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  1. Research

    Fixed point results for fuzzy mappings in a b-metric space

    In this paper, we establish some fixed point results for fuzzy mappings in a complete dislocated b-metric space. Our results generalize and extend the results of Joseph et al. (SpringerPlus 5:Article ID 217, 2016

    Abdullah Shoaib, Poom Kumam, Aqeel Shahzad, Supak Phiangsungnoen and Qasim Mahmood

    Fixed Point Theory and Applications 2018 2018:2

    Published on: 5 January 2018

  2. Research

    Probabilistic b-metric spaces and nonlinear contractions

    This work is for giving the probabilistic aspect to the known b-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear co...

    Abderrahim Mbarki and Rachid Oubrahim

    Fixed Point Theory and Applications 2017 2017:29

    Published on: 22 December 2017

  3. Research

    Coincidence theory for compact morphisms

    In this paper we present several coincidence type results for morphisms (fractions) in the sense of Gorniewicz and Granas.

    Donal O’Regan

    Fixed Point Theory and Applications 2017 2017:19

    Published on: 15 December 2017

  4. Research

    Random semilinear system of differential equations with impulses

    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...

    A Baliki, JJ Nieto, A Ouahab and ML Sinacer

    Fixed Point Theory and Applications 2017 2017:27

    Published on: 10 December 2017

  5. Research

    On some fixed point theorems in generalized metric spaces

    In this paper, we obtain some generalizations of fixed point results for Kannan, Chatterjea and Hardy-Rogers contraction mappings in a new class of generalized metric spaces introduced recently by Jleli and Sa...

    Youness ElKouch and El Miloudi Marhrani

    Fixed Point Theory and Applications 2017 2017:23

    Published on: 27 November 2017

  6. Research

    Relaxed iterative algorithms for a system of generalized mixed equilibrium problems and a countable family of totally quasi-Phi-asymptotically nonexpansive multi-valued maps, with applications

    In this article, a Krasnoselskii-type and a Halpern-type algorithm for approximating a common fixed point of a countable family of totally quasi-ϕ-asymptotically nonexpansive nonself multi-valued maps and a solut...

    CE Chidume, OM Romanus and UV Nnyaba

    Fixed Point Theory and Applications 2017 2017:21

    Published on: 25 November 2017

  7. Research

    Nadler’s fixed point theorem in ν-generalized metric spaces

    We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space. In particular...

    Tomonari Suzuki

    Fixed Point Theory and Applications 2017 2017:18

    Published on: 15 November 2017

  8. Research

    A note on Ćirić type nonunique fixed point theorems

    In this paper, we suggest some nonunique fixed results in the setting of various abstract spaces. The proposed results extend, generalize and unify many existing results in the corresponding literature.

    Erdal Karapınar and Ravi P Agarwal

    Fixed Point Theory and Applications 2017 2017:20

    Published on: 15 October 2017

  9. Research

    Some fixed point results for fuzzy homotopic mappings

    The first purpose of this paper is to define a homotopy for fuzzy spaces. We continue our work by showing that the property of having a fixed point is invariant by this homotopy. These theorems generalize and ...

    Fatemeh Kiany

    Fixed Point Theory and Applications 2017 2017:15

    Published on: 3 October 2017

  10. Research

    Rectangular cone b-metric spaces over Banach algebra and contraction principle

    Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples...

    Reny George, Hossam A Nabwey, R Rajagopalan, Stojan Radenović and KP Reshma

    Fixed Point Theory and Applications 2017 2017:14

    Published on: 1 September 2017

  11. Research

    Fixed points of set-valued maps in locally complete spaces

    We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.

    Carlos Bosch, César L García, Thomas Gilsdorf, Claudia Gómez-Wulschner and Rigoberto Vera

    Fixed Point Theory and Applications 2017 2017:13

    Published on: 1 August 2017

  12. Editorial

    Editorial

    Ravi P Agarwal, Juan J Nieto and Adrian Petrusel

    Fixed Point Theory and Applications 2017 2017:11

    Published on: 14 June 2017

  13. 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

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