Some Common Fixed Point Theorems on Complete Hilbert Space

Nitin Kumar Singh; S.C. Ghosh

doi:https://doi.org/10.14445/22315373/IJMTT-V71I6P106

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 6 | Year 2025 | Article Id. IJMTT-V71I6P106 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I6P106

Some Common Fixed Point Theorems on Complete Hilbert Space

Nitin Kumar Singh, S.C. Ghosh

Received	Revised	Accepted	Published
16 Apr 2025	30 May 2025	15 Jun 2025	29 Jun 2025

Citation :

Nitin Kumar Singh, S.C. Ghosh, "Some Common Fixed Point Theorems on Complete Hilbert Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 6, pp. 66-73, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I6P106

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.

Keywords

Cauchy sequence, Closed space, Hilbert space, Fixed Point.

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