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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

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  1. Content type: Research

    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

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  2. Content type: Research

    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

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  3. Content type: Research

    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

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  4. Content type: Research

    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

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  5. Content type: Research

    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

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  6. Content type: Research

    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

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  7. Content type: Research

    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

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  8. Content type: Research

    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

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  9. Content type: Research

    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

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  10. Content type: Research

    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

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  11. Content type: Research

    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

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