Year: 2025
Type: article
Abstract: The present research paper aims to establish some generalized Banach fixed point theorems on closed Hilbert spaces using the sequence of mappings and satisfying the Banach Fixed point Property. The Banach fixed point theory plays an important role in modern areas of mathematics, mathematical Science, and different branches of Science. Koparde P. V; Waghmode B. B [5]; Pandhar, M. D and Waghmode, B. B [6] have established some Banach Fixed point theorems on a sequence of mappings on a closed subset S of a Hilbert space H. After that, Veerapandi, T and Kumar, S. A. [9] have introduced some fruitful results in this line. In this research article, some generalized Banach fixed point theorems of Veerapandi, T and Kumar, S. A. [9] are stated above. The mathematician established a theory on Hilbert spaces in sequences of mappings on closed spaces.
Authors: Nitin Kumar Singh, Ghosh S C
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4413067241