R ‐weak commutativity, examples, and applications

2020 ◽  
Vol 37 (1) ◽  
pp. 925-941
Author(s):  
Servet Kutukcu
Keyword(s):  
Weak Commutativity

Generalized Commutativity of Lattice-Ordered Groups

2015 ◽  
Vol 65 (2) ◽  
Author(s):  
M. R. Darnel ◽  
W. C. Holland ◽  
H. Pajoohesh
Keyword(s):  
Theorem Proving ◽  
Natural Generalization ◽  
Ordered Groups ◽  
Lattice Ordered Groups ◽  
Weak Commutativity

AbstractIn this paper we explore generalizations of Neumann’s theorem proving that weak commutativity in ordered groups actually implies the group is abelian. We show that a natural generalization of Neumann’s weak commutativity holds for certain Scrimger ℓ-groups.

scholarly journals Weak commutativity between two isomorphic polycyclic groups

2016 ◽  
Vol 19 (2) ◽  
Author(s):  
Bruno César R. Lima ◽  
Ricardo N. Oliveira
Keyword(s):  
Polycyclic Groups ◽  
Weak Commutativity

AbstractAn operator of weak commutativity between isomorphic groups,

Weak Commutativity in Idempotent Semirings

2006 ◽  
Vol 72 (2) ◽  
pp. 283-311 ◽  
Author(s):  
F. Pastijn
Keyword(s):  
Idempotent Semirings ◽  
Weak Commutativity

scholarly journals Some fixed point theorems in fuzzy metric space

2009 ◽  
Vol 40 (1) ◽  
pp. 59-66 ◽  
Author(s):  
Vyomesh Pant
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Noncompatible Maps ◽  
Weak Commutativity

The aim of the present paper is to extend the study of noncompatible maps in fuzzy metric space by using the notion of R-weak commutativity of type (Ag) in fuzzy metric space. Simultaneously, we provide an answer in fuzzy metric space, perhaps maiden, to the problem of Rhoades (page 243, [18]). We also define an analogue to the recently introduced concept of Property (E.A) by Aamri and Moutawakil [1] and then compare the results obtained by using the Property (E.A) to those obtained by using the notion of noncompatibility.

scholarly journals Common fixed points under Lipschitz type condition

1970 ◽  
Vol 7 (1) ◽  
pp. 74-78
Author(s):  
Vyomesh Pant
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Key Words And Phrases ◽  
Type Condition ◽  
Type Mapping ◽  
Common Fixed Point Theorems ◽  
Weak Commutativity

The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved. Mathematics Subject Classification: 54 H 25. Key Words and Phrases: Lipschitz type mapping pairs, nonexpansive conditions, noncompatible mappings, Pointwise R-weak commutativity, contractive conditions. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5424 KUSET 2011; 7(1): 74-78

scholarly journals On weak commutativity between finite p-groups, p: odd

1982 ◽  
Vol 76 (2) ◽  
pp. 471-488 ◽  
Author(s):  
NoraíRomeu Rocco
Keyword(s):  
Weak Commutativity

scholarly journals On common fixed points of weakly commuting mappings and set-valued mappings

1986 ◽  
Vol 9 (2) ◽  
pp. 323-329 ◽  
Author(s):  
S. Sessa ◽  
B. Fisher
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Weakly Commuting Mappings ◽  
The Common ◽  
Set Valued Mappings ◽  
Commuting Mappings ◽  
Weak Commutativity

Our main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. This improves a theorem of the second author.

scholarly journals Weak commutativity and finiteness properties of groups

2018 ◽  
Vol 51 (1) ◽  
pp. 168-180 ◽  
Author(s):  
Martin R. Bridson ◽  
Dessislava H. Kochloukova
Keyword(s):  
Finiteness Properties ◽  
Weak Commutativity
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