Some remarks concerning applicable fixed point theorems for multi-valued operators
Applicable Nonlinear Analysis, Volume 2, Issue 1, April 2025, Pages: 1–9
ADRIAN PETRUȘEL
Department of Mathematics, Babeș-Bolyai University Cluj-Napoca, Kogălniceanu Street, No. 1, Cluj-Napoca, Romania
Academy of Romanian Scientists, 50044 Bucharest, Romania
GABRIELA PETRUȘEL
Department of Business, Babeș-Bolyai University Cluj-Napoca, Kogălniceanu Street, No. 1, Cluj-Napoca, Romania
JEN-CHIH YAO
Academy of Romanian Scientists, 50044 Bucharest, Romania
Center for General Education, China Medical University, Taichung, Taiwan
Abstract
In this work, we will present a synthesis of the most important applicable fixed point theorems for multi-valued operators in metric spaces. We will also discuss some stability properties of the fixed point inclusion. In particular, some new considerations on Kikkawa-Suzuki type operators will be given.
Cite this Article as
Adrian Petrușel, Gabriela Petrușel, and Jen-Chih Yao, Some remarks concerning applicable fixed point theorems for multi-valued operators, Applicable Nonlinear Analysis, 2(1), 1–9, 2025