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New Challenges and Trends in Fixed Point Theory and Its Applications

This thematic series is devoted to publishing the latest and most significant research on Fixed Point Theory including its wide range of applications. Its goals are to stimulate further research and to highlight and emphasize the most recent advances in the field as well as to promote, encourage, and bring together researchers in Fixed point Theory and Applications including those interested in potential applications in Science and Engineering.

Edited by: Yeol Je Cho, Manuel De la Sen, Abdul Latif and Reza Saadati

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  1. Research

    Common best proximity points results for new proximal C-contraction mappings

    We define a new version of proximal C-contraction and prove the existence and uniqueness of a common best proximity point for a pair of non-self functions. Then we apply our main results to get some fixed point t...

    Parvaneh Lo’lo’, Seiyed Mansour Vaezpour and Reza Saadati

    Fixed Point Theory and Applications 2016 2016:56

    Published on: 30 April 2016

  2. Research

    Coupled fixed point theorems for single-valued operators in b-metric spaces

    The aim of this paper to present fixed point results for single-valued operators in b-metric spaces. The case of scalar metric and the case of vector-valued metric approaches are considered. As an application, a ...

    Monica-Felicia Bota, Adrian Petruşel, Gabriela Petruşel and Bessem Samet

    Fixed Point Theory and Applications 2015 2015:231

    Published on: 22 December 2015

  3. Research

    A fixed point result and the stability problem in Lie superalgebras

    In this paper, we introduce the concept of normed Lie superalgebras and define the superhomomorphism and the superderivation in normed Lie superalgebras. We define a generalized T-orbitally complete metric space ...

    Madjid Eshaghi, Sadegh Abbaszadeh, Manuel de la Sen and Zahra Farhad

    Fixed Point Theory and Applications 2015 2015:219

    Published on: 26 November 2015

  4. Research

    Existence of best proximity points for controlled proximal contraction

    In this paper, we investigate the sufficient condition for the existence of best proximity points for non-self-multivalued mappings. Additionally, we discuss the stability theorem for such mappings. Our result...

    Quanita Kiran, Muhammad Usman Ali, Tayyab Kamran and Erdal Karapınar

    Fixed Point Theory and Applications 2015 2015:207

    Published on: 14 November 2015

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