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  1. The stationary point of optimization problems can be obtained via conjugate gradient (CG) methods without the second derivative. Many researchers have used this method to solve applications in various fields, ...

    Authors: Ahmad Alhawarat, Zabidin Salleh, Hanan Alolaiyan, Hamid El Hor and Shahrina Ismail
    Citation: Journal of Inequalities and Applications 2024 2024:73
  2. In this study, we take into account the of modified Szász–Mirakyan–Kantorovich operators to obtain their rate of convergence using the modulus of continuity and for the functions in Lipschitz space. Then, we o...

    Authors: Neha Bhardwaj, Rashmi Singh, Aryan Chaudhary, Achyut Shankar and Rahul Kumar
    Citation: Journal of Inequalities and Applications 2024 2024:71
  3. In this article, we present a novel proximal gradient method based on double inertial steps for solving fixed points of demicontractive mapping and minimization problems. We also establish a weak convergence t...

    Authors: Thanasak Mouktonglang, Wipawinee Chaiwino and Raweerote Suparatulatorn
    Citation: Journal of Inequalities and Applications 2024 2024:69
  4. The alternating direction method of multipliers (ADMM) has been widely used to solve linear constrained problems in signal processing, matrix decomposition, machine learning, and many other fields. This paper ...

    Authors: Zhonghui Xue, Kaiyuan Yang, Qianfeng Ma and Yazheng Dang
    Citation: Journal of Inequalities and Applications 2024 2024:65
  5. In this paper, we obtain several results on the global existence, uniqueness and attractivity for fractional evolution equations involving the Riemann-Liouville type by exploiting some results on weakly singul...

    Authors: Caijing Jiang and Keji Xu
    Citation: Journal of Inequalities and Applications 2024 2024:64
  6. This manuscript focuses on a class of stochastic functional differential equations driven by time-changed Brownian motion. By utilizing the Lyapunov method, we capture some sufficient conditions to ensure that...

    Authors: Xianping He, Yaru Zhang, Yue Wang, Zhi Li and Liping Xu
    Citation: Journal of Inequalities and Applications 2024 2024:60
  7. In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new f...

    Authors: Deep Chand, Yumnam Rohen, Naeem Saleem, Maggie Aphane and Asima Razzaque
    Citation: Journal of Inequalities and Applications 2024 2024:59
  8. The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative...

    Authors: Tahair Rasham, Romana Qadir, Fady Hasan, R. P. Agarwal and Wasfi Shatanawi
    Citation: Journal of Inequalities and Applications 2024 2024:57
  9. In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are ...

    Authors: Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane and Rashid Jan
    Citation: Journal of Inequalities and Applications 2024 2024:55
  10. The combination of the time-scaling transformation and control parameterization has proven to be an effective approach in addressing optimal control problems involving switching systems with predefined subsyst...

    Authors: Xi Zhu, Yanqin Bai, Changjun Yu and Kok Lay Teo
    Citation: Journal of Inequalities and Applications 2024 2024:53
  11. We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature ...

    Authors: Mohammed Bakheet Almatrafi, Wedad Saleh, Abdelghani Lakhdari, Fahd Jarad and Badreddine Meftah
    Citation: Journal of Inequalities and Applications 2024 2024:52
  12. In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces....

    Authors: Abbas Najati, Yavar Khedmati Yengejeh, Kandhasamy Tamilvanan and Masho Jima Kabeto
    Citation: Journal of Inequalities and Applications 2024 2024:49
  13. The discrete analog of the differential operator plays a significant role in constructing interpolation, quadrature, and cubature formulas. In this work, we consider a discrete analog ...

    Authors: K. M. Shadimetov and J. R. Davronov
    Citation: Journal of Inequalities and Applications 2024 2024:46
  14. This paper introduces an innovative inertial simultaneous cyclic iterative algorithm designed to address a range of mathematical problems within the realm of split equality variational inequalities. Specifical...

    Authors: Charu Batra, Renu Chugh, Rajeev Kumar, Khaled Suwais, Sally Almanasra and Nabil Mlaiki
    Citation: Journal of Inequalities and Applications 2024 2024:40
  15. In this paper, we introduce and study a viscous-type extrapolation algorithm for finding a solution of the variational inequality problem and a fixed point constraint of quasi-nonexpansive mappings under the s...

    Authors: Jacob A. Abuchu, Austine E. Ofem, Hüseyin Işık, Godwin C. Ugwunnadi and Ojen K. Narain
    Citation: Journal of Inequalities and Applications 2024 2024:38
  16. In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a power-law type kernel. We prove the existence and uniqueness ...

    Authors: Yanru Wu, Monireh Nosrati Sahlan, Hojjat Afshari, Maryam Atapour and Ardashir Mohammadzadeh
    Citation: Journal of Inequalities and Applications 2024 2024:36
  17. In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al...

    Authors: S. Balamoorthy, T. Kavaskar and K. Vinothkumar
    Citation: Journal of Inequalities and Applications 2024 2024:34
  18. The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type ...

    Authors: D. Sagheer, S. Batul, A. Daim, A. Saghir, H. Aydi, S. Mansour and W. Kallel
    Citation: Journal of Inequalities and Applications 2024 2024:31
  19. The existence of solutions for a class of μ-Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ-integral boundary conditions are investigated. We use F-contraction, convex F

    Authors: Vahid Roomi, Hojjat Afshari and Sabileh Kalantari
    Citation: Journal of Inequalities and Applications 2024 2024:28

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