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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. Content type: Research

    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

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  2. Content type: Research

    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

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  3. Content type: Research

    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

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  4. Content type: Research

    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

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