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  1. We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applicatio...

    Authors: Stevo Stević, Bratislav Iričanin, Witold Kosmala and Zdeněk Šmarda
    Citation: Journal of Inequalities and Applications 2022 2022:88
  2. In our previous work, we have extended the hypercircle inequality (HI) to situations where the data error is known. Furthermore, the most recent result is applied to the problem of learning a function value in...

    Authors: Kannika Khompungson and Kamonrat Nammanee
    Citation: Journal of Inequalities and Applications 2022 2022:87
  3. Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new ...

    Authors: Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec and Markos Fisseha Yimer
    Citation: Journal of Inequalities and Applications 2022 2022:86
  4. In this paper, we have established some fixed point theorems in the context of strong b-metric spaces. For this purpose, Ciric type contraction for single-valued mapping and Nadler’s type Banach and Chatterjea...

    Authors: Asifa Tassaddiq, Shazia Kanwal, Saba Perveen and Rekha Srivastava
    Citation: Journal of Inequalities and Applications 2022 2022:85
  5. Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions an...

    Authors: Sina Etemad, Iram Iqbal, Mohammad Esmael Samei, Shahram Rezapour, Jehad Alzabut, Weerawat Sudsutad and Izzet Goksel
    Citation: Journal of Inequalities and Applications 2022 2022:84
  6. In this paper, we study a new class of non-hybrid single-valued fractional boundary value problems equipped with integro-non-hybrid-multiterm-multipoint-multistrip conditions and a fully hybrid integro-multi-v...

    Authors: Shahram Rezapour, Bashir Ahmad, Abdellatif Boutiara, Kamsing Nonlaopon and Sina Etemad
    Citation: Journal of Inequalities and Applications 2022 2022:82
  7. In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point ...

    Authors: Lu-Chuan Ceng, Jen-Chih Yao and Yekini Shehu
    Citation: Journal of Inequalities and Applications 2022 2022:78
  8. In the commenced work, we establish some best proximity point results for multivalued generalized contractions on partially ordered complete metric spaces along with the tactic of altering distance function. F...

    Authors: Satyendra Kumar Jain, Gopal Meena, Deepak Singh and Jitendra Kumar Maitra
    Citation: Journal of Inequalities and Applications 2022 2022:73
  9. This paper uses a novel numerical approach to approximate the coupled Cahn–Hilliard equations, which are a highly nonlinear system depicting the phase separation of the homopolymer and copolymer mixtures. The ...

    Authors: Lingfei Li, Yongsheng Yan, Fan Yang and Xiaoqiang Ma
    Citation: Journal of Inequalities and Applications 2022 2022:71
  10. In this paper, we introduce an inertial Halpern-type iterative algorithm for approximating a zero of the sum of two monotone operators in the setting of real Banach spaces that are 2-uniformly convex and unifo...

    Authors: Abubakar Adamu, Duangkamon Kitkuan, Poom Kumam, Anantachai Padcharoen and Thidaporn Seangwattana
    Citation: Journal of Inequalities and Applications 2022 2022:70
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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

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