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  1. In this paper, we define a new concept of left and right coordinate affine of a directed graph and then employ it to introduce a new accelerated common fixed point algorithm for a countable family of G-nonexpansi...

    Authors: Rattanakorn Wattanataweekul and Kobkoon Janngam
    Citation: Journal of Inequalities and Applications 2022 2022:68
  2. In this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces. We sh...

    Authors: Yasir Arfat, Olaniyi S. Iyiola, Muhammad Aqeel Ahmad Khan, Poom Kumam, Wiyada Kumam and Kanokwan Sitthithakerngkiet
    Citation: Journal of Inequalities and Applications 2022 2022:67
  3. In this study, we investigate some inequalities estimating the error of approximation for new defined tensor product kind quantum beta-type operators on rectangular regions, and we give an inequality in weight...

    Authors: Esma Yıldız Özkan
    Citation: Journal of Inequalities and Applications 2022 2022:66
  4. In this paper we prove new continuous refinements of some Jensen type inequalities in both direct and reversed forms. As applications we also derive some continuous refinements of Hermite–Hadamard, Hölder, and...

    Authors: Ludmila Nikolova, Lars-Erik Persson and Sanja Varošanec
    Citation: Journal of Inequalities and Applications 2022 2022:63
  5. A remarkable result on summability states that the statistical convergence and the strong Cesàro convergence are closely connected. Given a modulus function f, we will establish that a double sequence that is f-s...

    Authors: Fernando León-Saavedra, María del Carmen Listán-García and María del Pilar Romero de la Rosa
    Citation: Journal of Inequalities and Applications 2022 2022:62
  6. In this paper, we introduce a new generalized p-dimensional multifarious radical reciprocal functional equation combining three classical means: arithmetic, geometric, and harmonic. Mainly, we find its general so...

    Authors: Divyakumari Pachaiyappan, Ramdoss Murali, Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2022 2022:60
  7. In this paper, we present new iterative techniques for approximating the solution of an equilibrium problem involving a pseudomonotone and a Lipschitz-type bifunction in Hilbert spaces. These techniques consis...

    Authors: Habib ur Rehman, Poom Kumam, Ioannis K. Argyros, Wiyada Kumam and Meshal Shutaywi
    Citation: Journal of Inequalities and Applications 2022 2022:58
  8. A thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using ...

    Authors: Jehad Alzabut, A. George Maria Selvam, Raghupathi Dhineshbabu, Swati Tyagi, Mehran Ghaderi and Shahram Rezapour
    Citation: Journal of Inequalities and Applications 2022 2022:56
  9. This paper is devoted to studying the approximate controllability for second-order impulsive differential inclusions with infinite delay. For proving the main results, we use the results related to the cosine ...

    Authors: Kottakkaran Sooppy Nisar and Velusamy Vijayakumar
    Citation: Journal of Inequalities and Applications 2022 2022:53
  10. In this article, we introduce a new geometrical structure that is the hybrid of a cone metric space over Banach algebra and a controlled metric-type space. We introduce a new metric space and prove analogs of ...

    Authors: Wahid Ullah, Hüseyin Işık, Nouman Alam, Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2022 2022:52
  11. We introduce a new subgradient extragradient algorithm utilizing the concept of the set of solutions of the split modified system of variational inequality problems (SMSVIP). Our main theorem is weak convergen...

    Authors: Anchalee Sripattanet and Atid Kangtunyakarn
    Citation: Journal of Inequalities and Applications 2022 2022:51
  12. In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals. S...

    Authors: Fazilat Bibi, Rabia Bibi, Ammara Nosheen and Josip Pečarić
    Citation: Journal of Inequalities and Applications 2022 2022:50
  13. In this paper, we study the problem of finding the solution of the system of monotone variational inclusion problems recently introduced by Chang et al. (Optimization 70(12):2511–2525, 2020) with the constraint o...

    Authors: Timilehin O. Alakoya, Victor A. Uzor, Oluwatosin T. Mewomo and Jen-Chih Yao
    Citation: Journal of Inequalities and Applications 2022 2022:47
  14. The main objective of the present article is to prove some new delay nonlinear dynamic inequalities of Gronwall–Bellman–Pachpatte type on time scales. We introduce very important generalized results with the h...

    Authors: Ahmed A. El-Deeb and Dumitru Baleanu
    Citation: Journal of Inequalities and Applications 2022 2022:45
  15. The goal of this manuscript is to establish quadruple fixed-point and coincidence-point consequences in the setting of generalized metric spaces equipped with vector-valued metrics and matrix equations. Moreov...

    Authors: Hasanen A. Hammad and Thabet Abdeljawad
    Citation: Journal of Inequalities and Applications 2022 2022:44
  16. The concept of Tribonacci sequence spaces by the domain of a regular Tribonacci matrix was introduced by Yaying and Hazarika (Math. Slovaca 70(3):697–706, 2000). In this paper, by using the domain of regular Trib...

    Authors: Vakeel A. Khan, Mohammad Arshad and Mohammad Daud Khan
    Citation: Journal of Inequalities and Applications 2022 2022:42
  17. Asymptotic behaviors of the extremes of the beta-normal distribution are derived. The higher-order asymptotic expansions of the probability density and cumulative distribution functions for the maximum are giv...

    Authors: Yingying Jiang and Baokun Li
    Citation: Journal of Inequalities and Applications 2022 2022:41
  18. In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fracti...

    Authors: Hüseyin Budak, Seda Kılınç Yıldırım, Mehmet Zeki Sarıkaya and Hüseyin Yıldırım
    Citation: Journal of Inequalities and Applications 2022 2022:40
  19. The fuzzy set theory enables us to represent our knowledge under multiple interpretations and axiomatic foundations from linguistic to computational representations. While the intuitionistic fuzzy set, as a ge...

    Authors: Ting Xie and Dapeng Li
    Citation: Journal of Inequalities and Applications 2022 2022:39
  20. Many practical problems, such as computer science, communications network, product design, system control, statistics and finance, etc.,can be formulated as a probabilistic constrained optimization problem (PC...

    Authors: Yong H. Ren, Ying Xiong, Yu H. Yan and Jian Gu
    Citation: Journal of Inequalities and Applications 2022 2022:38
  21. The manuscript is an extension of the investigations concerning θ-contractions which have been newly proposed in (Jleli and Samet in J. Inequal. Appl. 2014:38, 2014). The authors generalize the notion of θ-contra...

    Authors: Amjad Ali, Muhammad Arshad, Aftab Hussain, Nawab Hussain and Saud Mastour Alsulami
    Citation: Journal of Inequalities and Applications 2022 2022:37
  22. The concept of α-admissible mapping introduced by Samet et al. (Nonlinear Anal. 75:2154–2165, 2012) has various generalizations. In this paper, we introduce the concept of http://static-content.springer.com/image/art%3A10.1186%2Fs13660-022-02767-3/13660_2022_2767_Article_IEq1.gif ...

    Authors: Ningthoujam Priyobarta, Yumnam Rohen, Stephen Thounaojam and Stojan Radenović
    Citation: Journal of Inequalities and Applications 2022 2022:34
  23. The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyp...

    Authors: Arumugam Ponmana Selvan and Abbas Najati
    Citation: Journal of Inequalities and Applications 2022 2022:32
  24. In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions’ existence for a class of nonlinear fractional q-difference equations in the context of ...

    Authors: Abdellatif Boutiara, Maamar Benbachir, Mohammed K. A. Kaabar, Francisco Martínez, Mohammad Esmael Samei and Melike Kaplan
    Citation: Journal of Inequalities and Applications 2022 2022:29
  25. In this article, we propose a faster iterative scheme, called the AH iterative scheme, for approximating fixed points of contractive-like mappings and Reich–Suzuki-type nonexpansive mappings. We show that the ...

    Authors: Austine Efut Ofem, Hüseyin Işık, Faeem Ali and Junaid Ahmad
    Citation: Journal of Inequalities and Applications 2022 2022:28
  26. In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and ...

    Authors: Reşat Aslan and M. Mursaleen
    Citation: Journal of Inequalities and Applications 2022 2022:26
  27. We present an example of a difference equation of arbitrary order, possessing the right-hand side function that is homogeneous to a certain degree and nonincreasing in each variable, which has a unique positiv...

    Authors: Stevo Stević, Bratislav Iričanin, Witold Kosmala and Zdeněk Šmarda
    Citation: Journal of Inequalities and Applications 2022 2022:25
  28. In the current paper, a generalized Montgomery identity is obtained with the help of Taylor’s formula on time scales. The obtained identity is used to establish Ostrowski inequality, mid-point inequality, and ...

    Authors: Sumaiya Malik, Khuram Ali Khan, Ammara Nosheen and Khalid Mahmood Awan
    Citation: Journal of Inequalities and Applications 2022 2022:24
  29. In this paper, necessary and sufficient conditions for the boundedness and compactness of one class of integral operators with power and logarithmic singularities in weighted Lebesgue spaces are obtained.

    Authors: Akbota Abylayeva, Ryskul Oinarov and Bolat Seilbekov
    Citation: Journal of Inequalities and Applications 2022 2022:23
  30. The design of optimal Magnetic Resonance Imaging (MRI) coils is modeled as a minimum-norm problem (MNP), that is, as an optimization problem of the form http://static-content.springer.com/image/art%3A10.1186%2Fs13660-022-02757-5/13660_2022_2757_Article_IEq1.gif

    Authors: Soledad Moreno-Pulido, Alberto Sánchez-Alzola and Francisco Javier García-Pacheco
    Citation: Journal of Inequalities and Applications 2022 2022:22

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