scholarly journals Generalized vector version of Minty's lemma and applications

2003 ◽  
Vol 45 (4-5) ◽  
pp. 647-653 ◽  
Author(s):  
Byung-Soo Lee ◽  
Shih-Sen Chang ◽  
Jong Soo Jung ◽  
Suk-Jin Lee
Keyword(s):  
Minty’S Lemma ◽  
Vector Version

scholarly journals A vector version of Minty's Lemma and application

1999 ◽  
Vol 12 (5) ◽  
pp. 43-50 ◽  
Author(s):  
B.-S. Lee ◽  
G.-M. Lee
Keyword(s):  
Minty’S Lemma ◽  
Vector Version

scholarly journals The Use Of Geoinformation In Land Acquisition For Road Developments

2014 ◽  
Vol 22 (1) ◽  
pp. 29-35 ◽  
Author(s):  
Jan Kazak ◽  
Szymon Szewrański
Keyword(s):  
Good Practice ◽  
National Level ◽  
Land Acquisition ◽  
Raster Data ◽  
Administration System ◽  
Land Administration ◽  
Vector Version ◽  
Financial Consequences ◽  
Public Consultations

Abstract The development of new areas is associated with costs that partly burden public budgets. One example of such costs is the necessity of purchasing land for the construction of public roads. Geoinformation can be used to forecast such costs. In the era of transformation, the land administration system and transition from traditional (raster) data to an electronic (vector) version opens new possibilities for the use of geoinformation. Modern systems must satisfy certain requirements set out by the recipient as well as by legislation, on both the European and national level. They must also be powered by expertise gained in accordance with good practice. In this case, a property appraiser is the source of such information.. The study presents the possibility of using the CommunityViz system for forecasting the financial consequences of adopting the local plan for the area Jagodno II in Wroclaw. The paper also presents the possibility of using the results of the calculations during public consultations.

Existence of solutions for some nonlinear elliptic problems involving Minty’s lemma

2018 ◽  
Vol 68 (2) ◽  
pp. 513-534
Author(s):  
Mohammed Al-Hawmi ◽  
Abdelmoujib Benkirane ◽  
Hassane Hjiaj ◽  
Abdelfattah Touzani
Keyword(s):  
Existence Of Solutions ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic ◽  
Minty’S Lemma

scholarly journals Positive Solutions for Discontinuous Systems via a Multivalued Vector Version of Krasnosel’skiĭ’s Fixed Point Theorem in Cones

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 451
Author(s):  
Rodrigo López Pouso ◽  
Radu Precup ◽  
Jorge Rodríguez-López
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Integral Operator ◽  
Positive Solutions ◽  
Point Theorem ◽  
Discontinuous Systems ◽  
Second Order Differential Equations ◽  
Existence Of Positive Solutions ◽  
Vector Version ◽  
Krasnosel’Skii’S Fixed Point Theorem

We establish the existence of positive solutions for systems of second–order differential equations with discontinuous nonlinear terms. To this aim, we give a multivalued vector version of Krasnosel’skiĭ’s fixed point theorem in cones which we apply to a regularization of the discontinuous integral operator associated to the differential system. We include several examples to illustrate our theory.

scholarly journals GENERALIZED VECTOR MINTY'S LEMMA

2012 ◽  
Vol 19 (3) ◽  
pp. 281-288
Author(s):  
Byung-Soo Lee
Keyword(s):  
Minty’S Lemma

scholarly journals Systems of implicit fractional fuzzy differential equations with nonlocal conditions

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3795-3822 ◽  
Author(s):  
Nguyen Son ◽  
Nguyen Dong
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Nonlocal Problem ◽  
Nonlocal Conditions ◽  
Generalized Metric Space ◽  
Generalized Metric ◽  
Vector Version ◽  
Fuzzy Solutions

In this paper, two types of fixed point theorems are employed to study the solvability of nonlocal problem for implicit fuzzy fractional differential systems under Caputo gH-fractional differentiability in the framework of generalized metric spaces. First of all, we extend Krasnoselskii?s fixed point theorem to the vector version in the generalized metric space of fuzzy numbers. Under the Lipschitz conditions, we use Perov?s fixed point theorem to prove the global existence of the unique mild fuzzy solution in both types (i) and (ii). When the nonlinearity terms are not Lipschitz, we combine Perov?s fixed point theorem with vector version of Krasnoselskii?s fixed point theorem to prove the existence of mild fuzzy solutions. Based on the advantage of vector-valued metrics and convergent matrix, we attain some properties of mild fuzzy solutions such as the boundedness, the attractivity and the Ulam - Hyers stability. Finally, a computational example is presented to demonstrate the effectivity of our main results.

Differential geometry

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Differential Geometry ◽  
Vector Fields ◽  
Differential Forms ◽  
Curvilinear Coordinates ◽  
Moving Frames ◽  
Tensor Fields ◽  
Metric Tensor ◽  
Vector Calculus ◽  
Vector Version ◽  
Definition Of

This chapter presents some elements of differential geometry, the ‘vector’ version of Euclidean geometry in curvilinear coordinates. In doing so, it provides an intrinsic definition of the covariant derivative and establishes a relation between the moving frames attached to a trajectory introduced in Chapter 2 and the moving frames of Cartan associated with curvilinear coordinates. It illustrates a differential framework based on formulas drawn from Chapter 2, before discussing cotangent spaces and differential forms. The chapter then turns to the metric tensor, triads, and frame fields as well as vector fields, form fields, and tensor fields. Finally, it performs some vector calculus.

Design and Cloning of an shRNA into a Lentiviral Silencing Vector: Version B

2008 ◽  
Vol 2008 (9) ◽  
pp. pdb.prot5010-pdb.prot5010 ◽  
Author(s):  
G. Tiscornia ◽  
O. Singer ◽  
I. M. Verma
Keyword(s):  
Vector Version
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