Sets in the ranges of nonlinear accretive operators in Banach spaces

Athanassios Kartsatos

Displaying similar documents to “Sets in the ranges of nonlinear accretive operators in Banach spaces”

Zeros of accretive operators

Simeon Reich, Ricardo Torrejón (1980)

Commentationes Mathematicae Universitatis Carolinae

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Nonlinear functional analysis and nonlinear partial differential equations

Browder, E.

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Iterative approximation of solutions of nonlinear equations of Hammerstein type.

Chidume, C.E., Zegeye, H. (2003)

Abstract and Applied Analysis

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Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Shih-sen Chang, Yu-Qing Chen, Yeol Je Cho, Byung-Soo Lee (1998)

Commentationes Mathematicae Universitatis Carolinae

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Let $P$ be a cone in a Hilbert space $H$ , $A : P \to 2^{P}$ be an accretive mapping (equivalently, $- A$ be a dissipative mapping) and $T : P \to P$ be a nonexpansive mapping. In this paper, some fixed point theorems for mappings of the type $- A + T$ are established. As an application, we utilize the results presented in this paper to study the existence problem of solutions for some kind of nonlinear integral equations in $L^{2} (Ω)$ .

A geometric approach to accretivity

Leonid V. Kovalev (2007)

Studia Mathematica

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We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.