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  1. Review

    On multiplicative metric spaces: survey

    The purpose of this survey is to prove that the fixed point results for various multiplicative contractions are in fact equivalent to the corresponding fixed point results in (standard) metric spaces. For exam...

    Tatjana Došenović, Mihai Postolache and Stojan Radenović

    Fixed Point Theory and Applications 2016 2016:92

    Published on: 27 September 2016

  2. Research

    Discussion of several contractions by Jachymski’s approach

    We discuss several contractions of integral type by using Jachymski’s approach. We give alternative proofs of recent generalizations of the Banach contraction principle due to Ri (Indag. Math. 27:85-93, 2016) and...

    Tomonari Suzuki

    Fixed Point Theory and Applications 2016 2016:91

    Published on: 20 September 2016

  3. Research

    Multilayer approach to minimax theorems

    In this research, a multihierarchical methodology works by taking a whole intersection property to establish a fixed point theorem. Using such a whole intersection property to let multihierarchical procedures ...

    Yen-Cherng Lin and Hang-Chin Lai

    Fixed Point Theory and Applications 2016 2016:86

    Published on: 31 August 2016

  4. Research

    Some fixed point results via R-functions

    We establish existence and uniqueness of fixed points for a new class of mappings, by using R-functions and lower semi-continuous functions in the setting of metric spaces. As consequences of this results, we obt...

    Antonella Nastasi, Pasquale Vetro and Stojan Radenović

    Fixed Point Theory and Applications 2016 2016:81

    Published on: 29 July 2016

  5. Research

    Best proximity results: optimization by approximate solutions

    In this paper we utilize a generalized weakly contractive mapping to establish some best proximity point results which are global optimization results for finding the minimum distances between two sets. Amongs...

    Binayak S Choudhury, Nikhilesh Metiya, Georgeta Maniu and Pulak Konar

    Fixed Point Theory and Applications 2016 2016:79

    Published on: 15 July 2016

  6. Research

    Note on essential fixed points of approximable multivalued mappings

    A new definition of essential fixed points is introduced for a large class of multivalued maps. Two abstract existence theorems are presented for approximable maps on compact ANR-spaces in terms of a nontrivia...

    Jan Andres and Lech Górniewicz

    Fixed Point Theory and Applications 2016 2016:78

    Published on: 15 July 2016

  7. Research

    A note on recent cyclic fixed point results in dislocated quasi-b-metric spaces

    The purpose of this paper is to establish some fixed point results for cyclic contractions in the setting of dislocated quasi-b-metric spaces. We verify that some previous cyclic contraction results in dislocated...

    Diana Dolićanin-Ðekić, Tatjana Došenović, Huaping Huang and Stojan Radenović

    Fixed Point Theory and Applications 2016 2016:74

    Published on: 30 June 2016

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