Nonlinear analysis by applying best approximation method in p-vector spaces
نویسندگان
چکیده
Abstract It is known that the class of p -vector spaces $(0 < \leq 1)$ (0<p≤1) an important generalization usual norm with rich topological and geometrical structure, but most tools general principles nature in nonlinearity have not been developed yet. The goal this paper to develop some useful nonlinear analysis by applying best approximation approach for classes 1-set contractive set-valued mappings spaces. In particular, we first fixed point theorems compact (single-valued) continuous closed -convex subsets, which also provide answer Schauder’s conjecture 1930s affirmative way under setting vector $0 1$ xmlns:mml="http://www.w3.org/1998/Math/MathML">0<p≤1 . Then one result upper semicontinuous established, used as a tool establish points nonself either inward or outward set conditions related various boundary framework locally addition, based on study obtained values paper, conclude development singe-valued seems even more important, can be done established paper.
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ژورنال
عنوان ژورنال: Fixed Point Theory and Algorithms for Sciences and Engineering
سال: 2022
ISSN: ['2730-5422']
DOI: https://doi.org/10.1186/s13663-022-00730-x