Results 41 to 50 of about 14,025 (281)
Some fixed point theorems for compatible maps
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
Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces
In this paper, we proved some coincidence point results for $f$-nondecreasing self-mapping satisfying certain rational type contractions in the context of a metric space endowed with a partial order.
K. Kalyani, N. Seshagiri Rao
doaj +1 more source
GENERAL FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPS
Summary: The purpose of this note is to use general expansive and conditions minimal type commutativity without continuity requirements to prove some fixed point theorems. The theorems extend known results from the class of compatible continuous expansive maps to a wider class of mappings.
openaire +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
On coincidence points of generalized contractive pair mappings in convex metric spaces [PDF]
We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point.
Moohammad Moosaei, Azizollah Azizi
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Remarks on a common Fixed Point Theorem in compact metric spaces [PDF]
A general common fixed point theorem for two pairs of weakly compatible self mappings proved in compact metric spaces employing a slightly modified implicit relation which generalizes almost all existing relevant common fixed point theorems. Some related
Javid Ali, Mohammad Imdad
core +1 more source
Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees
We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Neumann, Eike
core +1 more source
Common Fixed Point Theorems for Weakly Compatible Mappings
Let \((X,d)\) be a metric space, \(F\), \(G: X \multimap X\) be set-valued mappings and \(I\), \(J:X\to X\) two mappings. The author gives metric conditions which imply that there exists \(x \in X\) such that \(F(x)=G(x)=\{x\}\) and \(I(x)=J(x)=x\).
openaire +3 more sources
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
In this article, we aim to prove various unique fixed point results for contractive and weakly compatible mappings in the sense of neutrosophic metric spaces. Several nontrivial examples are also imparted.
Usman Ali +4 more
doaj +1 more source

