Perturbations of nonlinear maximal monotone sets in banach space
β Scribed by H. Brezis; M. G. Crandall; A. Pazy
- Publisher
- John Wiley and Sons
- Year
- 1970
- Tongue
- English
- Weight
- 782 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
Let P be a cone in a Banach space E. In this paper, we show the existence of solutions of the operator equation y g yAx q Tx for y g P, where T is a 1-set-contraction operator in P and A is an accretive operator in P satisfying Ε½ . Ε½ . R I q A s P for all ) 0. Further, a sufficient condition for R I
## Abstract The concept of the operators of generalized monotone type is introduced and iterative approximation methods for a fixed point of such operators by the Ishikawa and Mann iteration schemes {xn} and {yn} with errors is studied. Let __X__ be a real Banach space and __T__ : __D__ β __X__ β 2
In this paper we give some conditions under which T q Ρ¨ f is maximal monotone Ε½ . in the Banach space X not necessarily reflexive , where T is a monotone operator from X into X \* and Ρ¨ f is the subdifferential of a proper lower semicontinuous Γ 4 convex function f, from X into β«ήβ¬ j qΟ± . We also gi