Ordinary, super and hyper relators can be used to treat the various generalized open sets in a unified way

TM Rassias, Á Száz - Approximation and Computation in Science and …, 2022 - Springer
If R is a family of relations on X to Y, U is a family of relations on P (X) to Y, and V is a family
of relations on P (X) to P (Y), then we say that R is an ordinary relator, U is a super relator …

Minimal structures, generalized topologies, and ascending systems should not be studied without generalized uniformities

A Szaz - Filomat, 2007 - JSTOR
Minimal structures, generalized topologies, and ascending systems should not be studied
without generalized uniformities Page 1 Faculty of Sciences and Mathematics University of Niš …

[PDF][PDF] Galois and Pataki connections on generalized ordered sets

Á Száz - Earthline Journal of Mathematical Sciences, 2019 - earthlinepublishers.com
Proofs - EJMS-1905099 Page 1 Earthline Journal of Mathematical Sciences ISSN (Online):
2581-8147 Volume 2, Number 2, 2019, Pages 283-323 https://doi.org/10.34198/ejms.2219.283323 …

Corelations are more powerful tools than relations

Á Száz - Applications of Nonlinear Analysis, 2018 - Springer
A subset R of a product set is called a relation on X to Y. While, a function U of one power set
P (X) P (X) to another P (Y) P (Y) is called a corelation on X to Y. Moreover, families RR and …

[PDF][PDF] Upper and lower bounds in relator spaces

A Száz - Serdica Math. J, 2003 - math.bas.bg
Untitled Page 1 Page 2 Serdica Math. J. 29 (2003), 239-270 UPPER AND LOWER BOUNDS
IN RELATOR SPACES∗ Arpád Száz Communicated by SL Troyanski Abstract. An ordered …

[PDF][PDF] A unified treatment of well-chainedness and connectedness properties

G Pataki, Á Száz - Acta Math. Acad. Paedagog. Nyházi.(NS), 2003 - emis.de
A unified treatment of some old and new well-chainedness and connectedness properties of
the most basic topological structures (such as closures, proximities and uniformities, for …

[PDF][PDF] The closure-interior Galois connection and its applications to relational equations and inclusions

Á Száz - J. Int. Math. Virt. Inst, 2018 - library.math.unideb.hu
By using the closure–interior Galois connection and the box product of relations, we show
that the duals of some of our former theorems on the relational equation R= G− 1◦ S◦ F and …

[PDF][PDF] Somewhat continuity in a unified framework for continuities of relations

A Száz - Tatra Mt. Math. Publ, 2002 - researchgate.net
By using a unifying scheme for continuities of relations, we show that our paratopological
mild, upper and lower semicontinuities are natural generalizations of the feeble continuity of …

Basic tools, increasing functions, and closure operations in generalized ordered sets

Á Száz - Contributions in Mathematics and Engineering: In …, 2016 - Springer
Having in mind Galois connections, we establish several consequences of the following
definitions. An ordered pair X (≤)=(X,≤) consisting of a set X and a relation≤ on X is called …

[PDF][PDF] Generalizations of Galois and Pataki connections to relator spaces

Á Száz - J. Int. Math. Virtual Inst, 2014 - library.math.unideb.hu
Tech. Rep., Inst. Math., Univ. Debrecen 2014/1, 32 pp. GENERALIZATIONS OF GALOIS
AND PATAKI CONNECTIONS TO RELATOR SPACES 1. A f Page 1 Tech. Rep., Inst. Math …