Fixed point theorems for generalized multivalued contraction
- 78 Downloads
In this paper, a fixed point theorem for multi-valued mappings on a complete metric space is established taking a general contractive condition which generalizes several contractive conditions. Many generalizations of some well known results are also obtained as corollaries. Further, we give an application to the existence and uniqueness of solutions for certain classes of functional equations arising in dynamic programming.
KeywordsMulti-valued mapping Fixed points and generalized contraction
Mathematics Subject Classification47H10 54H25
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
This chapter does not contain any studies with human participants or animals performed by any of the authors.
Informed consent was obtained from all individual participants included in the study.