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  1. In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in gen...

    Authors: Syed Zaheer Ullah, Muhammad Adil Khan and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2019 2019:291

    Content type: Research

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  2. The goal of this work is to introduce an extended interpolative Ćirić–Reich–Rus type contraction by the approach of Wardowski. We establish some related fixed point results (for single and multivalued-mappings...

    Authors: Babak Mohammadi, Vahid Parvaneh and Hassen Aydi

    Citation: Journal of Inequalities and Applications 2019 2019:290

    Content type: Research

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  3. In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means. As appli...

    Authors: Wei-Mao Qian, Yue-Ying Yang, Hong-Wei Zhang and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2019 2019:287

    Content type: Research

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  4. The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special members. Among the family of the exponential pseudo-s...

    Authors: Baoxing Zhang, Hongchan Zheng, Jie Zhou and Lulu Pan

    Citation: Journal of Inequalities and Applications 2019 2019:286

    Content type: Research

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  5. This paper aims to propose two new algorithms that are developed by implementing inertial and subgradient techniques to solve the problem of pseudomonotone equilibrium problems. The weak convergence of these a...

    Authors: Habib ur Rehman, Poom Kumam, Yeol Je Cho and Pasakorn Yordsorn

    Citation: Journal of Inequalities and Applications 2019 2019:282

    Content type: Research

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  6. In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following class...

    Authors: Abdellaziz Harrabi and Cherif Zaidi

    Citation: Journal of Inequalities and Applications 2019 2019:281

    Content type: Research

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  7. In this paper, we derive some Hartman–Wintner type inequalities for a certain higher order fractional boundary value problem. As an application of our results, we obtain a lower bound for the eigenvalues of th...

    Authors: Jackie Harjani, Kishin Sadarangani and Bessem Samet

    Citation: Journal of Inequalities and Applications 2019 2019:278

    Content type: Research

    Published on:

  8. This paper considers an iterative algorithm of solving the multiple-sets split equality problem (MSSEP) whose step size is independent of the norm of the related operators, and investigates its sublinear and l...

    Authors: Shijie Sun, Meiling Feng and Luoyi Shi

    Citation: Journal of Inequalities and Applications 2019 2019:277

    Content type: Research

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  9. The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show t...

    Authors: Nak Eun Cho, Virendra Kumar, Oh Sang Kwon and Young Jae Sim

    Citation: Journal of Inequalities and Applications 2019 2019:276

    Content type: Research

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  10. In this paper we introduce new classes of p-bounded variation sequences and give a sufficient and necessary condition for weighted integrability of trigonometric series with coefficients belonging to these classe...

    Authors: Bogdan Szal and Maciej Kubiak

    Citation: Journal of Inequalities and Applications 2019 2019:275

    Content type: Research

    Published on:

  11. Tensor eigenvalue problem is one of important research topics in tensor theory. In this manuscript, we consider the properties of Z-eigenpair of irreducible nonnegative tensors. By estimating the ratio of the sma...

    Authors: Xiaoyu Ma and Yisheng Song

    Citation: Journal of Inequalities and Applications 2019 2019:271

    Content type: Research

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  12. In this paper, we first introduce the two-step intermixed iteration for finding the common solution of a constrained convex minimization problem, and also we prove a strong convergence theorem for the intermix...

    Authors: Kanyanee Saechou and Atid Kangtunyakarn

    Citation: Journal of Inequalities and Applications 2019 2019:269

    Content type: Research

    Published on:

  13. In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on ...

    Authors: Taekyun Kim, Dae San Kim, Han Young Kim and Jongkyum Kwon

    Citation: Journal of Inequalities and Applications 2019 2019:265

    Content type: Research

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  14. The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to ge...

    Authors: Hui Lei, Gou Hu, Zhi-Jie Cao and Ting-Song Du

    Citation: Journal of Inequalities and Applications 2019 2019:264

    Content type: Research

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  15. In this paper, we introduce a new approach to the fractional derivation which generalizes the classical Hadamard fractional derivative. We prove some properties of this new approach and also establish some res...

    Authors: Muhammad Samraiz, Erhan Set, Muhammad Hasnain and Gauhar Rahman

    Citation: Journal of Inequalities and Applications 2019 2019:263

    Content type: Research

    Published on:

  16. This paper consider the existence, uniqueness and exponential stability in the pth moment of mild solution for impulsive neutral stochastic integro-differential equations driven simultaneously by fractional Brown...

    Authors: Xia Zhou, Dongpeng Zhou and Shouming Zhong

    Citation: Journal of Inequalities and Applications 2019 2019:262

    Content type: Research

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  17. We study an approximate coincidence point and a common fixed point problem for a hybrid pair of mappings with constraints in Menger PM-spaces, and obtain some new results. We derive interesting consequences of...

    Authors: Zhaoqi Wu, Mengdi Liu, Chuanxi Zhu and Chunfang Chen

    Citation: Journal of Inequalities and Applications 2019 2019:254

    Content type: Research

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  18. In this paper, we introduce a new viscosity-type iteration process for approximating a common solution of a finite family of split variational inclusion problem and fixed point problem. We prove that the propo...

    Authors: C. Izuchukwu, F. O. Isiogugu and C. C. Okeke

    Citation: Journal of Inequalities and Applications 2019 2019:253

    Content type: Research

    Published on:

  19. By using the concept of Γ-distance, we prove EVP (Ekeland’s variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m...

    Authors: Eshagh Hashemi, Reza Saadati and Choonkil Park

    Citation: Journal of Inequalities and Applications 2019 2019:250

    Content type: Research

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  20. In this study, we introduce a class of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence result. Also, we prove the sensitivity of the solution for the para...

    Authors: Kottakkaran Sooppy Nisar, Mohd. Sarfaraz, Ahmed Morsy and Md. Kalimuddin Ahmad

    Citation: Journal of Inequalities and Applications 2019 2019:249

    Content type: Research

    Published on:

  21. In this paper, we are concerned with the split equality common fixed point problem. It is a significant generalization of the split feasibility problem, which can be used in various disciplines, such as medici...

    Authors: Meixia Li, Xueling Zhou and Haitao Che

    Citation: Journal of Inequalities and Applications 2019 2019:248

    Content type: Research

    Published on:

  22. To solve large-scale unconstrained optimization problems, a modified PRP conjugate gradient algorithm is proposed and is found to be interesting because it combines the steepest descent algorithm with the conj...

    Authors: Gonglin Yuan, Tingting Li and Wujie Hu

    Citation: Journal of Inequalities and Applications 2019 2019:247

    Content type: Research

    Published on:

  23. Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl....

    Authors: Kottakkaran Sooppy Nisar, Gauhar Rahman and Khaled Mehrez

    Citation: Journal of Inequalities and Applications 2019 2019:245

    Content type: Research

    Published on:

  24. In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to gen...

    Authors: Gauhar Rahman, Thabet Abdeljawad, Aftab Khan and Kottakkaran Sooppy Nisar

    Citation: Journal of Inequalities and Applications 2019 2019:244

    Content type: Research

    Published on:

  25. Using the third-order differential subordination basic results, we introduce certain classes of admissible functions and investigate some applications of third-order differential subordination for p-valent functi...

    Authors: Hanaa M. Zayed and Teodor Bulboacă

    Citation: Journal of Inequalities and Applications 2019 2019:242

    Content type: Research

    Published on:

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