Open AccessArticle

Schauder-Tychonoff Fixed Point Theorem on Sequentially Complete Hausdorff Strongly Convex Topological Vector Spaces

K. A. Venkatesan¹

and

S. Sivaprakasam¹

1Vel Tech Rangarajan Dr. Sagunthala R&amp2d Institute of Science and Technology, Chennai, India.

* Corresponding Author: G. Saravanakumar. Email:

Annals of Communications in Mathematics 2023, 6 (4), 253-259. https://doi.org/10.62072/acm.2023.060406

Received: 20 October 2023 |

Accepted: 10 December 2023 |

Published: 31 December 2023

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Abstract

In this paper, we study the Schauder-Tychonoff fixed point (STFP) on a subset A of a sequentially complete Hausdorff strongly convex topological vector space (SCHSCTVS) E (over the field R) with calibration Γ have a unique STFP in Topological Vector Space (TVS).

Keywords

Non-self mapping; Schauder-Tychonoff fixed point; Topological vector space

Cite This Article

G. Saravanakumar, K. A. Venkatesan, S. Sivaprakasam.

Schauder-Tychonoff Fixed Point Theorem on Sequentially Complete Hausdorff Strongly Convex Topological Vector Spaces.

Annals of Communications in Mathematics

2023,

6 (4):

253-259.

https://doi.org/10.62072/acm.2023.060406

Copyright © 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).