Some Extremum Problems for Spaces of Weakly Continuous Functions

2020 ◽  
pp. 61-66
Author(s):  
Michael Cambern
Keyword(s):  
Continuous Functions ◽  
Extremum Problems ◽  
Weakly Continuous

scholarly journals A note on weakly θ-continuous functions

1989 ◽  
Vol 12 (1) ◽  
pp. 9-13 ◽  
Author(s):  
M. Mrševic ◽  
I. L. Reilly
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
New Class ◽  
Weakly Continuous ◽  
Class Of Functions

Recently a new class of functions between topological spaces, called weaklyθ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weaklyθ-continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.

ON ALMOST WEAKLY CONTINUOUS FUNCTIONS

1998 ◽  
Vol 31 (2) ◽  
Author(s):  
Saeid Jafari ◽  
Takashi Noiri
Keyword(s):  
Continuous Functions ◽  
Weakly Continuous

On Completion of Spaces of Weakly continuous Functions

1983 ◽  
Vol 15 (3) ◽  
pp. 260-264 ◽  
Author(s):  
J. Ferrera ◽  
J. Gomez Gil ◽  
J. G. Llavona
Keyword(s):  
Continuous Functions ◽  
Weakly Continuous

scholarly journals The Homomorphism Theorems of M-Hazy Rings and Their Induced Fuzzifying Convexities

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 411
Author(s):  
Faisal Mehmood ◽  
Fu-Gui Shi ◽  
Khizar Hayat ◽  
Xiao-Peng Yang
Keyword(s):  
Group Theory ◽  
Continuous Functions ◽  
Vital Role ◽  
Ring Theory ◽  
Mathematical Tool ◽  
Algebraic Structures ◽  
Ring Homomorphisms ◽  
Extremum Problems ◽  
Convexity Theory ◽  
Fundamental Theorems

In traditional ring theory, homomorphisms play a vital role in studying the relation between two algebraic structures. Homomorphism is essential for group theory and ring theory, just as continuous functions are important for topology and rigid movements in geometry. In this article, we propose fundamental theorems of homomorphisms of M-hazy rings. We also discuss the relation between M-hazy rings and M-hazy ideals. Some important results of M-hazy ring homomorphisms are studied. In recent years, convexity theory has become a helpful mathematical tool for studying extremum problems. Finally, M-fuzzifying convex spaces are induced by M-hazy rings.

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