Results 21 to 30 of about 7,179 (171)

Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces

Demonstratio Mathematica, 2023
In this article, we discuss equilibrium problems and their resolvents on complete geodesic spaces. In particular, we consider asymptotic behavior and continuity of resolvents with positive parameter in a complete geodesic space whose curvature is bounded
Kimura Yasunori, Shindo Keisuke
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Fan’s inequality in geodesic spaces

Applied Mathematics Letters, 2009
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Niculescu, Constantin P., Rovenţa, Ionel   +1 more
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Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space

Abstract and Applied Analysis, 2022
In this paper, we first introduce two new notions of uniform convexity on a geodesic space, and we prove their properties. Moreover, we reintroduce a concept of the set-convergence in complete geodesic spaces, and we prove a relation between the metric ...
Yasunori Kimura, Shuta Sudo
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Construction of Developable Surface with Geodesic or Line of Curvature Coordinates

Journal of New Theory, 2021
In this paper, a developable surface with geodesic or line of curvature coordinates is constructed in the Euclidean 3-space. A developable surface is coordinated by two families of parametric curves, base curves (directrices) and lines (rulings).
Nabil Althibany
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Momentum-space gravity from the quantum geometry and entropy of Bloch electrons

Physical Review Research, 2022
Quantum geometry is a key quantity that distinguishes electrons in a crystal from those in the vacuum. Its study continues to provide insights into quantum materials, uncovering new design principles for their discovery.
Tyler B. Smith, Lakshmi Pullasseri, Ajit Srivastava   +2 more
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Isotropic Lagrangian Submanifolds in Complex Space Forms [PDF]

Journal of Sciences, Islamic Republic of Iran, 2012
In this paper we study isotropic Lagrangian submanifolds , in complex space forms . It is shown that they are either totally geodesic or minimal in the complex projective space , if . When , they are either totally geodesic or minimal in .
M.B. Kashani
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From curves to currents

Forum of Mathematics, Sigma, 2021
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the development of
Dídac Martínez-Granado, Dylan P. Thurston   +1 more
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On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces

Journal of Function Spaces, 2015
Let AZ(R) be the infinitesimal asymptotic Teichmüller space of a Riemann surface R of infinite type. It is known that AZ(R) is the quotient Banach space of the infinitesimal Teichmüller space Z(R), where Z(R) is the dual space of integrable quadratic ...
Yan Wu, Yi Qi, Zunwei Fu
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Approximating Solutions of Optimization Problems via Fixed Point Techniques in Geodesic Spaces

Axioms, 2022
The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in our study is a nonexpansive mapping.
Rahul Shukla
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Proximinality in geodesic spaces [PDF]

Abstract and Applied Analysis, 2006
دعXتكون مساحة كاملة من الفئة(0) مع خاصية الامتداد الجيوديسي وانحناء ألكسندروف المحدد أدناه. يتضح أنه إذا كانتC مجموعة فرعية مغلقة منX،فإن مجموعة نقاط Xالتي لها نقطة فريدة فيCهيGδوفئة Baire الثانية فيX.بالإضافة إلى ذلك، إذا كانت C محدودة، فإن مجموعة نقاط Xالتي لها أبعد نقطة فريدة فيCتكون كثيفة فيX.كما يتم تضمين نتيجة تقارب للتعيينات ذات القيمة المحددة.
Anchalee Kaewcharoen, W. A. Kirk
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