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  1. The focus of this paper is mainly on the frames of operators or K-frames on Hilbert spaces in Parseval cases. Since equal-norm tight frames play an important role for transmitting robust data, we aim to study thi...

    Authors: Vahid Sadri and Gholamreza Rahimlou
    Citation: Journal of Inequalities and Applications 2022 2022:127
  2. Recent developments in split equilibrium problems (SEPs) have found practical applications in convex optimization problems, information theory, and signal processing. In this paper, we present three novel algo...

    Authors: Sakorn Mekruksavanich, Nattakarn Kaewyong, Anuchit Jitpattanakul and Kanokwan Sitthithakerngkiet
    Citation: Journal of Inequalities and Applications 2022 2022:125
  3. This paper is devoted to the study of a class of generalized nonexpansive mappings called generalized nearly asymptotically nonexpansive mappings and to show that it properly includes the class of nearly asymp...

    Authors: Javad Balooee, Shih-sen Chang and Lin Wang
    Citation: Journal of Inequalities and Applications 2022 2022:124
  4. In this research study, we investigate the existence and uniqueness of solutions for a coupled multiorder system of fractional differential equations involving coupled integro-differential boundary conditions ...

    Authors: Ayub Samadi, Jamshid Mohammadi and M. Mursaleen
    Citation: Journal of Inequalities and Applications 2022 2022:123
  5. In this research, we introduce some factorization for Hilbert operators of order n based on two important classes of Hausdorff operators, Cesàro and gamma. These factorizations lead us to some new inequalities, o...

    Authors: Hadi Roopaei
    Citation: Journal of Inequalities and Applications 2022 2022:121
  6. The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted...

    Authors: Ahmed A. El-Deeb, Karim A. Mohamed, Dumitru Baleanu and Haytham M. Rezk
    Citation: Journal of Inequalities and Applications 2022 2022:120
  7. Global error bounds of the extended vertical linear complementarity problems for Dashnic–Zusmanovich (DZ) matrices and Dashnic–Zusmanovich-B (DZ-B) matrices are presented, respectively. The obtained error bounds ...

    Authors: Yingxia Zhao and Deshu Sun
    Citation: Journal of Inequalities and Applications 2022 2022:117
  8. A coupled system of nonlinear self-adjoint second-order ordinary differential inclusions supplemented with nonlocal nonseparated coupled integral boundary conditions on an arbitrary domain is studied. The exis...

    Authors: Bashir Ahmad, Amal Almalki, Sotiris K. Ntouyas and Ahmed Alsaedi
    Citation: Journal of Inequalities and Applications 2022 2022:111
  9. The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for fuzzy set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, a...

    Authors: Shazia Kanwal, Mohammed Shehu Shagari, Hassen Aydi, Aiman Mukheimer and Thabet Abdeljawad
    Citation: Journal of Inequalities and Applications 2022 2022:110
  10. The aim of this paper is to prove some new fixed point results for a pair of multivalued dominated locally contractive mappings in b-multiplicative metric space. Further, fixed point theorems for multigraph-domin...

    Authors: Tahair Rasham and Manuel De La Sen
    Citation: Journal of Inequalities and Applications 2022 2022:107
  11. In this paper, we study the error estimates of local discontinuous Galerkin methods based on the generalized numerical fluxes for the one-dimensional linear fifth order partial differential equations. We use a...

    Authors: Hui Bi and Yixin Chen
    Citation: Journal of Inequalities and Applications 2022 2022:106
  12. Recently, frame multipliers, pair frames, and controlled frames have been investigated to improve the numerical efficiency of iterative algorithms for inverting the frame operator and other applications of fra...

    Authors: Maryam Firouzi Parizi, Azadeh Alijani and Mohammad Ali Dehghan
    Citation: Journal of Inequalities and Applications 2022 2022:104
  13. This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenv...

    Authors: Yanlin Li, Fatemah Mofarreh, Ravi P. Agrawal and Akram Ali
    Citation: Journal of Inequalities and Applications 2022 2022:102
  14. In a real normed linear space, when the quasirelative interior is not empty, a class of order relation is introduced with Minkowski difference. Two classes of nonlinear functions are introduced, and their prop...

    Authors: Pengxu Zhao, Yihong Xu and Bin Huang
    Citation: Journal of Inequalities and Applications 2022 2022:101
  15. In the present paper, we construct a new class of operators based on new type Bézier bases with a shape parameter λ and positive parameter s. Our operators include some well-known operators, such as classical Ber...

    Authors: Halil Gezer, Hüseyin Aktuğlu, Erdem Baytunç and Mehmet Salih Atamert
    Citation: Journal of Inequalities and Applications 2022 2022:96
  16. We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle. Further, we define and study the Ulam–Hyers stability and U...

    Authors: Mohamed Houas, Francisco Martínez, Mohammad Esmael Samei and Mohammed K. A. Kaabar
    Citation: Journal of Inequalities and Applications 2022 2022:93
  17. In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approxim...

    Authors: Pembe Sabancigil, Mustafa Kara and Nazim I. Mahmudov
    Citation: Journal of Inequalities and Applications 2022 2022:91
  18. In this article, we introduce a new type of non-expansive mapping, namely weakly K-nonexpansive mapping, which is weaker than non-expansiveness and stronger than quasi-nonexpansiveness. We prove some weak and str...

    Authors: Sayantan Panja, Kushal Roy, Marija V. Paunović, Mantu Saha and Vahid Parvaneh
    Citation: Journal of Inequalities and Applications 2022 2022:90
  19. In this paper, we find the optimal transmission of messages in computer networks. This problem has been formulated as a nondelayed optimal control problem in several recent papers on TCP (transmission control ...

    Authors: Kar-hung Wong, Yu-chung Eugene Lee and Heung-wing Joseph Lee
    Citation: Journal of Inequalities and Applications 2022 2022:89
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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

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