Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces

1989 ◽  
Vol 62 (1) ◽  
pp. 127-138 ◽  
Author(s):  
T. Tanaka
Keyword(s):  
Existence Theorems ◽  
Saddle Points ◽  
Infinite Dimensional ◽  
Vector Valued Functions ◽  
Vector Valued

scholarly journals Existence Theorems ofε-Cone Saddle Points for Vector-Valued Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Tao Chen
Keyword(s):  
Saddle Point ◽  
Existence Theorem ◽  
Equilibrium Problem ◽  
Existence Result ◽  
Existence Theorems ◽  
Saddle Points ◽  
Vector Equilibrium Problem ◽  
Saddle Point Theorem ◽  
Vector Equilibrium ◽  
Vector Valued

A new existence result ofε-vector equilibrium problem is first obtained. Then, by using the existence theorem ofε-vector equilibrium problem, a weaklyε-cone saddle point theorem is also obtained for vector-valued mappings.

Analysis of nonsmooth vector-valued functions associated with infinite-dimensional second-order cones

2011 ◽  
Vol 74 (16) ◽  
pp. 5766-5783 ◽  
Author(s):  
Ching-Yu Yang ◽  
Yu-Lin Chang ◽  
Jein-Shan Chen
Keyword(s):  
Second Order ◽  
Infinite Dimensional ◽  
Vector Valued Functions ◽  
Vector Valued

Existence theorems for saddle points of vector-valued maps

1996 ◽  
Vol 89 (3) ◽  
pp. 731-747 ◽  
Author(s):  
K. K. Tan ◽  
J. Yu ◽  
X. Z. Yuan
Keyword(s):  
Existence Theorems ◽  
Saddle Points ◽  
Vector Valued

scholarly journals Existence and Uniqueness of Zeros for Vector-Valued Functions with K-Adjustability Convexity and Their Applications

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 809
Author(s):  
Wei-Shih Du
Keyword(s):  
Fixed Point ◽  
Minimization Problem ◽  
Existence And Uniqueness ◽  
Existence Theorems ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Uniqueness Theorems ◽  
New Concepts ◽  
Vector Valued Functions ◽  
Vector Valued

In this paper, we introduce the new concepts of K-adjustability convexity and strictly K-adjustability convexity which respectively generalize and extend the concepts of K-convexity and strictly K-convexity. We establish some new existence and uniqueness theorems of zeros for vector-valued functions with K-adjustability convexity. As their applications, we obtain existence theorems for the minimization problem and fixed point problem which are original and quite different from the known results in the existing literature.

A convergence for infinite dimensional vector valued functions

2008 ◽  
Vol 42 (4) ◽  
pp. 577-586 ◽  
Author(s):  
Pirro Oppezzi ◽  
Anna Maria Rossi
Keyword(s):  
Dimensional Vector ◽  
Infinite Dimensional ◽  
Vector Valued Functions ◽  
Vector Valued
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