scholarly journals A monotone complementarity problem in Hilbert space

1990 ◽  
Author(s):  
Jen-Chih Yao
Keyword(s):  
Hilbert Space ◽  
Complementarity Problem ◽  
Monotone Complementarity Problem

scholarly journals Fixed point theory and complementarity problems in Hilbert space

1987 ◽  
Vol 36 (2) ◽  
pp. 295-310 ◽  
Author(s):  
G. Isac
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Complementarity Problem ◽  
Complementarity Problems ◽  
Fixed Point Theory ◽  
Point Theory

In this paper we study both the implicit and the explicit complementarity problem using some special and interesting connections between the complementarity problem and fixed point theory in Hilbert space.

scholarly journals A fixed point method to solve the nonlinear complementarity problem for a class of monotone operators

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4587-4590
Author(s):  
Dinu Teodorescu ◽  
Mohammad Khan
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Complementarity Problem ◽  
Real Hilbert Space ◽  
Nonlinear Complementarity Problem ◽  
Monotone Operators ◽  
Fixed Point Method ◽  
Banach Fixed Point Theorem ◽  
Nonlinear Complementarity

In this paper, using the classic Banach fixed point theorem, we study the nonlinear complementarity problem for a class of monotone operators in real Hilbert space.

scholarly journals A nonlinear complementarity problem in mathematical programming in Hilbert space

1979 ◽  
Vol 20 (2) ◽  
pp. 233-236 ◽  
Author(s):  
Sribatsa Nanda ◽  
Sudarsan Nanda
Keyword(s):  
Hilbert Space ◽  
Complementarity Problem ◽  
Existence And Uniqueness ◽  
Nonlinear Complementarity Problem ◽  
Closed Convex Cone ◽  
Existence And Uniqueness Theorem ◽  
Polar Cone ◽  
Nonlinear Complementarity ◽  
Banach Contraction ◽  
The Banach Contraction Principle

In this paper we prove the following existence and uniqueness theorem for the nonlinear complementarity problem by using the Banach contraction principle. If T: K → H is strongly monotone and lipschitzian with k2 < 2c < k2+1, then there is a unique y ∈ K, such that Ty ∈ K* and (Ty, y) = 0 where H is a Hilbert space, K is a closed convex cone in H, and K* the polar cone.

Sign in / Sign up

Export Citation Format

Share Document