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Iterative Methods and Optimization Algorithms

Fixed Point Theory and Applications welcomes submissions to the thematic series "Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu."

The thematic series Iterative Methods and Optimization Algorithms is devoted to the latest achievements in the field of iterative methods and optimization theory for single-valued and multi-valued mappings. The series is related to the significant contributions in these fields of Professor Hong-Kun Xu, as well as to some important recent advances in theory, computation, and applications.

Articles will undergo the journal’s standard peer-review process and are subject to all of the journal’s standard policies, including those pertaining to Collections. Articles will be added to the Collection as they are published.

Editors: Ravi Agarwal, Juan Nieto (University of Santiago de Compostela, Spain), and Adrian Petrusel (Babeș-Bolyai University Cluj-Napoca, Romania)


  1. In this paper, we introduce and study a modified multi-step Noor iterative procedure with errors for two Lipschitz strictly hemicontractive-type mappings in arbitrary Banach spaces and constitute its convergen...

    Authors: Md. Asaduzzaman
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:6
  2. In this paper, we propose an iteration algorithm for finding a split common fixed point of an asymptotically nonexpansive mapping in the frameworks of two real Banach spaces. Under some suitable conditions imp...

    Authors: Yuanheng Wang, Xiuping Wu and Chanjuan Pan
    Citation: Fixed Point Theory and Applications 2020 2020:18
  3. In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces. The algorithm consist...

    Authors: Lateef Olakunle Jolaoso and Maggie Aphane
    Citation: Fixed Point Theory and Applications 2020 2020:9
  4. In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence ...

    Authors: Habtu Zegeye and Abebe Regassa Tufa
    Citation: Fixed Point Theory and Applications 2018 2018:15
  5. In this paper, we study an inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps in a uniformly convex and uniformly smooth real Banach space. We prov...

    Authors: C. E. Chidume, S. I. Ikechukwu and A. Adamu
    Citation: Fixed Point Theory and Applications 2018 2018:9
  6. We consider the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings in real Hilbert spaces. Then, using the shrinking projection method...

    Authors: Withun Phuengrattana and Kritsada Lerkchaiyaphum
    Citation: Fixed Point Theory and Applications 2018 2018:6
  7. In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov’s, a nonlinear alt...

    Authors: A Baliki, JJ Nieto, A Ouahab and ML Sinacer
    Citation: Fixed Point Theory and Applications 2017 2017:27

Annual Journal Metrics

  • 2022 Citation Impact
    0.970 - SNIP (Source Normalized Impact per Paper)
    0.435 - SJR (SCImago Journal Rank)

    2022 Speed
    16 days submission to first editorial decision for all manuscripts (Median)
    217 days submission to accept (Median)

    2022 Usage 
    258,457 downloads
    1 Altmetric mentions