sets of independent and dependent variables, the existence of the global conservative solutions for the system is
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
J. Appl. Math.
J. Appl. Math.
We first introduce a new mixed equilibrium problem with a relaxed monotone mapping in Banach spaces and prove the existence of solutions of the equilibrium problem. Then we introduce a new iterative algorithm for finding a common element of the set o
Autor:
Pei Zhou, Gou-Jie Zhao
Publikováno v:
J. Appl. Math.
Journal of Applied Mathematics, Vol 2014 (2014)
Journal of Applied Mathematics, Vol 2014 (2014)
We establish an iterative method for finding a common element of the set of fixed points of nonexpansive semigroup and the set of split equilibrium problems. Under suitable conditions, some strong convergence theorems are proved. Our works improve pr
Autor:
Fenghui Wang, Haixia Zhang
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
J. Appl. Math.
J. Appl. Math.
Recently, Takahashi and Takahashi proposed an iterative algorithm for solving a problem for finding common solutions of generalized equilibrium problems governed by inverse strongly monotone mappings and of fixed point problems for nonexpansive mappi
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
J. Appl. Math.
J. Appl. Math.
By using a new hybrid method, a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of Bregman strongly nonexpansive mappings in a reflexive Banach space is proved.
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
J. Appl. Math.
J. Appl. Math.
A new certain differential operatorTα,β,δ,λmf(z)and a subclassSm,w*(α,β,γ,δ,λ)are introduced for functions of the formf(z)=(z−w)−∑n=2∞an(z−w)nwhich are univalent in the unit discU={z∈ℂ:|z|<1}. In this paper, we obtain coefficie
Publikováno v:
J. Appl. Math.
Journal of Applied Mathematics, Vol 2013 (2013)
Journal of Applied Mathematics, Vol 2013 (2013)
A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an applicati
Autor:
Peng Bai, Wei-Qi Deng
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
J. Appl. Math.
J. Appl. Math.
Let $K$ be a nonempty, closed, and convex subset of a real uniformly convex Banach space $E$ . Let $\left\{{T}_{\lambda }{\right\}}_{\lambda \in \mathrm{\Lambda }}$ and $\left\{{S}_{\lambda }{\right\}}_{\lambda \in \mathrm{\Lambda }}$ be two infinite
Autor:
Ching-Feng Wen, Lu-Chuan Ceng
Publikováno v:
J. Appl. Math.
Journal of Applied Mathematics, Vol 2012 (2012)
Journal of Applied Mathematics, Vol 2012 (2012)
We investigate the problem of finding a common solution of a general system of variational inequalities, a variational inclusion, and a fixed-point problem of a strictly pseudocontractive mapping in a real Hilbert space. Motivated by Nadezhkina and T
Autor:
Zhanfei Zuo
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
J. Appl. Math.
J. Appl. Math.
The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge