The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations by Yanli Chen, Yongxiang Li

“…Our analysis relies on the fixed point index theory in cones.…”
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A comparative analysis of transitions generated using the Unity game development platform by Marek Tabiszewski

“…The study compares animations by calculating the average deviation in bone rotation and position between the original and generated motion throughout the animation. …”
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Multiplicity of Quasilinear Schrödinger Equation by Xiaorong Luo, Anmin Mao, Xiangxiang Wang

“…In this paper, we study the quasilinear Schrödinger equation involving concave and convex nonlinearities. When the pair of parameters belongs to a certain subset of ℝ2, we establish the existence of a nontrivial mountain pass-type solution and infinitely many negative energy solutions by using some new techniques and dual fountain theorem. …”
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Some Properties of lp(A,X) Spaces by Xiaohong Fu, Songxiao Li

“…We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1≤p<∞ and determine its continuous dual for normed space X and 1<p<∞. …”
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Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions by Wenbo Xu, Muhammad Imran, Faisal Yasin, Nazia Jahangir, Qunli Xia

“…In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. …”
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Notes on an Ex White Man’s Form of Life Toward Social Death by Andrew Santana Kaplan

“… This paper considers John Brown as a paradigmatic respondent to James Cone’s and Frank Wilderson’s charges for Humanity to “become Black.” …”
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Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions by Jiqiang Jiang, Lishan Liu, Yonghong Wu

“…By using the fixed point theory in cones, explicit range for λ and μ is derived such that for any λ and μ lie in their respective interval, the existence of at least one positive solution to the boundary value system is guaranteed.…”
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Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity by Antonio Olivas Martinez, Georgy A. Omel'yanov

“…We consider the Riemann problem for the Hopf equation with concave-convex flux functions. Applying the weak asymptotics method we construct a uniform in time description for the Cauchy data evolution and show that the use of this method implies automatically the appearance of the Oleinik E-condition.…”
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On Abelian and Related Fuzzy Subsets of Groupoids by Seung Joon Shin, Hee Sik Kim, J. Neggers

“…New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated.…”
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Fixed Points of Multivalued Nonself Almost Contractions by Maryam A. Alghamdi, Vasile Berinde, Naseer Shahzad

“…We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. …”
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Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications by De-ning Qu, Cao-zong Cheng

“…The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function. …”
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A Projection-Type Method for Multivalued Variational Inequality by Changjie Fang, Shenglan Chen, Jiming Zheng

“…The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values. Moreover, we present a necessary and sufficient condition on the nonemptiness of the solution set. …”
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On Mixed Quermassintegral for Log-Concave Functions by Fangwei Chen, Jianbo Fang, Miao Luo, Congli Yang

“…We obtain the integral expression of the ith functional mixed Quermassintegral, which is similar to the integral expression of the ith mixed Quermassintegral of convex bodies.…”
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On the existence of a solution for some distributed optimal control hyperbolic system by Dariusz Idczak, Stanislaw Walczak

“…We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable. …”
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Contractibility of Fixed Point Sets of Mean-Type Mappings by S. Iampiboonvatana, P. Chaoha

“…We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point sets of quasi-nonexpansive mappings in a nonstrictly convex setting.…”
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Quadruple Best Proximity Points with Applications to Functional and Integral Equations by Hasanen A. Hammad, Rashwan A. Rashwan, A. Nafea, Fahd Jarad

“…The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. …”
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A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus by Shujaat Ali Shah, Luminita-Ioana Cotirla, Adriana Catas, Calin Dubau, Gabriel Cheregi

“…Modified q-multiplier transformation is defined, and certain geometric properties such as the sufficient condition, distortion result, extreme points, and invariance of convex combination of the elements of the subclasses are discussed by employing the newly defined q-operator. …”
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On the fixed points of affine nonexpansive mappings by Hülya Duru

“…Let K be a closed convex bounded subset of a Banach space X and let T:K→K be a continuous affine mapping. …”
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Healthy Eating: Calcium by Linda B. Bobroff

“…This can lead to bone loss and the bone disease osteoporosis. Osteoporosis puts people at high risk for bone fractures. …”
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Asynchronous Gossip-Based Gradient-Free Method for Multiagent Optimization by Deming Yuan

“…The objective function of the problem is a sum of convex functions, each of which is known by a specific agent only. …”
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