SOLVABILITY OF EQUATIONS INVOLVING PERTURBATIONS OF m-ACCRETIVE OPERATORS IN BANACH SPACES

Authors

  • Y. Takeuchi Address Takahashi Institute for Nonlinear Analysis, 1-11-11 Nakazato, Minami, Yokohama232-0063, Japan
  • M. Toyoda Address Department of Information Science, Toho University, Miyama, Funabashi, Chiba274-8510, Japan

Keywords:

Nonlinear operator, accretive operator, fixed point

Abstract

It is purpose of this paper to give several results for the solvability of the equation p ∈ Ax + Sx, where A is an m-accretive operator on a Banach space E and S is a mapping on a subset of E, with elementary proofs. We give proofs of them without using degree theory.

Additional Files

Published

06/01/2024

How to Cite

Takeuchi, Y., & Toyoda, M. (2024). SOLVABILITY OF EQUATIONS INVOLVING PERTURBATIONS OF m-ACCRETIVE OPERATORS IN BANACH SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 15(1), 33–42. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/1567

Issue

Vol. 15 No. 1 (2024): January-June 2024

Section

Research Articles

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Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.