Applications of a comparison theorem for quasi-accretive operators in a hilbert space

1982 ◽  
pp. 422-434 ◽  
Author(s):  
Roger T. Lewis
Keyword(s):  
Hilbert Space ◽  
Comparison Theorem ◽  
Accretive Operators

scholarly journals Iterative methods for zero points of accretive operators in Banach spaces

2012 ◽  
Vol 20 (1) ◽  
pp. 329-344
Author(s):  
Sheng Hua Wang ◽  
Sun Young Cho ◽  
Xiao Long Qin
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Convex Function ◽  
Real Banach Space ◽  
Real Hilbert Space ◽  
Lower Semicontinuous ◽  
Iterative Algorithms ◽  
Accretive Operators ◽  
Weak And Strong Convergence ◽  
Zero Points

Abstract The purpose of this paper is to consider the problem of approximating zero points of accretive operators. We introduce and analysis Mann-type iterative algorithm with errors and Halpern-type iterative algorithms with errors. Weak and strong convergence theorems are established in a real Banach space. As applications, we consider the problem of approximating a minimizer of a proper lower semicontinuous convex function in a real Hilbert space

OPERATOR ACCRETIVE KUAT PADA RUANG HILBERT

2018 ◽  
Vol 1 (1) ◽  
pp. 60
Author(s):  
Razis Aji Saputro ◽  
Susilo Hariyanto ◽  
Y.D. Sumanto
Keyword(s):  
Hilbert Space ◽  
Linear Operator ◽  
Vector Space ◽  
Cauchy Sequence ◽  
Accretive Operator ◽  
Inner Product ◽  
Accretive Operators ◽  
The Real ◽  
Adjoint Operators

Pre-Hilbert space is a vector space equipped with an inner-product. Furthermore, if each Cauchy sequence in a pre-Hilbert space is convergent then it can be said complete and it called as Hilbert space. The accretive operator is a linear operator in a Hilbert space. Accretive operator is occurred if the real part of the corresponding inner product will be equal to zero or positive. Accretive operators are also associated with non-negative self-adjoint operators. Thus, an accretive operator is said to be strict if there is a positive number such that the real part of the inner product will be greater than or equal to that number times to the squared norm value of any vector in the corresponding Hilbert Space. In this paper, we prove that a strict accretive operator is an accretive operator.

Existence and uniqueness results for a fractional evolution equation in Hilbert space

2012 ◽  
Vol 15 (2) ◽  
Author(s):  
Emilia Bazhlekova
Keyword(s):  
Hilbert Space ◽  
Evolution Equation ◽  
Fractional Derivative ◽  
Existence And Uniqueness ◽  
Accretive Operators ◽  
Existence And Uniqueness Results ◽  
Fractional Evolution Equation ◽  
Uniqueness Results ◽  
Uniqueness Of The Solution ◽  
Liouville Fractional Derivative

AbstractThe existence and uniqueness of the solution of a fractional evolution equation with the Riemann-Liouville fractional derivative of order α ∈ (0, 1) is studied in Hilbert space, based on the theory of sums of accretive operators. The results are applied to some subdiffusion problems.

Hilbert Space

1993 ◽  
Author(s):  
J. R. Retherford
Keyword(s):  
Hilbert Space
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