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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. Research

    Approximation of fixed points for nonexpansive semigroups in Hilbert spaces

    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...

    Yonghong Yao, Jung Im Kang, Yeol Je Cho and Yeong-Cheng Liou

    Fixed Point Theory and Applications 2013 2013:31

    Published on: 14 February 2013

  2. Research

    Tripled fixed point theorem in fuzzy metric spaces and applications

    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...

    A Roldán, J Martínez-Moreno and C Roldán

    Fixed Point Theory and Applications 2013 2013:29

    Published on: 11 February 2013

  3. Research

    Best proximity point results in geodesic metric spaces

    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...

    Maryam A Alghamdi, Mohammed A Alghamdi and Naseer Shahzad

    Fixed Point Theory and Applications 2012 2012:234

    Published on: 28 December 2012

  4. Research

    On vector matrix game and symmetric dual vector optimization problem

    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...

    Jeong Min Hong, Moon Hee Kim and Gue Myung Lee

    Fixed Point Theory and Applications 2012 2012:233

    Published on: 28 December 2012

  5. Research

    Some new properties of the Lagrange function and its applications

    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...

    Do Sang Kim and Ta Quang Son

    Fixed Point Theory and Applications 2012 2012:192

    Published on: 29 October 2012

  6. Research

    Uniform mean convergence theorems for hybrid mappings in Hilbert spaces

    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...

    Koji Aoyama and Fumiaki Kohsaka

    Fixed Point Theory and Applications 2012 2012:193

    Published on: 29 October 2012

  7. Research

    Interior fixed points of unit-sphere-preserving Euclidean maps

    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...

    Nirattaya Khamsemanan, Robert F Brown, Catherine Lee and Sompong Dhompongsa

    Fixed Point Theory and Applications 2012 2012:183

    Published on: 17 October 2012

  8. Research

    An improved method for solving multiple-sets split feasibility problem

    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 ...

    Yunfei Du and Rudong Chen

    Fixed Point Theory and Applications 2012 2012:168

    Published on: 3 October 2012

  9. Research

    Projection methods of iterative solutions in Hilbert spaces

    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...

    Feng Gu and Jing Lu

    Fixed Point Theory and Applications 2012 2012:162

    Published on: 25 September 2012

  10. Research

    Banach contraction principle for cyclical mappings on partial metric spaces

    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

    T Abdeljawad, JO Alzabut, A Mukheimer and Y Zaidan

    Fixed Point Theory and Applications 2012 2012:154

    Published on: 18 September 2012

  11. Research

    Split feasibility problems for total quasi-asymptotically nonexpansive mappings

    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...

    Xiong Rui Wang, Shih-sen Chang, Lin Wang and Yun-he Zhao

    Fixed Point Theory and Applications 2012 2012:151

    Published on: 18 September 2012

  12. Research

    Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems

    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...

    Habtu Zegeye, Naseer Shahzad and Mohammad Ali Alghamdi

    Fixed Point Theory and Applications 2012 2012:119

    Published on: 23 July 2012

  13. Research

    Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces

    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 ...

    Warunun Inthakon, Attapol Kaewkhao and Nutchari Niyamosot

    Fixed Point Theory and Applications 2012 2012:110

    Published on: 10 July 2012

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