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  1. Many iterative optimization algorithms involve compositions of special cases of Lipschitz continuous operators, namely firmly nonexpansive, averaged, and nonexpansive operators. The structure and properties of...

    Authors: Pontus Giselsson and Walaa M. Moursi
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:25
  2. This paper is devoted to numerical analysis of doubly-history dependent variational inequalities in contact mechanics. A fully discrete method is introduced for the variational inequalities, in which the doubl...

    Authors: Wei Xu, Cheng Wang, Mingyan He, Wenbin Chen, Weimin Han and Ziping Huang
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:24
  3. In 1990, Romero presented a beautiful formula for the projection onto the set of rectangular matrices with prescribed row and column sums. Variants of Romero’s formula were rediscovered by Khoury and by Glunt,...

    Authors: Heinz H. Bauschke, Shambhavi Singh and Xianfu Wang
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:23
  4. Inverse problems consist of recovering a signal from a collection of noisy measurements. These problems can often be cast as feasibility problems; however, additional regularization is typically necessary to e...

    Authors: Howard Heaton, Samy Wu Fung, Aviv Gibali and Wotao Yin
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:21
  5. By the first welfare theorem, competitive market equilibria belong to the core and hence are Pareto optimal. Letting money be a commodity, this paper turns these two inclusions around. More precisely, by generali...

    Authors: Sjur Didrik Flåm
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:20
  6. We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmo...

    Authors: Jing Zhao, Stanisław Migórski and Sylwia Dudek
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:19
  7. In this paper, we introduce a new iterative forward-backward splitting method with an error for solving the variational inclusion problem of the sum of two monotone operators in real Hilbert spaces. We suggest...

    Authors: Pattanapong Tianchai
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:18
  8. Splitting algorithms for finding a zero of sum of operators often involve multiple steps which are referred to as forward or backward steps. Forward steps are the explicit use of the operators and backward ste...

    Authors: Minh N. Dao and Hung M. Phan
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:16
  9. It is well known that the Newton method may not converge when the initial guess does not belong to a specific quadratic convergence region. We propose a family of new variants of the Newton method with the pot...

    Authors: Regina S. Burachik, Bethany I. Caldwell and C. Yalçın Kaya
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:15
  10. In this paper, we use a robust lower directional derivative and provide some sufficient conditions to ensure the strong regularity of a given mapping at a certain point. Then, we discuss the Hoffman estimation an...

    Authors: Malek Abbasi and Michel Théra
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:14
  11. We explore a new approach for training neural networks where all loss functions are replaced by hard constraints. The same approach is very successful in phase retrieval, where signals are reconstructed from m...

    Authors: Veit Elser
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:12
  12. Nonlinear fractional differential equations have been intensely studied using fixed point theorems on various different function spaces. Here we combine fixed point theory with complex analysis, considering sp...

    Authors: Arran Fernandez, Sümeyra Uçar and Necati Özdemir
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:11
  13. This paper proposes a stochastic approximation method for solving a convex stochastic optimization problem over the fixed point set of a quasinonexpansive mapping. The proposed method is based on the existing ...

    Authors: Hideaki Iiduka
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:10
  14. String-averaging is an algorithmic structure used when handling a family of operators in situations where the algorithm in hand requires to employ the operators in a specific order. Sequential orderings are we...

    Authors: Yair Censor and Ariel Nisenbaum
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:9
  15. This paper studies uniqueness of solutions for a nonlinear Hadamard-type integro-differential equation in the Banach space of absolutely continuous functions based on Babenko’s approach and Banach’s contractio...

    Authors: Chenkuan Li
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:7
  16. In this paper, we introduce and study a modified multi-step Noor iterative procedure with errors for two Lipschitz strictly hemicontractive-type mappings in arbitrary Banach spaces and constitute its convergen...

    Authors: Md. Asaduzzaman
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:6
  17. We propose Tseng’s extragradient methods for finding a solution of variational inequality problems associated with pseudomonotone vector fields in Hadamard manifolds. Under standard assumptions such as pseudom...

    Authors: Konrawut Khammahawong, Poom Kumam, Parin Chaipunya and Somyot Plubtieng
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:5
  18. In this paper, we investigate the existence and the uniqueness of a common fixed point of a pair of self-mappings satisfying new contractive type conditions on a modular metric space endowed with a reflexive d...

    Authors: Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil and Abdessamad Kamouss
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:4
  19. In the literature there are several methods for comparing two convergent iterative processes for the same problem. In this note we have in view mostly the one introduced by Berinde in (Fixed Point Theory Appl....

    Authors: Constantin Zălinescu
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:2
  20. In this paper, we obtain a new convergence theorem for fixed points of weak contractions in Branciari type generalized metric spaces under weaker conditions. The proof process of the theorem is new and differe...

    Authors: Zhiqun Xue and Guiwen Lv
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:1
  21. In this paper, we propose an iteration algorithm for finding a split common fixed point of an asymptotically nonexpansive mapping in the frameworks of two real Banach spaces. Under some suitable conditions imp...

    Authors: Yuanheng Wang, Xiuping Wu and Chanjuan Pan
    Citation: Fixed Point Theory and Applications 2020 2020:18
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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

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

  30. 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

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

  31. 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

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

  32. 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
  33. 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

Annual Journal Metrics

  • 2022 Citation Impact
    0.970 - SNIP (Source Normalized Impact per Paper)
    0.435 - SJR (SCImago Journal Rank)

    2022 Speed
    11 days submission to first editorial decision for all manuscripts (Median)
    217 days submission to accept (Median)

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