Hyper innerproduct spaces II
Ali Taghavi, Roja Hosseinzadeh
TL;DR
This paper extends the concept of hyperinner product spaces to include hypervector spaces with hyperoperations for addition and scalar multiplication, broadening the theoretical framework of hyperinner products.
Contribution
It introduces a new definition of hyperinner product spaces applicable to weak hypervector spaces with hyperoperations for sum and scalar product, expanding prior models.
Findings
Extended hyperinner product definition to new hypervector spaces
Established properties of hyperinner products in these spaces
Provides a foundation for further research in hypervector space theory
Abstract
In this paper, we extend the definition of hyperinner product defined on weak hypervector spaces with a hyperoperation scalar product to weak hypervector spaces with the hyperoperations sum and scalar products.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Fixed Point Theorems Analysis