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  1. We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove...

    Authors: Godwin Amechi Okeke, Daniel Francis, Manuel de la Sen and Mujahid Abbas
    Citation: Journal of Inequalities and Applications 2021 2021:163
  2. We establish the Ulam stability of a first-order linear nonautonomous quantum equation with Cayley parameter in terms of the behavior of the nonautonomous coefficient function. We also provide details for some...

    Authors: Douglas R. Anderson and Masakazu Onitsuka
    Citation: Journal of Inequalities and Applications 2021 2021:161
  3. We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some...

    Authors: Chanitnan Jaipranop and Satit Saejung
    Citation: Journal of Inequalities and Applications 2021 2021:160
  4. In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators. By means of the sum-type mixed monotone oper...

    Authors: Bibo Zhou and Lingling Zhang
    Citation: Journal of Inequalities and Applications 2021 2021:159
  5. In this paper, the dynamical behaviors for multiple delayed latent virus model with virus-to-cell infection and cell-to-cell transmissions and humoral immunity are investigated. The virus-to-cell and cell-to-c...

    Authors: Hui Miao, Rong Liu and Meiyan Jiao
    Citation: Journal of Inequalities and Applications 2021 2021:156
  6. In this paper, we establish the pth mean consistency, complete consistency, and the rate of complete consistency for the wavelet estimator in a nonparametric regression model with m-extended negatively dependent ...

    Authors: Qihui He and Mingming Chen
    Citation: Journal of Inequalities and Applications 2021 2021:152
  7. In this paper, we study the Cauchy problems for quasilinear hyperbolic inequalities with nonlocal singular source term and prove the nonexistence of global weak solutions in the homogeneous and nonhomogeneous ...

    Authors: Suping Xiao and Zhong Bo Fang
    Citation: Journal of Inequalities and Applications 2021 2021:151
  8. In a real Hilbert space, let GSVI and CFPP represent a general system of variational inequalities and a common fixed point problem of a countable family of nonexpansive mappings and an asymptotically nonexpans...

    Authors: Long He, Yun-Ling Cui, Lu-Chuan Ceng, Tu-Yan Zhao, Dan-Qiong Wang and Hui-Ying Hu
    Citation: Journal of Inequalities and Applications 2021 2021:146
  9. In this paper, we prove that a three-step iteration process is stable for contractive-like mappings. It is also proved analytically and numerically that the considered process converges faster than some remark...

    Authors: Mohd Jubair, Faeem Ali and Javid Ali
    Citation: Journal of Inequalities and Applications 2021 2021:144
  10. We propose a method for constructing a generalized fuzzy Hausdorff distance on the set of the nonempty compact subsets of a given generalized fuzzy metric space in the sence of George–Veeramni and Tian–Ha–Tian...

    Authors: Alireza Alihajimohammad and Reza Saadati
    Citation: Journal of Inequalities and Applications 2021 2021:143
  11. In this paper, first we obtain a new identity for quantum integrals, the result is then used to prove midpoint type inequalities for differentiable coordinated convex mappings. The outcomes provided in this ar...

    Authors: Xuexiao You, Muhammad Aamir Ali, Samet Erden, Hüseyin Budak and Yu-Ming Chu
    Citation: Journal of Inequalities and Applications 2021 2021:142
  12. In this work, we introduce a new accelerated algorithm using a linesearch technique for solving convex minimization problems in the form of a summation of two lower semicontinuous convex functions. A weak conv...

    Authors: Panitarn Sarnmeta, Warunun Inthakon, Dawan Chumpungam and Suthep Suantai
    Citation: Journal of Inequalities and Applications 2021 2021:141
  13. By means of the weight functions, Hermite–Hadamard’s inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative ...

    Authors: Qiang Chen and Bicheng Yang
    Citation: Journal of Inequalities and Applications 2021 2021:138
  14. We investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function...

    Authors: Soh Edwin Mukiawa, Cyril Dennis Enyi and Tijani Abdulaziz Apalara
    Citation: Journal of Inequalities and Applications 2021 2021:137
  15. He (J. Inequal. Appl. 2012:Article ID 162 2012) introduced the proximal point CQ algorithm (PPCQ) for solving the split equilibrium problem (SEP). However, the PPCQ converges weakly to a solution of the SEP and i...

    Authors: Yusuf I. Suleiman, Poom Kumam, Habib ur Rehman and Wiyada Kumam
    Citation: Journal of Inequalities and Applications 2021 2021:136
  16. The main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of first order with constant coefficients using the Aboodh transform m...

    Authors: Ramdoss Murali, Arumugam Ponmana Selvan, Sanmugam Baskaran, Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2021 2021:133
  17. In this paper, we establish new inequalities in the setting of 2-metric spaces and provide their geometric interpretations. Some of our results are extensions of those obtained by Dragomir and Goşa (J. Indones...

    Authors: Mohamed Jleli and Bessem Samet
    Citation: Journal of Inequalities and Applications 2021 2021:130
  18. In this paper, we found a common fixed point for several multivalued mappings on proximinal sets in regular modular metric space. Also, we introduced the notions of conjoint F-proximinal contraction as well as...

    Authors: N. Faried, H. Abd El-Ghaffar and S. Hamdy
    Citation: Journal of Inequalities and Applications 2021 2021:129
  19. In 2010, Huang and Liu introduced a useful parameter called the generalized μ-scrambling indices of a primitive digraph. In this paper, we give some bounds for μ-scrambling indices of some primitive digraphs with...

    Authors: Ling Zhang, Gu-Fang Mou, Feng Liu and Zhong-Shan Li
    Citation: Journal of Inequalities and Applications 2021 2021:128
  20. We introduce the notion of generalized parametric metric spaces along with the study of its various properties. Further, we prove some new fixed point theorems for http://static-content.springer.com/image/art%3A10.1186%2Fs13660-021-02661-4/13660_2021_2661_Article_IEq1.gif ...

    Authors: Thounaojam Stephen, Yumnam Rohen, Nabil Mlaiki, Mairembam Bina, Nawab Hussain and Doaa Rizk
    Citation: Journal of Inequalities and Applications 2021 2021:125
  21. In this paper, we obtain some inequalities about commutators of a rough p-adic fractional Hardy-type operator on Herz-type spaces when the symbol functions belong to two different function spaces.

    Authors: Amjad Hussain, Naqash Sarfraz, Ilyas Khan, Abdelaziz Alsubie and Nawaf N. Hamadneh
    Citation: Journal of Inequalities and Applications 2021 2021:123

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