orthogonal completeness
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Orthogonal sets; orthogonal contractions

2019 ◽  
Vol 12 (03) ◽  
pp. 1950034
Author(s):  
Madjid Eshaghi Gordji ◽  
Hasti Habibi ◽  
Mohammad Bagher Sahabi
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Contraction Condition ◽  
Orthogonal Completeness

In this paper, we are interested in obtaining fixed point theorems by keeping the orthogonal completeness of the orthogonal metric space and replacing the [Formula: see text]-contraction condition in theorems by another slightly modified conditions. The paper contains an example illustrating our results.

Orthogonal completeness and minimal prime ideals

1986 ◽  
Vol 35 (6) ◽  
pp. 2876-2882
Author(s):  
K. I. Beidar ◽  
A. V. Mikhalev
Keyword(s):  
Prime Ideals ◽  
Orthogonal Completeness ◽  
Minimal Prime

Orthogonal completeness and algebraic systems

1985 ◽  
Vol 40 (6) ◽  
pp. 51-95 ◽  
Author(s):  
K I Beidar ◽  
A V Mikhalëv
Keyword(s):  
Algebraic Systems ◽  
Orthogonal Completeness
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