نتایج جستجو برای: accretive operators

تعداد نتایج: 98917  

2013
Yixin Wen Aifang Feng Yuguang Xu

In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if → : T X X is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximat...

Journal: :Proceedings of the American Mathematical Society 1988

Journal: :bulletin of the iranian mathematical society 0
k. sitthithakerngkiet nonlinear dynamic analysis research center‎, ‎department of mathematics‎, ‎faculty of applied science‎, ‎king mongkut's university of technology north bangkok (kmutnb)‎, ‎1518‎, ‎pracharat 1 road‎, ‎wongsawang‎, ‎bangsue‎, ‎bangkok‎, ‎10800‎, ‎thailand p. sunthrayuth kmutt-fixed point theory and applications research group (kmutt-fpta)‎, ‎theoretical and computational science center (tacs)‎, ‎science laboratory building‎, ‎faculty of science‎, ‎king mongkuts university of technology thonburi (kmutt)‎, ‎126 pracha uthit road‎, ‎bang mod‎, ‎thung khru‎, ‎bangkok‎, ‎10140‎, ‎thailand. p. kumam department of medical research‎, ‎china medical university hospital‎, ‎china medical university‎, ‎taichung 40402‎, ‎taiwan.

‎the purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex banach space which has a‎ ‎uniformly g^ateaux differentiable norm and admits the duality‎ ‎mapping $j_{varphi}$‎, ‎where $varphi$ is a gauge function ...

Journal: :Math. Comput. 2018
Robert Plato Peter Mathé Bernd Hofmann

There are various ways to regularize ill-posed operator equations in Hilbert space. If the underlying operator is accretive then Lavrentiev regularization (singular perturbation) is an immediate choice. The corresponding convergence rates for the regularization error depend on the given smoothness assumptions, and for general accretive operators these may be both with respect to the operator or...

Journal: :J. Applied Mathematics 2012
Prapairat Junlouchai Somyot Plubtieng

We study a new system of nonlinear set-valued variational inclusions involving a finite family of H ·, · -accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of H ·, · -accretive operators, we prove the existence of the solution for the system of nonlinear set-valued variational inclusions. Moreover, we introduce a new iterative scheme...

Journal: :Linear Algebra and its Applications 2009

Journal: :Bulletin of the American Mathematical Society 1973

2008
SHIN MIN KANG ZEQING LIU

Suppose that X is an arbitrary real Banach space and T : X → X is a Lipschitz continuous φ-strongly accretive operator or uniformly continuous φ-strongly accretive operator. We prove that under different conditions the three-step iteration methods with errors converge strongly to the solution of the equation Tx = f for a given f ∈ X.

Journal: :Pacific Journal of Mathematics 1986

‎The purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex Banach space which has a‎ ‎uniformly G^ateaux differentiable norm and admits the duality‎ ‎mapping $j_{varphi}$‎, ‎where $varphi$ is a gauge function ...

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