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Professor Anthony To-Ming Lau's contributions to the development of Fixed Point Theory and Applications.

Dedicated to Professor Anthony To-Ming Lau, with esteem and friendship.

Edited by: Sompong Dhompongsa

  1. 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...

    Authors: A Roldán, J Martínez-Moreno and C Roldán
    Citation: Fixed Point Theory and Applications 2013 2013:29
  2. 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...

    Authors: Maryam A Alghamdi, Mohammed A Alghamdi and Naseer Shahzad
    Citation: Fixed Point Theory and Applications 2012 2012:234
  3. 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...

    Authors: Jeong Min Hong, Moon Hee Kim and Gue Myung Lee
    Citation: Fixed Point Theory and Applications 2012 2012:233
  4. 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...

    Authors: Guotao Wang, Lihong Zhang and Guangxing Song
    Citation: Fixed Point Theory and Applications 2012 2012:200
  5. 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...

    Authors: Do Sang Kim and Ta Quang Son
    Citation: Fixed Point Theory and Applications 2012 2012:192
  6. 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...

    Authors: Hemant Kumar Pathak and Yeol Je Cho
    Citation: Fixed Point Theory and Applications 2012 2012:190
  7. 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...

    Authors: Nirattaya Khamsemanan, Robert F Brown, Catherine Lee and Sompong Dhompongsa
    Citation: Fixed Point Theory and Applications 2012 2012:183
  8. 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...

    Authors: Pongsakorn Sunthrayuth and Poom Kumam
    Citation: Fixed Point Theory and Applications 2012 2012:177
  9. 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...

    Authors: Rabian Wangkeeree and Thanatporn Bantaojai
    Citation: Fixed Point Theory and Applications 2012 2012:172
  10. 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 ...

    Authors: Yeol Je Cho and Narin Petrot
    Citation: Fixed Point Theory and Applications 2012 2012:169
  11. 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...

    Authors: Feng Gu and Jing Lu
    Citation: Fixed Point Theory and Applications 2012 2012:162
  12. 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...

    Authors: Shih-sen Chang, Jong Kyu Kim and Lin Wang
    Citation: Fixed Point Theory and Applications 2012 2012:153
  13. 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...

    Authors: Xiong Rui Wang, Shih-sen Chang, Lin Wang and Yun-he Zhao
    Citation: Fixed Point Theory and Applications 2012 2012:151
  14. 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 ...

    Authors: Xiaolong Qin, Lin Wang and Shin Min Kang
    Citation: Fixed Point Theory and Applications 2012 2012:143
  15. 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...

    Authors: Habtu Zegeye, Naseer Shahzad and Mohammad Ali Alghamdi
    Citation: Fixed Point Theory and Applications 2012 2012:119
  16. 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 ...

    Authors: Warunun Inthakon, Attapol Kaewkhao and Nutchari Niyamosot
    Citation: Fixed Point Theory and Applications 2012 2012:110
  17. 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...

    Authors: Bancha Nanjaras and Bancha Panyanak
    Citation: Fixed Point Theory and Applications 2012 2012:108
  18. 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...

    Authors: Ping Zuo, Shih-sen Chang and Min Liu
    Citation: Fixed Point Theory and Applications 2012 2012:70