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Research Article Open access CC BY 3.0

The Fixed Points of Abstract Morphisms

Mirosław Ślosarski

Journal of Advances in Mathematics and Computer Science · pp. 3077–3089 · Published 25 Aug 2014

10.9734/BJMCS/2014/12891

Abstract

In this article, with the help of three axioms (Definition 3.1), the notion of abstract morphisms is introduced (see [1,2]). It will be proven that Hausdorff topological spaces together with abstract morphisms create a category on which the functor of ÄŒech homology is extended.

Abstract morphism equivalency relation strongly admissible map ÄŒech homology functor fixed point Vietoris map.

References (5)

  1. 1 Homological methods in fixed-point theory of multi-valued maps
  2. 2 The multi-valued domination of metric spaces [DOI]
  3. 3 Some Common Fixed Point Theorems in Complex-Valued Metric Spaces Using Implicit Relation
  4. 4 COMMON FIXED POINT THEOREMS OF WEAK RECIPROCAL CONTINUITY IN METRIC SPACES [DOI]
  5. 5 A FIXED POINT THEOREM SATISFYING GENERAL CONTRACTIVE CONDITION OF INTEGRAL TYPE USING TWO PAIR OF CONVERSE COMMUTING MAPPINGS IN METRIC SPACES

Cited by 9

The properties and applications of relative retracts

Mirosław Ślosarski · Journal of Fixed Point Theory and Applications · 2016

Multi-invertible maps and their applications

Mirosław Ślosarski · Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica · 2019

The multi-morphisms and their properties and applications

Mirosław Ślosarski · Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica · 2015

Coincidence theory for compact morphisms

Donal O’Regan · Fixed Point Theory and Applications · 2017

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