A Global Optimization Algorithm for Sum of Linear Ratios Problem by Yuelin Gao, Siqiao Jin

“…We equivalently transform the sum of linear ratios programming problem into bilinear programming problem, then by using the linear characteristics of convex envelope and concave envelope of double variables product function, linear relaxation programming of the bilinear programming problem is given, which can determine the lower bound of the optimal value of original problem. …”
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Proximinal subspaces of A(K) of finite codimension by T. S. S. R. K. Rao

“…We study an analogue of Garkavi's result on proximinal subspaces of C(X) of finite codimension in the context of the space A(K) of affine continuous functions on a compact convex set K. We give an example to show that a simple-minded analogue of Garkavi's result fails for these spaces. …”
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Mekkî ve Medenî Dönemde Cedelü’l-Kur’ân by Mehmet Yaşar

“…Bu süreçte Mekkî ve Medenî dönem temel alınacak ve örnekler üzerinden Kur’an’ın cedel üslûbu, tartışmada göz önünde bulundurduğu soyut-somut faktörler, gözettiği ilkeler yer yer muhataplarıyla mukayeseli bir şekilde irdelenecektir…”
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6545 SAYILI KANUN ÖNCESİ VE SONRASI ÖZELİNDE CUMHURİYET TARİHİNDEN GÜNÜMÜZE VERGİ YARGISI by Selçuk Buyrukoğlu

“…Ağırlıklı olarak 1982 sonrası dönem incelenecek olup, 6545 sayılı kanun kapsamındaki değişikliklere ayrıca yer verilecektir…”
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An Approximate Quasi-Newton Bundle-Type Method for Nonsmooth Optimization by Jie Shen, Li-Ping Pang, Dan Li

“…An implementable algorithm for solving a nonsmooth convex optimization problem is proposed by combining Moreau-Yosida regularization and bundle and quasi-Newton ideas. …”
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Iterative Schemes for Nonconvex Quasi-Variational Problems with V-Prox-Regular Data in Banach Spaces by M. Bounkhel, Dj. Bounekhel

“…In this paper, we propose an extension of quasi-equilibrium problems from the convex case to the nonconvex case and from Hilbert spaces to Banach spaces. …”
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A Family of Minimal Surfaces and Univalent Planar Harmonic Mappings by Michael Dorff, Stacey Muir

“…In the process, we use the Clunie and Sheil-Small shear construction for planar harmonic mappings convex in one direction. This family of minimal surfaces, through a continuous transformation, has connections with three well-known surfaces: Enneper’s surface, the wavy plane, and the helicoid. …”
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Facts about Potassium by R. Elaine Turner, Linda B. Bobroff

“… Potassium is a mineral found inside body cells. It is one of several minerals known as electrolytes. It is important because it helps regulate fluid and electrolyte balance, maintain normal blood pressure, transmit nerve impulses, control muscle contraction, and maintain healthy bones. …”
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A Newton-type method and its application by V. Antony Vijesh, P. V. Subrahmanyam

“…We prove an existence and uniqueness theorem for solving the operator equation F(x)+G(x)=0, where F is a continuous and Gâteaux differentiable operator and the operator G satisfies Lipschitz condition on an open convex subset of a Banach space. As corollaries, a recent theorem of Argyros (2003) and the classical convergence theorem for modified Newton iterates are deduced. …”
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Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order by Yi-An Chen, Dao-Jun Wen

“…We establish some weak and strong convergence theorems of fixed point for monotone generalized α-nonexpansive mapping in a uniformly convex Banach space with a partial order. Further, we provide a numerical example to illustrate the convergence behavior and effectiveness of the proposed iteration process.…”
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Existence of Solutions for Nonhomogeneous A-Harmonic Equations with Variable Growth by Yongqiang Fu, Lifeng Guo

“…We study the following nonhomogeneous A-harmonic equations: d*A(x,du(x))+B(x,u(x))=0,    x∈Ω,  u(x)=0,  x∈∂Ω, where Ω⊂ℝn is a bounded and convex Lipschitz domain, A(x,du(x)) and B(x,u(x)) satisfy some p(x)-growth conditions, respectively. …”
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Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems by Qingyu Su, Xiaolong Jia, Zhengfan Song

“…Based on these performances, sufficient conditions for the existence of filters are given in the framework of linear matrix inequality; furthermore, the filter gains are characterized by a convex optimization problem. The presented technique is validated by an example. …”
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Some remarks about Mackey convergence by Józef Burzyk, Thomas E. Gilsdorf

“…In this paper, we examine Mackey convergence with respect to K-convergence and bornological (Hausdorff locally convex) spaces. In particular, we prove that: Mackey convergence and local completeness imply property K; there are spaces having K- convergent sequences that are not Mackey convergent; there exists a space satisfying the Mackey convergence condition, is barrelled, but is not bornological; and if a space satisfies the biackey convergence condition and every sequentially continuous seminorm is continuous, then the space is bornological.…”
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Some Intersections of the Weighted -Spaces by F. Abtahi, H. G. Amini, H. A. Lotfi, A. Rejali

“…Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided. …”
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Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems by Lu-Chuan Ceng, Hong-Kun Xu, Ching-Feng Wen

“…We introduce a new relaxed viscosity approximation method with regularization and prove the strong convergence of the method to a common fixed point of finitely many nonexpansive mappings and a strict pseudocontraction that also solves a convex minimization problem and a suitable equilibrium problem.…”
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Joint Spectra of Generators in Topological Algebras by Antoni Wawrzyńczyk

“…If 𝒜 is a Q-algebra, the set σ𝒰(S) is rationally convex.…”
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JPD-Coloring of the Monohedral Tiling for the Plane by S. A. El-Shehawy, M. Basher

“…We investigate the JPD-coloring of the r-monohedral tiling for the plane by mutually congruent regular convex polygons which are equilateral triangles at r = 3 or squares at r = 4 or regular hexagons at r = 6. …”
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Arte, técnica y arquitectura globalizada by Francisco J. Hernández-Ayón

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Nematic Liquid Crystal Locking Menisci by Milan Svetec, Mitja Slavinec

“…Curvilinear coordinate system is introduced in order to focus on the phenomena of both (convex and concave) types of menisci. Frank's description in terms of the nematic director field is used. …”
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Overlapping Phenotypes in Osteopetrosis and Pycnodysostosis in Asian-Indians by Parminder Kaur, Inusha Panigrahi, Harleen Kaur, Thakurvir Singh, Chakshu Chaudhry

“…Osteopetrosis is a disorder characterized by high bone density, hepatosplenomegaly, visual and hearing loss, and anemia. …”
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