On some fixed point theorems in abstract duality pairs

Authors

  • Kinga Cichoń Institute of Mathematics, Faculty of Control, Robotics and Electrical Engineering, PoznanUniversity of Technology, Piotrowo 3A, 60-965 Poznań, Poland
  • Mieczysław Cichoń Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87,61-614 Poznań, Poland
  • Mohamed M. A. Metwali Department of Mathematics, Faculty of Sciences, Damanhour University, Egypt

DOI:

https://doi.org/10.33044/revuma.v61n2a04

Abstract

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.

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Published

2020-10-31

Issue

Vol. 61 No. 2 (2020)

Section

Article

License

Copyright (c) 2024 Mieczysław Cichoń, Kinga Cichoń, Mohamed M. A. Metwali

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