Results 11 to 20 of about 350 (121)

On some weak conditions of commutativity in common fixed point theorems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each
M. Imdad, M. S. Khan, S. Sessa
doaj   +2 more sources

A Pair of Derivations on Prime Rings with Antiautomorphism

open access: yesMathematics, 2023
This article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities.
Faez A. Alqarni   +4 more
doaj   +1 more source

Two Open Problems on CA-Groupoids and Cancellativities of T2CA-Groupoids

open access: yesAxioms, 2022
Cyclic associative groupoids (CA-groupoids) and Type-2 cyclic associative groupoids (T2CA-groupoids) are two types of non-associative groupoids which satisfy cyclic associative law and type-2 cyclic associative law, respectively.
Xiaogang An, Xiaohong Zhang, Zhirou Ma
doaj   +1 more source

A Characterization of Semiprime Rings with Homoderivations

open access: yesJournal of New Theory, 2023
This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
doaj   +1 more source

Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

open access: yesMathematics, 2020
In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a ...
Mathuraiveeran Jeyaraman   +2 more
doaj   +1 more source

A Unique Common Fixed Point for an Infinity of Set-Valued Maps

open access: yesAnnales Mathematicae Silesianae, 2018
The main purpose of this paper is to establish some common fixed point theorems for single and set-valued maps in complete metric spaces, under contractive conditions by using minimal type commutativity and without continuity.
Bouhadjera Hakima
doaj   +1 more source

Interval-Valued Pseudo Overlap Functions and Application

open access: yesAxioms, 2022
A class of interval-valued OWA operators can be constructed from interval-valued overlap functions with interval-valued weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as ...
Rong Liang, Xiaohong Zhang
doaj   +1 more source

Some fixed point theorems for compatible maps

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
A collection of fixed point theorems is generalized by replacing hypothesized commutativity or weak commutativity of functions involved by compatibility.
G. jungck, B. E. Rhoades
doaj   +1 more source

An iteration technique and commutativity of rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
Through much shorter proofs, some new commutativity theorems for rings with unity have been obtained. These results either extend or generalize a few well-known theorems. Our method of proof is based on an iteration technique.
H. A. S. Abujabal, M. S. Khan
doaj   +1 more source

On commutativity theorems for rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xny−ymxn,x]=0(m>1,n≥1), then R is commutative. Two or more related results are also obtained.
H. A. S. Abujabal, M. S. Khan
doaj   +1 more source

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