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  1. In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020:241, 2020) by using differential equations (García-Río et al. in J. Differ. Equ. 194(2):287–299, 2003; Pigola et al. in Math. Z. ...

    Authors: Akram Ali, Fatemah Mofarreh, Rifaqat Ali and Irfan Anjum Badruddin

    Citation: Journal of Inequalities and Applications 2021 2021:85

    Content type: Research

    Published on:

  2. In this paper, we propose a modified proximal point algorithm based on the Thakur iteration process to approximate the common element of the set of solutions of convex minimization problems and the fixed point...

    Authors: Sabiya Khatoon, Watcharaporn Cholamjiak and Izhar Uddin

    Citation: Journal of Inequalities and Applications 2021 2021:83

    Content type: Research

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  3. In this work, we establish Lyapunov-type inequalities for the fractional boundary value problems with Caputo–Hadamard fractional derivative subject to multipoint and integral boundary conditions. As far as we ...

    Authors: Youyu Wang, Yuhan Wu and Zheng Cao

    Citation: Journal of Inequalities and Applications 2021 2021:77

    Content type: Research

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  4. In this paper, we establish some new characterizations of weighted functions of dynamic inequalities containing a Hardy operator on time scales. These inequalities contain the characterization of Ariňo and Muc...

    Authors: S. H. Saker, J. Alzabut, A. I. Saied and D. O’Regan

    Citation: Journal of Inequalities and Applications 2021 2021:73

    Content type: Research

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  5. In this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions, where the convexity property of the target function is not assu...

    Authors: Slavko Simić and Bandar Bin-Mohsin

    Citation: Journal of Inequalities and Applications 2021 2021:72

    Content type: Research

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  6. The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral ...

    Authors: Gauhar Rahman, Kottakkaran Sooppy Nisar and Thabet Abdeljawad

    Citation: Journal of Inequalities and Applications 2021 2021:71

    Content type: Research

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  7. In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on th...

    Authors: Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano

    Citation: Journal of Inequalities and Applications 2021 2021:69

    Content type: Research

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  8. 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

    Content type: Research

    Published on:

  9. 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

    Content type: Research

    Published on:

  10. 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

    Content type: Research

    Published on:

  11. 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

    Content type: Research

    Published on:

  12. 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

    Content type: Research

    Published on:

  13. 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

    Content type: Research

    Published on:

  14. 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

    Content type: Retraction Note

    Published on:

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

  15. 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

    Content type: Research

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  16. 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

    Content type: Research

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  17. 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

    Content type: Research

    Published on:

  18. 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

    Content type: Research

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  19. 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

    Content type: Research

    Published on:

  20. 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

    Content type: Research

    Published on:

  21. 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

    Content type: Research

    Published on:

  22. 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

    Content type: Research

    Published on:

  23. 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

    Content type: Research

    Published on:

  24. 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

    Content type: Research

    Published on:

  25. 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

    Content type: Research

    Published on:

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