Application of Browder’s and Göhde’s Fixed Point Theorem to Solutions of Operator Equations in Banach Spaces

Neeta Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P519

Application of Browder’s and Göhde’s Fixed Point Theorem to Solutions of Operator Equations in Banach Spaces

Neeta Singh

Citation :

Neeta Singh, "Application of Browder’s and Göhde’s Fixed Point Theorem to Solutions of Operator Equations in Banach Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 195-197, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P519

Abstract

the Browder's and Göhde's fixed point theorem for the existence of solutions of operator equations involving asymptotically nonexpansive mappings in uniformly convex Banach spaces.

Keywords

Browder's and Göhde's fixed point theorem, Uniformly convex Banachspaces, Nonexpansive mapping, Asymptotically nonexpansive mapping.

References

[1] R. P. Agarwal, D. O'Regan and D. R. Sahu, “Fixed point theory for Lipschitzian-type mappings with applications, Topological fixed point theory and its Applications,” Springer, 6, (2009).
[2] K. Goebel and W. A. Kirk, Topics in metric fixed point theory, Cambridge Studies in Advanced Mathematics 28, Cambridge University Press, 1990.
[3] M. A. Khamsi and W. A. Kirk, An introduction to metric spaces and fixed point theory, Pure and Applied Mathematics, John Wiley & Sons Inc., 2001.