Abstract
In this paper, suggested by several concepts of multi-valued Feng–Liu operators, we will consider a general abstract class of operators and we will give some stability properties for special subclasses of it. The general results presented here cover several existence and stability theorems in the recent literature. An application to thhe best proximity point theory is also given.
Acknowledgments
The first two authors are grateful to Professor Jen-Chih Yao and the Department of Mathematics for the kind hospitality and support during the research stage at NSYSU Kaohsiung, Taiwan. All authors have equal contributions to all phases of the work: investigation, conceptualization and writing. All authors have read and agreed to the published version of the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).