Some theorems on the sum of nonlinear mappings of monotone type in Banach spaces
β Scribed by Chaitan P Gupta
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 494 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## 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