Dedicated to Professor Anthony To-Ming Lau, with esteem and friendship.
Edited by: Sompong Dhompongsa
Dedicated to Professor Anthony To-Ming Lau, with esteem and friendship.
Edited by: Sompong Dhompongsa
In this paper, we propose two new algorithms for finding a common fixed point of a nonexpansive semigroup in Hilbert spaces and prove some strong convergence theorems for nonexpansive semigroups. Our results i...
Citation: Fixed Point Theory and Applications 2013 2013:31
This paper provides a new hybrid-type shrinking projection method for strong convergence results in a Hilbert space. The paper continues - by utilizing the proposed hybrid algorithm - with a strong convergence...
Citation: Fixed Point Theory and Applications 2013 2013:30
In this paper we prove an existence and uniqueness theorem for contractive type mappings in fuzzy metric spaces. In order to do that, we consider a slight modification of the concept of a tripled fixed point i...
Citation: Fixed Point Theory and Applications 2013 2013:29
In this paper, the existence of a best proximity point for relatively u-continuous mappings is proved in geodesic metric spaces. As an application, we discuss the existence of common best proximity points for a f...
Citation: Fixed Point Theory and Applications 2012 2012:234
A vector matrix game with more than two skew symmetric matrices, which is an extension of the matrix game, is defined and the symmetric dual problem for a nonlinear vector optimization problem is considered. U...
Citation: Fixed Point Theory and Applications 2012 2012:233
Citation: Fixed Point Theory and Applications 2012 2012:230
A linear optimization problem over a symmetric cone, defined in a Euclidean Jordan algebra and called a self-scaled optimization problem (SOP), is considered. We formulate an algorithm for a large-update prima...
Citation: Fixed Point Theory and Applications 2012 2012:213
Given a non-self mapping from A to B, where A and B are subsets of a metric space, in order to compute an optimal approximate solution of the equation
Citation: Fixed Point Theory and Applications 2012 2012:202
In this paper, we study a new type of a Langevin equation involving two different fractional orders and impulses. Sufficient conditions are formulated for the existence and uniqueness of solutions of the given...
Citation: Fixed Point Theory and Applications 2012 2012:200
Using the notion of sequences of means on the Banach space of all bounded real sequences, we prove mean and uniform mean convergence theorems for pointwise convergent sequences of hybrid mappings in Hilbert sp...
Citation: Fixed Point Theory and Applications 2012 2012:193
Using a dual problem in Wolfe type, the Lagrange function of an inequality constrained nonconvex programming problem is proved to be constant not only on its optimal solution set but also on a wider set. In ad...
Citation: Fixed Point Theory and Applications 2012 2012:192
It is known that the proximal point algorithm converges weakly to a zero of a maximal monotone operator, but it fails to converge strongly. Then, in (Math. Program. 87:189-202, 2000), Solodov and Svaiter intro...
Citation: Fixed Point Theory and Applications 2012 2012:190
In this paper, motivated and inspired by Ceng and Yao (J. Comput. Appl. Math. 214(1):186-201, 2008), Iiduka and Takahashi (Nonlinear Anal. 61(3):341-350, 2005), Jaiboon and Kumam (Nonlinear Anal. 73(5):1180-12...
Citation: Fixed Point Theory and Applications 2012 2012:185
In this paper, we introduce new implicit and explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocont...
Citation: Fixed Point Theory and Applications 2012 2012:184
Schirmer proved that there is a class of smooth self-maps of the unit sphere in Euclidean n-space with the property that any smooth self-map of the unit ball that extends a map of that class must have at least on...
Citation: Fixed Point Theory and Applications 2012 2012:183
Citation: Fixed Point Theory and Applications 2012 2012:181
We study the implicit eigenvalue problem of the form
Citation: Fixed Point Theory and Applications 2012 2012:178
The purpose of this article is to introduce two iterative algorithms for finding a common fixed point of a semigroup of asymptotically nonexpansive mappings which is a unique solution of some variational inequ...
Citation: Fixed Point Theory and Applications 2012 2012:177
In this paper, we establish some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G-metric spaces. The results...
Citation: Fixed Point Theory and Applications 2012 2012:172
Citation: Fixed Point Theory and Applications 2012 2012:171
In this paper, we provide a regularization method for finding a solution of Noor’s variational inequality problem induced by a hemicontinuous monotone operator. Moreover, such a solution is related to the set ...
Citation: Fixed Point Theory and Applications 2012 2012:169
The multiple-sets split feasibility problem (MSSFP) has a variety of applications in the real world such as medical care, image reconstruction and signal processing. Censor et al. proposed solving the MSSFP by a ...
Citation: Fixed Point Theory and Applications 2012 2012:168
Very recently, Agarwal et al. (Fixed Point Theory Appl. 2012:40, 2012) initiated the study of fixed point theorems for mappings satisfying cyclical generalized contractive conditions in complete partial metric sp...
Citation: Fixed Point Theory and Applications 2012 2012:165
In this paper, zero points of the sum of two monotone mappings, solutions of a monotone variational inequality, and fixed points of a nonexpansive mapping are investigated based on a hybrid projection iterativ...
Citation: Fixed Point Theory and Applications 2012 2012:162
We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (Ilić
Citation: Fixed Point Theory and Applications 2012 2012:154
The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for total quasi-ϕ-asymptotically nonexpansive semigroups to have the strong convergence under a limit condition only in the frame...
Citation: Fixed Point Theory and Applications 2012 2012:153
The purpose of this paper is to propose an algorithm for solving the split feasibility problems for total quasi-asymptotically nonexpansive mappings in infinite-dimensional Hilbert spaces. The results presented i...
Citation: Fixed Point Theory and Applications 2012 2012:151
Citation: Fixed Point Theory and Applications 2012 2012:150
In this paper, we study a three-step iterative scheme with error terms for solving nonlinear ϕ-strongly accretive operator equations in arbitrary real Banach spaces.
Citation: Fixed Point Theory and Applications 2012 2012:149
In this paper, a new nonlinear mapping, asymptotically strict quasi-ϕ-pseudocontraction in the intermediate sense, is introduced. Projection algorithms are considered for the mapping. Strong convergence theorems ...
Citation: Fixed Point Theory and Applications 2012 2012:143
Based on the results from (Mihail and Miculescu in Math. Rep., Bucur. 11(61)(1):21-32, 2009), where the shift space for an infinite iterated function system (IIFS for short) is defined and the relation between...
Citation: Fixed Point Theory and Applications 2012 2012:141
In this paper, using the setting of two ordered generalized metric spaces, a unique common fixed point of four mappings satisfying a generalized contractive condition is obtained. We also present an example to...
Citation: Fixed Point Theory and Applications 2012 2012:139
In this paper, the fixed point problem of asymptotically strict quasi-ϕ-pseudocontractions is investigated based on hybrid projection algorithms. Strong convergence theorems of fixed points are established in a r...
Citation: Fixed Point Theory and Applications 2012 2012:137
We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed po...
Citation: Fixed Point Theory and Applications 2012 2012:119
In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function ϕ. Furthermore, we prove ...
Citation: Fixed Point Theory and Applications 2012 2012:110
In this article, we consider an iterative scheme to approximate a common fixed point for a finite family of asymptotic pointwise nonexpansive mappings. We obtain weak and strong convergence theorems of the pro...
Citation: Fixed Point Theory and Applications 2012 2012:108
The purpose of this article is to introduce the concept of total quasi- ϕ-asymptotically nonexpansive mapping which contains many kinds of mappings as its special cases and we prove a strong convergence theorem b...
Citation: Fixed Point Theory and Applications 2012 2012:70