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  1. Research

    Fixed point theorems for F-expanding mappings

    Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012) introduced a new concept of F-contraction and proved a fixed point theorem which generalizes the Banach contraction principle. Following this direction...

    Jarosław Górnicki

    Fixed Point Theory and Applications 2017 2017:9

    Published on: 19 May 2017

  2. Research

    Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

    In this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point...

    Montira Suwannaprapa, Narin Petrot and Suthep Suantai

    Fixed Point Theory and Applications 2017 2017:6

    Published on: 28 April 2017

  3. Research

    Generalized α-nonexpansive mappings in Banach spaces

    We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order ⪯. This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type...

    Rahul Shukla, Rajendra Pant and Manuel De la Sen

    Fixed Point Theory and Applications 2017 2017:4

    Published on: 23 February 2017

  4. Research

    Pseudo-metric space and fixed point theorem

    The aim of this paper is to give a generalized version of Caristi fixed point theorems in pseudo-metric spaces. Our results generalize and improve many of well-known theorems. As an application of our results,...

    Samih Lazaiz, Karim Chaira, Mohamed Aamri and El Miloudi Marhrani

    Fixed Point Theory and Applications 2017 2017:3

    Published on: 1 February 2017

  5. Research

    Some extensions of the Meir-Keeler theorem

    Meir and Keeler formulated their fixed point theorem for contractive mappings with purely metric condition. This idea was extended by numerous mathematicians. In this paper, we present a simple method of provi...

    Lech Pasicki

    Fixed Point Theory and Applications 2017 2017:1

    Published on: 3 January 2017

  6. Research

    Four mappings and generalized contractions

    In the paper general theorems on common fixed point for four mappings are presented. The results are compact and they extend and unify the respective part of the fixed point theory.

    Lech Pasicki

    Fixed Point Theory and Applications 2016 2016:99

    Published on: 17 November 2016

  7. Research

    Random fixed point theorems in partially ordered metric spaces

    We present the random version in partially ordered metric spaces of the classical Banach contraction principle and some of its generalizations to ordered metric spaces.

    Juan J Nieto, Abdelghani Ouahab and Rosana Rodríguez-López

    Fixed Point Theory and Applications 2016 2016:98

    Published on: 26 October 2016

  8. Research

    Contributions to the fixed point theory of diagonal operators

    In this paper, we introduce the notion of diagonal operator, we present the historical roots of diagonal operators and we give some fixed point theorems for this class of operators. Our approaches are based on...

    Adrian Petruşel, Ioan A Rus and Marcel-Adrian Şerban

    Fixed Point Theory and Applications 2016 2016:95

    Published on: 3 October 2016

  9. 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

  10. 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

  11. 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

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