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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this set...

    Authors: Saeed Nazari Pasari, Ali Barani and Naser Abbasi
    Citation: Journal of Inequalities and Applications 2024 2024:25
  15. To make better decisions on approximation, we may need to increase reliable and useful information on different aspects of approximation. To enhance information about the quality and certainty of approximating...

    Authors: Azam Ahadi, Reza Saadati, Tofigh Allahviranloo and Donal O’Regan
    Citation: Journal of Inequalities and Applications 2024 2024:24
  16. In this article, we propose a viscosity extragradient algorithm together with an inertial extrapolation method for approximating the solution of pseudomonotone equilibrium and fixed point problem of a nonexpan...

    Authors: P. V. Ndlovu, L. O. Jolaoso, M. Aphane and H. A. Abass
    Citation: Journal of Inequalities and Applications 2024 2024:21
  17. In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of ...

    Authors: Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif and Poom Kumam
    Citation: Journal of Inequalities and Applications 2024 2024:17
  18. Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article. Under a special choice of ...

    Authors: H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu and Qin Xin
    Citation: Journal of Inequalities and Applications 2024 2024:16
  19. This article considers and investigates a variational inequality problem and fixed-point problems in real Hilbert spaces endowed with graphs. A regularization method is proposed for solving a G-variational inequa...

    Authors: Wongvisarut Khuangsatung, Akarate Singta and Atid Kangtunyakarn
    Citation: Journal of Inequalities and Applications 2024 2024:15
  20. Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we in...

    Authors: Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi and Thabet Abdeljawad
    Citation: Journal of Inequalities and Applications 2024 2024:14
  21. In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions....

    Authors: Maliha Rashid, Naeem Saleem, Rabia Bibi and Reny George
    Citation: Journal of Inequalities and Applications 2024 2024:13
  22. In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard f...

    Authors: Mohamed Houas, Mohammad Esmael Samei, Shyam Sundar Santra and Jehad Alzabut
    Citation: Journal of Inequalities and Applications 2024 2024:12

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