On some fixed point theorems in abstract duality pairs

Kinga Cichon ^[3] ; Mieczyslaw Cichon ^[1] ; Mohamed M. A. Metwali ^[2]
1. [1] Adam Mickiewicz University in Poznań
  
  Adam Mickiewicz University in Poznań
  
  Poznań, Polonia
2. [2] Damanhour University
  
  Damanhour University
  
  Egipto
3. [3] Poznan University of Technology, Polonia
Mostrar afiliaciones +
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 2, 2020, págs. 249-266
Idioma: inglés
DOI: 10.33044/revuma.v61n2a04
Enlaces
- Texto completo
Resumen
- We study the existence of fixed points for some functional problems. We focus on bilinear operators which are extensions of the product of operators (Banaś–Dhage-type results) and obtain some results on abstract duality pairs (abstract triples). However, we do not restrict ourselves to these cases; in fact, some special cases which do no fit in the above description are indicated. In particular, our approach allows us to study some differential or integral problems, for which the operators are not acting on a fixed Banach space.