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- Title
On the Extended Version of Krasnoselśkiĭ's Theorem for Kannan-Type Equicontractive Mappings.
- Authors
Huang, Huaping; Pal, Subhadip; Bera, Ashis; Dey, Lakshmi Kanta
- Abstract
The purpose of the paper is to establish a sufficient condition for the existence of a solution to the equation T (u , C (u)) = u using Kannan-type equicontractive mappings, T : A × C (A) ¯ → Y , where C is a compact mapping, A is a bounded, closed and convex subset of a Banach space Y. To achieve this objective, the authors have presented Sadovskii's theorem, which utilizes the measure of noncompactness. The relevance of the obtained results has been illustrated through the consideration of various initial value problems.
- Subjects
INITIAL value problems; BANACH spaces; NONEXPANSIVE mappings
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 8, p1852
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11081852