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  1. In this paper, we consider and investigate a convex minimization problem of the sum of two convex functions in a Hilbert space. The forward-backward splitting algorithm is one of the popular optimization metho...

    Authors: Suthep Suantai, Pachara Jailoka and Adisak Hanjing

    Citation: Journal of Inequalities and Applications 2021 2021:42

    Content type: Research

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  2. This paper deals with nonlocal fractional p-Laplacian problems with difference. We get a theorem which shows existence of a sequence of weak solutions for a family of nonlocal fractional p-Laplacian problems with...

    Authors: Q-Heung Choi and Tacksun Jung

    Citation: Journal of Inequalities and Applications 2021 2021:41

    Content type: Research

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  3. This paper addresses the issue of stability of a class of multiple unstable Cohen–Grossberg neural networks(CGNNs) under impulsive control. Some novel sufficient conditions are given to make the unstable equil...

    Authors: Songfang Jia and Yanheng Chen

    Citation: Journal of Inequalities and Applications 2021 2021:39

    Content type: Research

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  4. We propose an inertial KM-type extragradient scheme to approximate a common solution of a variational inequality problem and a hierarchical fixed point problem for nonexpansive mappings. This scheme generalize...

    Authors: Ghada AlNemer, Rehan Ali and K. R. Kazmi

    Citation: Journal of Inequalities and Applications 2021 2021:38

    Content type: Research

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  5. In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville–Caputo setting with mixed integro-derivative boundary conditions. To do this, Kura...

    Authors: Hakimeh Mohammadi, Dumitru Baleanu, Sina Etemad and Shahram Rezapour

    Citation: Journal of Inequalities and Applications 2021 2021:36

    Content type: Research

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  6. In this paper, we consider the semidifferentiable case of an interval-valued minimization problem and establish sufficient optimality conditions and Wolfe type as well as Mond–Weir type duality theorems under ...

    Authors: Kin Keung Lai, Avanish Shahi and Shashi Kant Mishra

    Citation: Journal of Inequalities and Applications 2021 2021:35

    Content type: Research

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  7. The main objective of this paper is to establish some new Hermite–Hadamard type inequalities involving k-Riemann–Liouville fractional integrals. Using the convexity of differentiable functions some related inequa...

    Authors: Shanhe Wu, Sajid Iqbal, Muhammad Aamir, Muhammad Samraiz and Awais Younus

    Citation: Journal of Inequalities and Applications 2021 2021:32

    Content type: Research

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  8. In this paper, we discuss some new Hilbert-type dynamic inequalities on time scales in two separate variables. We also deduce special cases, like some integral and their respective discrete inequalities.

    Authors: H. A. Abd El-Hamid, H. M. Rezk, A. M. Ahmed, Ghada AlNemer, M. Zakarya and H. A. El Saify

    Citation: Journal of Inequalities and Applications 2021 2021:31

    Content type: Research

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  9. This article is devoted to the study of the source function for the Caputo–Fabrizio time fractional diffusion equation. This new definition of the fractional derivative has no singularity. In other words, the ...

    Authors: Le Nhat Huynh, Nguyen Hoang Luc, Dumitru Baleanu and Le Dinh Long

    Citation: Journal of Inequalities and Applications 2021 2021:28

    Content type: Research

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  10. A Polak–Ribière–Polyak (PRP) algorithm is one of the oldest and popular conjugate gradient algorithms for solving nonlinear unconstrained optimization problems. In this paper, we present a q-variant of the PRP (q

    Authors: Shashi Kant Mishra, Suvra Kanti Chakraborty, Mohammad Esmael Samei and Bhagwat Ram

    Citation: Journal of Inequalities and Applications 2021 2021:25

    Content type: Research

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  11. In this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second...

    Authors: Chalongchai Klanarong and Inthira Chaiya

    Citation: Journal of Inequalities and Applications 2021 2021:21

    Content type: Research

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  12. We generalize the concepts of normalized duality mapping, J-orthogonality and Birkhoff orthogonality from normed spaces to smooth countably normed spaces. We give some basic properties of J-orthogonality in smoot...

    Authors: Sarah Tawfeek, Nashat Faried and H. A. El-Sharkawy

    Citation: Journal of Inequalities and Applications 2021 2021:20

    Content type: Research

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  13. Under the assumption that the range of varying uncertain parameters is known, some results of existence and stability of equilibria for population games with uncertain parameters are investigated in this paper...

    Authors: Wei Zhao, Hui Yang, Xicai Deng and Chongyi Zhong

    Citation: Journal of Inequalities and Applications 2021 2021:15

    Content type: Research

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  14. The purpose of this paper is to use multivariate statistical methods with asymmetric distributions approach, chemical analysis, and inductively coupled plasma–mass spectrometry (ICP-MS) device. We investigate ...

    Authors: Yasemin Leventeli and Fusun Yalcin

    Citation: Journal of Inequalities and Applications 2021 2021:14

    Content type: Research

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  15. We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras. We obtain an approximation for stochastic κ-random o...

    Authors: Masoumeh Madadi, Donal O’Regan, Themistocles M. Rassias and Reza Saadati

    Citation: Journal of Inequalities and Applications 2021 2021:13

    Content type: Research

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  16. We provide a generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, such as a characterization of Sobolev spaces or nonlocal modelization.

    Authors: Julio Muñoz

    Citation: Journal of Inequalities and Applications 2021 2021:11

    Content type: Research

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  17. The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained. In order to obtain the main results of ...

    Authors: Yu-Ming Chu, Sadia Talib, Erhan Set, Muhammad Uzair Awan and Muhammad Aslam Noor

    Citation: Journal of Inequalities and Applications 2021 2021:9

    Content type: Research

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  18. This article is devoted to the study of the existence and uniqueness of mild solution to a class of Riemann–Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brow...

    Authors: Min Yang and Haibo Gu

    Citation: Journal of Inequalities and Applications 2021 2021:8

    Content type: Research

    Published on:

  19. In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fr...

    Authors: Chahn Yong Jung, Ghulam Farid, Maja Andrić, Josip Pečarić and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2021 2021:7

    Content type: Research

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  20. The aim of this article is to prove some new dynamic inequalities of Hardy type on time scales with several functions. Our results contain some results proved in the literature, which are deduced as limited ca...

    Authors: Adnane Hamiaz, Waleed Abuelela, Samir H. Saker and Dumitru Baleanu

    Citation: Journal of Inequalities and Applications 2021 2021:3

    Content type: Research

    Published on:

  21. In this paper, we prove some properties of weighted Cesàro and Copson sequences spaces by establishing some factorization theorems. The results lead to two-sided norm discrete inequalities with best possible c...

    Authors: S. H. Saker, Maryam M. Abuelwafa, Ahmed M. Zidan and Dumitru Baleanu

    Citation: Journal of Inequalities and Applications 2021 2021:1

    Content type: Research

    Published on:

  22. A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized inco...

    Authors: Pshtiwan Othman Mohammed, Thabet Abdeljawad, Dumitru Baleanu, Artion Kashuri, Faraidun Hamasalh and Praveen Agarwal

    Citation: Journal of Inequalities and Applications 2020 2020:263

    Content type: Research

    Published on:

  23. In this paper, we introduce a new inertial self-adaptive projection method for finding a common element in the set of solution of pseudomonotone variational inequality problem and set of fixed point of a pseud...

    Authors: Lateef Olakunle Jolaoso and Maggie Aphane

    Citation: Journal of Inequalities and Applications 2020 2020:261

    Content type: Research

    Published on:

  24. In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions. We also present refi...

    Authors: Sadia Khalid and Josip Pečarić

    Citation: Journal of Inequalities and Applications 2020 2020:260

    Content type: Research

    Published on:

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