An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality by Chengfu Wang, Pengcheng Wu, Yuying Zhou

“…This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques and the variational method, and the existence results of an optimal control for the optimal control problem governed by a Kirchhoff-type variational inequality are derived.…”
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A New Iterative Algorithm for General Variational Inequality Problem with Applications by Aysha Khan, M. Akram, M. Dilshad, J. Shafi

“…This study aims at investigation of a generalized variational inequality problem. We initiate a new iterative algorithm and examine its convergence analysis. …”
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A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings by Zhi-bin Liu, Jian-hong Gou, Yi-bin Xiao, Xue-song Li

“…By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities concerning set-valued mappings, which includes as special cases many problems of hemivariational inequalities studied in recent literatures, is solvable. …”
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Spatial indicators of inequity in urban health research: a scoping review by Ana L. Favarão Leão, Raúl D. Gierbolini-Rivera, Milena Franco Silva, Courtney Shaw, Áine O’Connor, Deborah Salvo, Rodrigo Siqueira Reis

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Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application by Sercan Turhan

“…In this paper, a mapping M(t) is considered to get some preliminary results and a new trapezoidal form of Fejér inequality related to the harmonically arithmetic convex functions. …”
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Viscosity Methods of Asymptotically Pseudocontractive and Asymptotically Nonexpansive Mappings for Variational Inequalities by Xionghua Wu, Yeong-Cheng Liou, Zhitao Wu, Pei-Xia Yang

“…As an application, if 𝑇 be an asymptotically nonexpansive self-mapping of a nonempty bounded closed convex subset 𝐾 of a real Banach space with a uniformly Gateaux differentiable norm and which possesses uniform normal structure, we prove that the iterative process defined by 𝑧0∈𝐾,𝑧𝑛+1=(1−𝑡𝑛/𝑘𝑛)𝑓(𝑧𝑛)+(𝛼𝑡𝑛/𝑘𝑛)𝑇𝑛𝑧𝑛+(𝛽𝑡𝑛/𝑘𝑛)𝑧𝑛 converges strongly to the fixed point of 𝑇.…”
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Strichartz Inequalities for the Wave Equation with the Full Laplacian on H-Type Groups by Heping Liu, Manli Song

“…We generalize the dispersive estimates and Strichartz inequalities for the solution of the wave equation related to the full Laplacian on H-type groups, by means of Besov spaces defined by a Littlewood-Paley decomposition related to the spectral of the full Laplacian. …”
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Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities by Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab

“…We introduce and consider a new class of equilibrium problems and variational inequalities involving bifunction, which is called the nonconvex bifunction equilibrium variational inequality. …”
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Some New Ostrowski-Type Inequalities Involving σ-Fractional Integrals by Bandar B. Mohsen, Muhammad Uzair Awan, Muhammad Zakria Javed, Muhammad Aslam Noor, Khalida Inayat Noor

“…The aim of this paper is to derive some new fractional analogues of Ostrowski-type inequalities involving bounded functions using the concept of σ-Riemann–Liouville fractional integrals.…”
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Forward-backward resolvent splitting methods for general mixed variational inequalities by Muhammad Aslam Noor, Muzaffar Akhter, Khalida Inayat Noor

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Health and Educational Inequalities among the Third Gender Community in Lahore, Pakistan by Ayesha Humayun, Muhammad Hassan, Hira Ashfaq, Zulqarnain Haider, Nauman Naeem, Mubashar Munir

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Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals by Muhammad Adil Khan, Yousaf Khurshid, Ting-Song Du, Yu-Ming Chu

“…We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.…”
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Novel Algorithms for Solving a System of Absolute Value Variational Inequalities by Safeera Batool, Muhammad Aslam Noor, Riaz Ahmad, Ilyas Khan, Mulugeta Andualem

“…By utilizing an auxiliary principle and the existence result, we propose several new iterative algorithms for solving the system of absolute value auxiliary variational inequalities in the frame of four different operators. …”
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A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel by Qiong Liu, Wenbing Sun

“…A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real analysis. …”
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Inequality degree within the country in the context of realising the Sustainable Development Goals by L. A. Davletshina, M. S. Telyuk, N. A. Sadovnikova

“…The article assesses the inequality degree within Russia in the context of realising the Sustainable Development Goals. …”
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Characterizations of Orlicz-Sobolev Spaces by Means of Generalized Orlicz-Poincaré Inequalities by Toni Heikkinen

“…We show that a function u∈LΦ(ℝn) belongs to the Orlicz-Sobolev space W1,Φ(ℝn) if and only if it satisfies the (generalized) Φ-Poincaré inequality. Under more restrictive assumptions on Φ, an analog of the result holds in a general metric measure space setting.…”
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Refinements of Jensen’s Inequality via Majorization Results with Applications in the Information Theory by Yongping Deng, Hidayat Ullah, Muhammad Adil Khan, Sajid Iqbal, Shanhe Wu

“…In this study, we present some new refinements of the Jensen inequality with the help of majorization results. …”
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Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality by Niufa Fang, Jin Yang

“…Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-concave functions, and its related affine isoperimetric inequality is also established.…”
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Integer Solutions of Integral Inequalities and 𝐻-Invariant Jacobian Poisson Structures by G. Ortenzi, V. Rubtsov, S. R. Tagne Pelap

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Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators by R. Chandrashekar, Rosihan M. Ali, K. G. Subramanian, A. Swaminathan

“…Sufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third-order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. …”
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