Locally Quasiconvex Spaces and Fixed Point Theorems

Author(s):

Mangatiana A. Robdera

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

We introduced the notions of locally quasiconvex spaces and quasi-seminorms, and investigate the natural relationships between these two notions. As applications, we obtain generalizations of some well known fixed point theorems and fixed set theorems that require neither metrizability, nor compactness nor the standard notion of con- vexity.

Keywords:

Fixed point , quasinorm , seminorm , Topo-logical vector space

Language:
English
Published:
Journal of Mathematical Extension, Volume:16 Issue: 4, Apr 2022
Page:
7
https://www.magiran.com/p2372604