Results 11 to 20 of about 1,311,479 (362)
Groups of Binary Operations and Binary $G$-Spaces [PDF]
Topology and its Applications, 201(2016), 18-28, 2023 The group of continuous binary operations on a topological space is studied; its relationship with the group of homeomorphisms is established. The category of binary $G$-spaces and bi-equivariant maps is constructed, which is a natural extension of the category of $G$-spaces and equivariant maps.
arxiv +1 more source
Binary and ternary relations [PDF]
Mathematica Bohemica, 1992 Two operators are constructed which make it possible to transform ternary relations into binary relations defined on binary relations and vice versa. A possible graphical representation of ternary relations is described.
Vítězslav Novák, Miroslav Novotný
openaire +2 more sources
Perov-fixed point theorems on a metric space equipped with ordered theoretic relation
AIMS Mathematics, 2022 In this paper, we introduce a few new generalizations of the classical Perov-fixed point theorem for single-valued and multi-valued mappings in a complete generalized metric space endowed with a binary relation.
Yahya Almalki +4 more
doaj +1 more source
Weak Pseudo-Rationalizability [PDF]
, 2020 This paper generalizes rationalizability of a choice function by a single acyclic binary relation to rationalizability by a set of such relations. Rather than selecting those options in a menu that are maximal with respect to a single
Stewart, Rush T.
core +1 more source
Axioms, 2022 In this paper, we introduce the notion of fuzzy R−ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy metric spaces. Several illustrative
Samera M. Saleh +3 more
doaj +1 more source
Scott-topology based on transitive binary relation [PDF]
Journal of Mahani Mathematical Research, 2022 In the study of partially ordered sets, topologies such as Scott-topology have shown to be of paramount importance. In order to have analogous topology-like tools in the more general setting of quantitative domains, we introduce a method to construct ...
Osama Sayed, Nabil Hassan Sayed
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The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps
Mathematics, 2023 The purpose of this study is to present fixed-point results for Suzuki-type multi-valued maps using relation theory. We examine a range of implications that arise from our primary discovery.
Isaac Karabo Letlhage +3 more
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Axioms, 2021 In this article, we discuss the relation theoretic aspect of rational type contractive mapping to obtain fixed point results in a complete metric space under arbitrary binary relation.
Asik Hossain +2 more
doaj +1 more source
Fractal and Fractional, 2022 In this article, we introduce the idea of relation-theoretic Suzuki-generalized nonlinear contractions and utilized the same to prove some fixed point results in an ℜ-complete partial metric space.
Asik Hossain +3 more
doaj +1 more source
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Background and purpose For postoperative breast cancer patients, deformable image registration (DIR) is challenged due to the large deformations and non‐correspondence caused by tumor resection and clip insertion. To deal with it, three metrics (fiducial‐, region‐, and intensity‐based) were jointly used in DIR algorithm for improved accuracy ...
Xin Xie +6 more
wiley +1 more source