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On eigenvalues and surjectivity using fixed points

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Title: On eigenvalues and surjectivity using fixed points

Authors: Anoop. S. K., K. T. Ravindran

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2009

Volume: 1

Issue: 1

Language: English

Categories
Eigenvalues (7) Operator Theory (23) Functional Analysis (104) Mathematics (5170) Fixed Point Theory (28)

Abstract

Here first we will prove the existence of fixed points for a weakly continuous, strictly quasi bounded operator on a reflexive Banach space and a completely continuous, strictly quasi bounded operator on any normed linear space. Using these results we can deduce the existence of eigen values and surjectivity of quasi bounded operator in similar situations.

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