A Note on the Immovable Point Theorem for Nonlinear Mappings

Manas Sheth

doi:10.53469/jrve.2024.6(11).07

A Note on the Immovable Point Theorem for Nonlinear Mappings

Authors

Manas Sheth Department of Mathematics, Dadasaheb Suresh G. Patil College, Chopda, Maharashtra, India

DOI:

https://doi.org/10.53469/jrve.2024.6(11).07

Keywords:

Fix point theory, convex metric spaces, uniformly normal structure, Banach space

Abstract

In this paper we discussed the generalization of the findings on fixed-point theorem in a complete convex metric space with uniformly normal structure of Mukherjee and Som as well as Gillespie and Williams.

References

A.A. Gulespie and B. B. Williams, "Some theorem on fixed point in Lipschitz and Kannan type of mappings", J. Math. Anal. Appl, 74 (1980), 382-387.

J. S. Bae, "Reflexivity of a banach space with a uniformly normal structure, proceedings of the american mathematical society", Volume 90, Number 2. February 1984

R.N. Mukheree and T. Som, "A note on fixed point theorems for some nonlinear mappings", Math. Chronicle, 13 (1984), 59-62.

W. Taknusin, "A convexity in metric space and non- expansive mappings", Kodai Math, Sem, Rep. 22 (1970), 142-149.

Downloads

Published

2024-11-29

How to Cite

Sheth, M. (2024). A Note on the Immovable Point Theorem for Nonlinear Mappings. Journal of Research in Vocational Education, 6(11), 31–32. https://doi.org/10.53469/jrve.2024.6(11).07