@article{Wang2024, 
author = {Peng Wang and Fei He and Xuan Liu},
title = {Answers to questions on Kannan's fixed point theorem in strong    b-metric spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {3671-3684},
keywords = {fixed point, strong b-metric space, Geraghty functions, Kannan mapping, Riech's fixed point theorem, multi-valued mapping},
url = {https://www.sciopen.com/article/10.3934/math.2024180},
doi = {10.3934/math.2024180},
abstract = {Our purpose of this paper is to answer several open questions posed by Doan (AIMS Math., 6 (2021), 7895–7908). First, we present two fixed point theorems, which are positive answers to Doan's questions. Second, we establish a new type of Riech's fixed point theorem to improve a result of Doan. Finally, we offer a straightforward example illustrating that a set-valued mapping satisfying the conditions of our fixed point theorem may has more than one fixed point.}
}