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  1. This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ-contraction mapping defined over a common solution set of variational inclusion and fixed po...

    Authors: Doaa Filali, Mohammad Dilshad, Mohammad Akram, Feeroz Babu and Izhar Ahmad
    Citation: Journal of Inequalities and Applications 2021 2021:66
  2. In (Pal et al. in Linear Multilinear Algebra 64(12):2463–2473, 2016), Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions. This paper ...

    Authors: Mustapha Raïssouli and Shigeru Furuichi
    Citation: Journal of Inequalities and Applications 2021 2021:65
  3. In this paper, we introduce a new algorithm by incorporating an inertial term with a subgradient extragradient algorithm to solve the equilibrium problems involving a pseudomonotone and Lipschitz-type continuo...

    Authors: Habib ur Rehman, Poom Kumam, Aviv Gibali and Wiyada Kumam
    Citation: Journal of Inequalities and Applications 2021 2021:63
  4. This paper is on general methods of convergence and summability. We first present the general method of convergence described by free filters of http://static-content.springer.com/image/art%3A10.1186%2Fs13660-021-02587-x/13660_2021_2587_Article_IEq1.gif

    Authors: Francisco Javier García-Pacheco, Ramazan Kama and María del Carmen Listán-García
    Citation: Journal of Inequalities and Applications 2021 2021:62
  5. This research paper deals with general solution and the Hyers–Ulam stability of a new generalized n-variable mixed type of additive and quadratic functional equations in fuzzy modular spaces by using the fixed po...

    Authors: Murali Ramdoss, Divyakumari Pachaiyappan, Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2021 2021:61
  6. Quadratic programming is potentially capable of strategic decision making in real world problems. However, practical problems rarely conform to crisp parameters, and hence the prospects of these problems with ...

    Authors: Sumati Mahajan, S. K. Gupta, Izhar Ahmad and S. Al-Homidan
    Citation: Journal of Inequalities and Applications 2021 2021:60
  7. This article has been retracted. Please see the Retraction Notice for more detail: https://​doi.​org/​10.​1186/​s13660-021-02596-w

    Authors: Jianguo Sun, Binghang He and Corchado Peixoto-de-Büyükkurt
    Citation: Journal of Inequalities and Applications 2021 2021:59

    The original article was published in Journal of Inequalities and Applications 2015 2015:256

  8. As is well known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate versions of such functions and polynomials, degenerate polylogarithm functions were introdu...

    Authors: Taekyun Kim, Dae San Kim, Jongkyum Kwon and Hyunseok Lee
    Citation: Journal of Inequalities and Applications 2021 2021:58
  9. We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a Sasakian manifold determines a vector field v on a hypersurface that is the component of the Reeb vector field ξ tangent...

    Authors: Sharief Deshmukh, Olga Belova, Nasser Bin Turki and Gabriel-Eduard Vîlcu
    Citation: Journal of Inequalities and Applications 2021 2021:54
  10. For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP). This problem ...

    Authors: Araya Kheawborisut and Atid Kangtunyakarn
    Citation: Journal of Inequalities and Applications 2021 2021:53
  11. Bieberbach’s conjecture was very important in the development of geometric function theory, not only because of the result itself, but also due to the large amount of methods that have been developed in search...

    Authors: Hugo Arbeláez, Víctor Bravo, Rodrigo Hernández, Willy Sierra and Osvaldo Venegas
    Citation: Journal of Inequalities and Applications 2021 2021:48
  12. In a recently published theorem on the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings, Tang et al. (J. Inequal. Appl. 2015:305, 2015) studied a uniformly co...

    Authors: C. E. Chidume
    Citation: Journal of Inequalities and Applications 2021 2021:47
  13. In this paper, using a Bregman distance technique, we introduce a new single projection process for approximating a common element in the set of solutions of variational inequalities involving a pseudo-monoton...

    Authors: Lateef Olakunle Jolaoso, Yekini Shehu and Yeol Je Cho
    Citation: Journal of Inequalities and Applications 2021 2021:44
  14. In this paper, we consider and investigate a convex minimization problem of the sum of two convex functions in a Hilbert space. The forward-backward splitting algorithm is one of the popular optimization metho...

    Authors: Suthep Suantai, Pachara Jailoka and Adisak Hanjing
    Citation: Journal of Inequalities and Applications 2021 2021:42
  15. This paper deals with nonlocal fractional p-Laplacian problems with difference. We get a theorem which shows existence of a sequence of weak solutions for a family of nonlocal fractional p-Laplacian problems with...

    Authors: Q-Heung Choi and Tacksun Jung
    Citation: Journal of Inequalities and Applications 2021 2021:41
  16. This paper addresses the issue of stability of a class of multiple unstable Cohen–Grossberg neural networks(CGNNs) under impulsive control. Some novel sufficient conditions are given to make the unstable equil...

    Authors: Songfang Jia and Yanheng Chen
    Citation: Journal of Inequalities and Applications 2021 2021:39
  17. We propose an inertial KM-type extragradient scheme to approximate a common solution of a variational inequality problem and a hierarchical fixed point problem for nonexpansive mappings. This scheme generalize...

    Authors: Ghada AlNemer, Rehan Ali and K. R. Kazmi
    Citation: Journal of Inequalities and Applications 2021 2021:38
  18. In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville–Caputo setting with mixed integro-derivative boundary conditions. To do this, Kura...

    Authors: Hakimeh Mohammadi, Dumitru Baleanu, Sina Etemad and Shahram Rezapour
    Citation: Journal of Inequalities and Applications 2021 2021:36
  19. In this paper, we consider the semidifferentiable case of an interval-valued minimization problem and establish sufficient optimality conditions and Wolfe type as well as Mond–Weir type duality theorems under ...

    Authors: Kin Keung Lai, Avanish Shahi and Shashi Kant Mishra
    Citation: Journal of Inequalities and Applications 2021 2021:35
  20. The main objective of this paper is to establish some new Hermite–Hadamard type inequalities involving k-Riemann–Liouville fractional integrals. Using the convexity of differentiable functions some related inequa...

    Authors: Shanhe Wu, Sajid Iqbal, Muhammad Aamir, Muhammad Samraiz and Awais Younus
    Citation: Journal of Inequalities and Applications 2021 2021:32
  21. In this paper, we discuss some new Hilbert-type dynamic inequalities on time scales in two separate variables. We also deduce special cases, like some integral and their respective discrete inequalities.

    Authors: H. A. Abd El-Hamid, H. M. Rezk, A. M. Ahmed, Ghada AlNemer, M. Zakarya and H. A. El Saify
    Citation: Journal of Inequalities and Applications 2021 2021:31
  22. This article is devoted to the study of the source function for the Caputo–Fabrizio time fractional diffusion equation. This new definition of the fractional derivative has no singularity. In other words, the ...

    Authors: Le Nhat Huynh, Nguyen Hoang Luc, Dumitru Baleanu and Le Dinh Long
    Citation: Journal of Inequalities and Applications 2021 2021:28
  23. A Polak–Ribière–Polyak (PRP) algorithm is one of the oldest and popular conjugate gradient algorithms for solving nonlinear unconstrained optimization problems. In this paper, we present a q-variant of the PRP (q

    Authors: Shashi Kant Mishra, Suvra Kanti Chakraborty, Mohammad Esmael Samei and Bhagwat Ram
    Citation: Journal of Inequalities and Applications 2021 2021:25
  24. In this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second...

    Authors: Chalongchai Klanarong and Inthira Chaiya
    Citation: Journal of Inequalities and Applications 2021 2021:21
  25. We generalize the concepts of normalized duality mapping, J-orthogonality and Birkhoff orthogonality from normed spaces to smooth countably normed spaces. We give some basic properties of J-orthogonality in smoot...

    Authors: Sarah Tawfeek, Nashat Faried and H. A. El-Sharkawy
    Citation: Journal of Inequalities and Applications 2021 2021:20

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