Upper quasi theta tau star continuity and lower quasi theta tau star continuity are newly defined concepts.
The paper discusses several characterizations and distinctive properties relevant to quasi continuity.
The concepts aim to enrich the understanding of continuity in mathematical multifunctions.
Insights from this research have potential implications in various mathematical disciplines.
Abstract
This paper presents new concepts of continuous multifunctions, called upper quasi^ (₁, ₂) -continuous multifunctions and lower quasi ^ (₁, ₂) -continuous multifunctions. Moreover, several characterizationsand some properties concerning upper quasi ^ (₁, ₂) -continuousmultifunctions and lower quasi ^ (₁, ₂) -continuous multifunctions are considered.