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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.

Editors: Ravi Agarwal, Juan Nieto, and Adrian Petrusel


  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
    Content type: Research Published on:

  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
    Content type: Research Published on:

  4. 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
    Content type: Research Published on:

  6. 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
    Content type: Research Published on:

  9. 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
    Content type: Research Published on:

  11. 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
    Content type: Research Published on:

  12. 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
    Content type: Research Published on:
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  • ISSN: 2730-5422 (electronic)