Results 41 to 50 of about 2,643,984 (289)
Fractal and FractionalThis study has developed a unified framework for modeling economic growth through Caputo fractional differential equations. The framework has established the existence and uniqueness of solutions by employing a generalized fixed-point approach.
Min Wang, Muhammad Din, Mi Zhou
doaj +1 more source
AxiomsThe objective of this paper is to propose some fixed-point findings under a relational contraction of Pant type employing a pair of auxiliary functions and through a generalized class of transitive binary relations.
Doaa Filali +5 more
doaj +1 more source
Fixed Point Theorems for Nonexpansive Mappings under Binary Relations
Mathematics, 2021 In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl.
Aftab Alam +3 more
doaj +1 more source
Binary topological relations on the digital sphere
International Journal of Approximate Reasoning, 2020 Topological relations are the predominant backbone of qualitative spatial reasoning, focusing to date mostly on objects that are embedded in R 2 . With the advent of ball-shaped screen technologies and the growing importance of globally situated data ...
Matthew P. Dube, M. Egenhofer
semanticscholar +1 more source
Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions
Applied General Topology, 2018 In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation.
Md Ahmadullah +2 more
doaj +1 more source
Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
Topological Structures on Vertex Set of Digraphs
مجلة بغداد للعلوم, 2023 Relation on a set is a simple mathematical model to which many real-life data can be connected. A binary relation on a set can always be represented by a digraph. Topology on a set can be generated by binary relations on the set .
K. Lalithambigai, P. Gnanachandra
doaj +1 more source
On the Structure of Acyclic Binary Relations
, 2018 We investigate the structure of acyclic binary relations from different points of view. On the one hand, given a nonempty set we study real-valued bivariate maps that satisfy suitable functional equations, in a way that their associated binary relation is acyclic. On the other hand, we consider acyclic directed graphs as well as their representation by
José Carlos R. Alcantud +4 more
openaire +3 more sources
Advanced Engineering Materials, EarlyView.A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm +3 more
wiley +1 more source
Operations on binary relations
Discrete Mathematics, 1978 AbstractThe effects of five basic operations (asymmetrization, complementation, dualization, symmetrization, transitive closure) on binary relations are examined. Identifies between compound operations are developed (e.g. the symmetric part of the transitive closure of the complement of the transitive closure equals the transitive closure of the ...
openaire +2 more sources