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The Journal of Analysis

, Volume 26, Issue 1, pp 49–59 | Cite as

Fixed point theorems for generalized multivalued contraction

  • N. ChandraEmail author
  • Mahesh C. Joshi
  • Narendra K. Singh
Original Research Paper
First Online:

Abstract

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.

Keywords

Multi-valued mapping Fixed points and generalized contraction 

Mathematics Subject Classification

47H10 54H25 
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Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This chapter does not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.

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Copyright information

© Forum D'Analystes, Chennai 2017

Authors and Affiliations

  1. 1.Department of Mathematics, D. S. B. CampusKumaun UniversityNainitalIndia

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