A new generalization of Ćirić's multi-valued operators



	A new generalization of Ćirić's multi-valued operators


	Fixed Point Theory, Volume 25, No. 2, 2024, 705-722, June 15th, 2024 DOI: 10.24193/fpt-ro.2024.2.18 Authors: Ovidiu Popescu Abstract: The aim of this paper is to introduce a new type of multi-valued operators and to present some basic problems of the fixed points and strict fixed points for them. Obtained results generalize, complement and extend classical results given by Ćirić (Mat. Vesnik 9 (24): 265-272, (1972)) or Nadler (Pacific J. Math. 30: 475-488 (1969)), as well as recent results given by Alecsa and Petrușel (Anal. Univ. Vest Timisoara, LVII (1): 23-42 (2019)). Key Words and Phrases: Metric space, fixed point, Ćirić's multi-valued operator, data dependence, Ulam-Hyers stability, Ostrowski property, strict fixed point. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 15th, 2024. Fulltext pdf Back to volume's table of contents