Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings
نویسندگان
چکیده
Abstract The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework p -vector spaces, in particular, locally -convex spaces $0 < \leq 1$ 0<p≤1 . More precisely, based on fixed point theorem continuous condensing as starting point, we first establish best approximation results (single-valued) mappings, which are then used new three classes consisting 1) condensing; 2) 1-set contractive; 3) semiclosed contractive spaces. Next they general principle alternative, Leray–Schauder points nonself with different boundary conditions from nonexpansive uniformly convex Banach or Opial condition. given by not only include corresponding ones existing literature special cases, but also expected be useful tools development theory functional applications study related problems arising practice $0< Finally, work presented focuses (instead set-valued) Essentially, it indeed continuation associated recently Yuan (Fixed Point Theory Algorithms Sci. Eng. 2022:20, 2022); therein, attention set-valued
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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/s13663-022-00735-6