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  1. In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in un...

    Authors: Noureddine El Harmouchi, Karim Chaira and El Miloudi Marhrani

    Citation: Fixed Point Theory and Applications 2020 2020:17

    Content type: Research

    Published on:

  2. In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty qua...

    Authors: Joy C. Umudu, Johnson O. Olaleru and Adesanmi A. Mogbademu

    Citation: Fixed Point Theory and Applications 2020 2020:16

    Content type: Research

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  3. An inertial iterative algorithm for approximating a point in the set of zeros of a maximal monotone operator which is also a common fixed point of a countable family of relatively nonexpansive operators is studie...

    Authors: Charles E. Chidume, Poom Kumam and Abubakar Adamu

    Citation: Fixed Point Theory and Applications 2020 2020:12

    Content type: Research

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  4. In this paper, we provide common fixed point theorems for two and three commuting mappings which generalize Darbo’s fixed point theorem. An explicit example is given for illustration.

    Authors: Meryeme El Harrak and Ahmed Hajji

    Citation: Fixed Point Theory and Applications 2020 2020:11

    Content type: Research

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  5. In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces. The algorithm consist...

    Authors: Lateef Olakunle Jolaoso and Maggie Aphane

    Citation: Fixed Point Theory and Applications 2020 2020:9

    Content type: Research

    Published on:

  6. In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed ...

    Authors: Outass Rida, Chaira Karim and Marhrani El Miloudi

    Citation: Fixed Point Theory and Applications 2020 2020:7

    Content type: Research

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  7. Set-valued contractions of Leader type in quasi-triangular spaces are constructed, conditions guaranteeing the existence of nonempty sets of periodic points, fixed points and endpoints of such contractions are...

    Authors: Kazimierz Włodarczyk

    Citation: Fixed Point Theory and Applications 2020 2020:6

    Content type: Research

    Published on:

  8. The Editors-in-Chief have retracted this article [1] because it showed evidence of peer review manipulation. In addition, the identity of the corresponding author could not be verified: Nagoya University have ...

    Authors: Zhenhai Yan, Guojun Yan and Ikudol Miyamoto

    Citation: Fixed Point Theory and Applications 2020 2020:5

    Content type: Retraction Note

    Published on:

    The original article was published in Fixed Point Theory and Applications 2015 2015:197

  9. The Editors-in-Chief have retracted this article [1] because it overlaps significantly with a number of previously published articles from different authors [2-4] and one article by different authors that was ...

    Authors: Zhiqiang Li and Beatriz Ychussie

    Citation: Fixed Point Theory and Applications 2020 2020:2

    Content type: Retraction Note

    Published on:

    The original article was published in Fixed Point Theory and Applications 2015 2015:89

  10. The Editors-in-Chief have retracted this article [1] because the results presented are invalid. The article also shows significant overlap with a number of previously published articles [2–5] and evidence of b...

    Authors: Gaixian Xue and Eve Yuzbasi

    Citation: Fixed Point Theory and Applications 2020 2020:1

    Content type: Retraction Note

    Published on:

    The original article was published in Fixed Point Theory and Applications 2015 2015:34

  11. The purpose of this paper is to define a new random operator called the generalized ϕ-weakly contraction of the rational type. This new random operator includes those studied by Khan et al. (Filomat 31(12):3611–3...

    Authors: Godwin Amechi Okeke, Sheila Amina Bishop and Hudson Akewe

    Citation: Fixed Point Theory and Applications 2019 2019:15

    Content type: Research

    Published on:

  12. In this paper, we define F-contractive type mappings in b-metric spaces and prove some fixed point results with suitable examples. F-expanding type mappings are also defined and a fixed point result is obtained.

    Authors: Nilakshi Goswami, Nehjamang Haokip and Vishnu Narayan Mishra

    Citation: Fixed Point Theory and Applications 2019 2019:13

    Content type: Research

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  13. In this paper, we introduce and discuss soft single points, which proceed towards soft real points by using real numbers and subsets of set of real numbers. We also define the basic operations on soft real poi...

    Authors: Sabir Hussain, Hurmet Fulya Akiz and Amlak Ibrahim Alajlan

    Citation: Fixed Point Theory and Applications 2019 2019:9

    Content type: Research

    Published on:

  14. The primary objective of this paper is the study of the generalization of some results given by Basha (Numer. Funct. Anal. Optim. 31:569–576, 2010). We present a new theorem on the existence and uniqueness of bes...

    Authors: Mohamed Iadh Ayari, Zead Mustafa and Mohammed Mahmoud Jaradat

    Citation: Fixed Point Theory and Applications 2019 2019:7

    Content type: Research

    Published on:

  15. In this paper, we establish a new iteration method, called an InerSP (an inertial S-iteration process), by combining a modified S-iteration process with the inertial extrapolation. This strategy is for speedin...

    Authors: Aniruth Phon-on, Nifatamah Makaje, Areeyuth Sama-Ae and Kittiya Khongraphan

    Citation: Fixed Point Theory and Applications 2019 2019:4

    Content type: Research

    Published on:

  16. In this article, we carry out some observations on existing metrical coincidence theorems of Karapinar et al. (Fixed Point Theory Appl. 2014:92, 2014) and Erhan et al. (J. Inequal. Appl. 2015:52, 2015) proved for...

    Authors: Aftab Alam, Mohammad Imdad and Mohammad Arif

    Citation: Fixed Point Theory and Applications 2019 2019:6

    Content type: Research

    Published on:

  17. We give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an associated path of self-adjoi...

    Authors: Marek Izydorek, Joanna Janczewska and Nils Waterstraat

    Citation: Fixed Point Theory and Applications 2019 2019:5

    Content type: Research

    Published on:

  18. In this paper, we study the class of further generalized hybrid mappings due to Khan (Fixed Point Theory Appl. 2018:8, 2018) in the setting of Hadamard spaces. We prove a demiclosed principle for such mappings in...

    Authors: Asawathep Cuntavepanit and Withun Phuengrattana

    Citation: Fixed Point Theory and Applications 2019 2019:3

    Content type: Research

    Published on:

  19. In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular me...

    Authors: Duran Turkoglu and Nesrin Manav

    Citation: Fixed Point Theory and Applications 2018 2018:25

    Content type: Research

    Published on:

  20. Applying the method consisting of a combination of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure, that is, to a discrete singular equation of which t...

    Authors: Minoru Tabata and Nobuoki Eshima

    Citation: Fixed Point Theory and Applications 2018 2018:24

    Content type: Research

    Published on:

  21. In this paper, we obtain the existence and uniqueness of the solution for three self mappings in a complete bipolar metric space under a new Caristi type contraction with an example. We also provide applicatio...

    Authors: G. N. V. Kishore, Ravi P. Agarwal, B. Srinuvasa Rao and R. V. N. Srinivasa Rao

    Citation: Fixed Point Theory and Applications 2018 2018:21

    Content type: Research

    Published on:

  22. The Hardy–Rogers p-proximal cyclic contraction, which includes the cyclic, Kannan, Chatterjea and Reich contractions as sub-classes, is developed in uniform spaces. The existence and uniqueness results of best pr...

    Authors: Victoria O. Olisama, Johnson O. Olaleru and Hudson Akewe

    Citation: Fixed Point Theory and Applications 2018 2018:18

    Content type: Research

    Published on:

  23. In this paper, we prove some common fixed point theorems for a finite family of multivalued and single-valued mappings operating on ordered Banach spaces. Our results extend and generalize many results in the ...

    Authors: Mohamed Amine Farid, Karim Chaira, El Miloudi Marhrani and Mohamed Aamri

    Citation: Fixed Point Theory and Applications 2018 2018:17

    Content type: Research

    Published on:

  24. In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence ...

    Authors: Habtu Zegeye and Abebe Regassa Tufa

    Citation: Fixed Point Theory and Applications 2018 2018:15

    Content type: Research

    Published on:

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