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- Title
SOME EXISTENCE THEOREMS FOR GENERALIZED A-PROPER MAPPINGS.
- Authors
LETITIA, ION; IONELA, TICU
- Abstract
The topological degree of a mapping is well known to be a powerful tool in establishing existence theorems for nonlinear equations be they integral or partial differential ones. Related to the approximation-solvability of operator equations, F.E. Browder and W.V. Petryshyn [1] have introduced a topological degree for A-proper mappings. Although, it may not be singleton, it appear as a natural extension of Brouwer's finite-dimensional degree. We shall introduce the class of quasi A-proper mappings, for which a similar generalized degree is defined, to investigate existence results for new types of nonlinear operator equations. Considering maximal monotone mappings, of type (M) and of type (S), we give conditions for a sum mappings to be A-proper or quasi-A-proper.
- Subjects
TOPOLOGICAL degree; MATHEMATICAL mappings; GENERALIZED integrals; NONLINEAR operator equations; PARTIAL differential equations; MONOTONE operators
- Publication
Annals (Constanţa Maritime University), 2015, Vol 16, Issue 23, p139
- ISSN
2067-0427
- Publication type
Article