Abdul Latif, Talat Nazir, Mujahid Abbas, Stability of fixed points in generalized metric spaces

Full Text: PDF
DOI: 10.23952/jnva.2.2018.3.04
Volume 2, Issue 3, 1 December 2018, Pages 287-294

Abstract. Let (X,G) be a generalized metric space. Let $\{G_n\}_{n\in \mathbb{N}}$ be a sequence of G-metrics on X and let $T_{n}: X_{n}\rightarrow X_{n}$ , where $\{X_n\}$ is a sequence of nonempty subsets of X, be a $(\psi,\varphi )$ -weakly contractive mapping with a fixed point $x_n$ . In this paper, we study the the convergence of $\{T_n\}$ and the convergence of $\{x_n\}$ . Various stability results are established.

How to Cite this Article:
Abdul Latif, Talat Nazir, Mujahid Abbas, Stability of fixed points in generalized metric spaces, J. Nonlinear Var. Anal. 2 (2018), 287-294.