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  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. Research

    Fixed points for cyclic φ-contractions in generalized metric spaces

    In this paper, we obtain a fixed point theorem for mappings satisfying cyclic φ-contractive conditions in complete metric spaces, which gives a positive answer to the question raised by Radenović (Fixed Point The...

    Fei He and Alatancang Chen

    Fixed Point Theory and Applications 2016 2016:67

    Published on: 4 June 2016

  7. Research

    Best proximity point theorems for cyclic generalized proximal contractions

    In this paper we introduce the notion of a cyclic generalized proximal contraction, and then prove some best proximity point theorems in metric spaces. We will provide examples to illustrate our results.

    Ali Abkar, Narges Moezzifar, Azizollah Azizi and Naseer Shahzad

    Fixed Point Theory and Applications 2016 2016:66

    Published on: 4 June 2016

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