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Variational Analysis and Fixed Point Theory

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  1. Content type: Research

    In this paper, we discuss the connection between concepts of robustness for multi-objective optimization problems and set order relations. We extend some of the existing concepts to general spaces and cones us...

    Authors: Jonas Ide, Elisabeth Köbis, Daishi Kuroiwa, Anita Schöbel and Christiane Tammer

    Citation: Fixed Point Theory and Applications 2014 2014:83

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  2. Content type: Research

    In this paper, we introduce and analyze a general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of inf...

    Authors: Xiao-Jie Wang, Lu-Chuan Ceng, Hui-Ying Hu and Shi-Xiu Li

    Citation: Fixed Point Theory and Applications 2014 2014:80

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  3. Content type: Research

    The purpose of this paper is to introduce and study a new class of nonlinear mixed ordered inclusion problems in ordered Banach spaces and to obtain an existence theorem and a comparability theorem of the reso...

    Authors: Hong Gang Li, Li Pei Li and Mao Ming Jin

    Citation: Fixed Point Theory and Applications 2014 2014:79

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  4. Content type: Research

    In this paper, employing a new concept of generalized compatibility of a pair of mappings defined on a product space, certain coupled coincidence point results of mappings involved herein are obtained. We also...

    Authors: Nawab Hussain, Mujahid Abbas, Akbar Azam and Jamshaid Ahmad

    Citation: Fixed Point Theory and Applications 2014 2014:62

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  5. Content type: Research

    In this paper, we propose and analyze an explicit type algorithm for finding a common element of the set of solutions of a finite family of generalized equilibrium problems and the set of common fixed points o...

    Authors: Muhammad Aqeel Ahmad Khan, Hafiz Fukhar-ud-din and Abdul Rahim Khan

    Citation: Fixed Point Theory and Applications 2014 2014:59

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  6. Content type: Research

    Variational inequality problems over fixed point sets of nonexpansive mappings include many practical problems in engineering and applied mathematics, and a number of iterative methods have been presented to s...

    Authors: Shigeru Iemoto, Kazuhiro Hishinuma and Hideaki Iiduka

    Citation: Fixed Point Theory and Applications 2014 2014:51

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  7. Content type: Research

    The purpose of this paper is to obtain best proximity point theorems for a weakly contractive mapping and a weakly Kannan mapping in partial metric spaces. In this paper, the P-operator technique, which changes a...

    Authors: Jingling Zhang and Yongfu Su

    Citation: Fixed Point Theory and Applications 2014 2014:50

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  8. Content type: Research

    We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directio...

    Authors: Carmen Alegre, Josefa Marín and Salvador Romaguera

    Citation: Fixed Point Theory and Applications 2014 2014:40

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  9. Content type: Research

    A new convex feasibility problem, the split equality problem (SEP), has been proposed by Moudafi and Byrne. The SEP was solved through the ACQA and ARCQA algorithms. In this paper the SEPs are extended to infi...

    Authors: Rudong Chen, Jie Wang and Huiwen Zhang

    Citation: Fixed Point Theory and Applications 2014 2014:35

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  10. Content type: Research

    In this paper, we propose an algorithms for finding a common fixed point of an infinite family of multi-valued generalized nonexpansive mappings in uniformly convex Banach spaces. Under suitable conditions some s...

    Authors: Shih-sen Chang, Yong-kun Tang, Lin Wang, Yu-guang Xu, Yun-he Zhao and Gang Wang

    Citation: Fixed Point Theory and Applications 2014 2014:33

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  11. Content type: Research

    In this paper, we present relaxed and composite viscosity methods for computing a common solution of a general systems of variational inequalities, common fixed points of infinitely many nonexpansive mappings ...

    Authors: Lu-Chuan Ceng, Abdullah Al-Otaibi, Qamrul Hasan Ansari and Abdul Latif

    Citation: Fixed Point Theory and Applications 2014 2014:29

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  12. Content type: Research

    In this paper, the existence and the uniqueness of a common fixed point for two self-mappings satisfying some generalized Berinde-type contractions which involve an altering distance function with

    Authors: Fawzia Shaddad, Mohd Salmi Md Noorani and Saud M Alsulami

    Citation: Fixed Point Theory and Applications 2014 2014:24

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  13. Content type: Research

    In this paper, we suggest and analyze a modified projection method for finding a common solution of a system of variational inequalities, a split equilibrium problem, and a hierarchical fixed-point problem in ...

    Authors: Abdellah Bnouhachem

    Citation: Fixed Point Theory and Applications 2014 2014:22

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  14. Content type: Research

    In this paper, we first study a hierarchical problem of Baillon’s type, and we study a strong convergence theorem of this problem. For the special case of this convergence theorem, we obtain a strong convergen...

    Authors: Zenn-Tsun Yu, Lai-Jiu Lin and Chih-Sheng Chuang

    Citation: Fixed Point Theory and Applications 2014 2014:20

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  15. Content type: Research

    Using Cesàro means of a mapping, we modify the progress of Mann’s iteration in hybrid method for asymptotically nonexpansive mappings in Hilbert spaces. Under suitable conditions, we prove that the iterative s...

    Authors: Jingxin Zhang and Yunan Cui

    Citation: Fixed Point Theory and Applications 2014 2014:16

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  16. Content type: Research

    The purpose of this article is to study the weak- and strong-convergence theorems of solutions to split a feasibility problem for a family of nonspreading-type mapping in Hilbert spaces. The main result presen...

    Authors: Shih-sen Chang, Jong Kyu Kim, Yeol Je Cho and Jae Yull Sim

    Citation: Fixed Point Theory and Applications 2014 2014:11

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  17. Content type: Research

    We first introduce the concept of a triangular 2-α-η-admissible mapping which extends the notion of α-admissible mapping with respect to η to 2-metric spaces. Next, we introduce the concepts of modified weak and ...

    Authors: Shahin Fathollahi, Nawab Hussain and Liaqat A Khan

    Citation: Fixed Point Theory and Applications 2014 2014:6

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  18. Content type: Research

    We discuss the existence of a fixed point for a class of nonlinear operators in Hilbert spaces with lattice structure by a combination of variational and partial ordered methods. An application to second-order...

    Authors: Yujun Cui and Jingxian Sun

    Citation: Fixed Point Theory and Applications 2013 2013:345

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  19. Content type: Research

    In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. Our co...

    Authors: Naseer Shahzad, Habtu Zegeye and Abdullah Alotaibi

    Citation: Fixed Point Theory and Applications 2013 2013:343

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  20. Content type: Research

    In this paper, we study generalized strong vector quasi-equilibrium problems in topological vector spaces. Using the generalization of Fan-Browder fixed point theorem, we provide existence theorems for an exte...

    Authors: Kanokwan Sitthithakerngkiet and Somyot Plubtieng

    Citation: Fixed Point Theory and Applications 2013 2013:342

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  21. Content type: Research

    Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences ...

    Authors: Masamichi Kon and Hiroaki Kuwano

    Citation: Fixed Point Theory and Applications 2013 2013:327

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  22. Content type: Research

    In the present paper, we study Newton’s method on Lie groups (independent of affine connections) for finding zeros of a mapping f from a Lie group to its Lie algebra. Under a generalized L-average Lipschitz condi...

    Authors: Jinsu He, Jinhua Wang and Jen-Chih Yao

    Citation: Fixed Point Theory and Applications 2013 2013:293

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  23. Content type: Research

    We present some total Lagrange duality results for inequality systems involving infinitely many DC functions. By using properties of the subdifferentials of involved functions, we introduce some new notions of...

    Authors: Donghui Fang and Zhe Chen

    Citation: Fixed Point Theory and Applications 2013 2013:269

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  24. Content type: Research

    In this paper, we consider a variational inequality problem which is defined over the set of intersections of the set of fixed points of a ζ-strictly pseudocontractive mapping, the set of fixed points of a nonexp...

    Authors: Lu-Chuan Ceng, Suliman Al-Homidan and Qamrul Hasan Ansari

    Citation: Fixed Point Theory and Applications 2013 2013:284

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  25. Content type: Research

    In this paper, we introduce a multi-valued cyclic generalized contraction by extending the Mizoguchi and Takahashi’s contraction for non-self mappings. We also establish a best proximity point for such type co...

    Authors: Poom Kumam, Hassen Aydi, Erdal Karapınar and Wutiphol Sintunavarat

    Citation: Fixed Point Theory and Applications 2013 2013:242

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  26. Content type: Research

    The purpose of this paper is to characterize the conditions for the convergence of the iterative scheme in the sense of Agarwal et al. (J. Nonlinear Convex. Anal. 8(1): 61-79, 2007), associated with nonexpansive ...

    Authors: Nawab Hussain, DR Sahu and Arif Rafiq

    Citation: Fixed Point Theory and Applications 2013 2013:247

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