Convexity and Generalized Convexity Methods for the Study of Hamilton-Jacobi Equations

2001 ◽  
pp. 294-316 ◽  
Author(s):  
Jean-Paul Penot ◽  
Michel Volle
Keyword(s):  
Generalized Convexity ◽  
Jacobi Equations

Interpolation Curves with Generalized Convexity-Preserving

2018 ◽  
Vol 30 (9) ◽  
pp. 1686
Author(s):  
Wei Jiang ◽  
Renjiang Zhang
Keyword(s):  
Generalized Convexity

Saddle point criteria in semi-infinite minimax fractional programming under (Φ,ρ)-invexity

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2557-2574 ◽  
Author(s):  
Tadeusz Antczak
Keyword(s):  
Saddle Point ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Equality Constraints ◽  
New Class ◽  
Minimax Fractional Programming

Semi-infinite minimax fractional programming problems with both inequality and equality constraints are considered. The sets of parametric saddle point conditions are established for a new class of nonconvex differentiable semi-infinite minimax fractional programming problems under(?,?)-invexity assumptions. With the reference to the said concept of generalized convexity, we extend some results of saddle point criteria for a larger class of nonconvex semi-infinite minimax fractional programming problems in comparison to those ones previously established in the literature.

scholarly journals Infinitesimal Isometries Along Curves and Generalized Jacobi Equations

2011 ◽  
Vol 23 (1) ◽  
pp. 377-394
Author(s):  
R. L. Foote ◽  
C. K. Han ◽  
J. W. Oh
Keyword(s):  
Jacobi Equations

scholarly journals Non-local Discrete $$\infty $$ ∞ -Poisson and Hamilton Jacobi Equations

2015 ◽  
Vol 55 (2) ◽  
pp. 229-241 ◽  
Author(s):  
Matthieu Toutain ◽  
Abderrahim Elmoataz ◽  
François Lozes ◽  
Alamin Mansouri
Keyword(s):  
Non Local ◽  
Jacobi Equations

scholarly journals Hamilton-Jacobi equations in infinite dimensions. II. Existence of viscosity solutions

1986 ◽  
Vol 65 (3) ◽  
pp. 368-405 ◽  
Author(s):  
Michael G Crandall ◽  
Pierre-Louis Lions
Keyword(s):  
Viscosity Solutions ◽  
Infinite Dimensions ◽  
Jacobi Equations

Symmetry and separation of variables in Hamilton-Jacobi equations. II

1978 ◽  
Vol 21 (9) ◽  
pp. 1130-1132 ◽  
Author(s):  
V. N. Shapovalov
Keyword(s):  
Separation Of Variables ◽  
Jacobi Equations
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