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Variational Analysis and Fixed Point Theory

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  1. Research

    General split equality problems in Hilbert spaces

    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...

    Rudong Chen, Jie Wang and Huiwen Zhang

    Fixed Point Theory and Applications 2014 2014:35

    Published on: 13 February 2014

  2. Research

    Convergence theorems for some multi-valued generalized nonexpansive mappings

    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...

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

    Fixed Point Theory and Applications 2014 2014:33

    Published on: 11 February 2014

  3. Research

    Relaxed and composite viscosity methods for variational inequalities, fixed points of nonexpansive mappings and zeros of accretive operators

    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 ...

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

    Fixed Point Theory and Applications 2014 2014:29

    Published on: 4 February 2014

  4. Research

    A note on spherical maxima sharing the same Lagrange multiplier

    In this paper, we establish a general result on spherical maxima sharing the same Lagrange multiplier of which the following is a particular consequence: Let X be a real Hilbert space. For each

    Biagio Ricceri

    Fixed Point Theory and Applications 2014 2014:25

    Published on: 31 January 2014

  5. Research

    Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces

    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...

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

    Fixed Point Theory and Applications 2014 2014:11

    Published on: 9 January 2014

  6. Research

    Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function

    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...

    Naseer Shahzad, Habtu Zegeye and Abdullah Alotaibi

    Fixed Point Theory and Applications 2013 2013:343

    Published on: 13 December 2013

  7. Research

    On sequences of fuzzy sets and fuzzy set-valued mappings

    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 ...

    Masamichi Kon and Hiroaki Kuwano

    Fixed Point Theory and Applications 2013 2013:327

    Published on: 2 December 2013

  8. Research

    Convergence criteria of Newton’s method on Lie groups

    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...

    Jinsu He, Jinhua Wang and Jen-Chih Yao

    Fixed Point Theory and Applications 2013 2013:293

    Published on: 9 November 2013

  9. Research

    Total Lagrange duality for DC infinite optimization problems

    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...

    Donghui Fang and Zhe Chen

    Fixed Point Theory and Applications 2013 2013:269

    Published on: 8 November 2013

  10. Research

    Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

    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...

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

    Fixed Point Theory and Applications 2013 2013:284

    Published on: 8 November 2013

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