Skip to main content

Archived Comments for: On ( α ∗ , ψ ) -contractive multi-valued mappings

Back to article

  1. To Clarify statements of Main Results

    Tayyab Kamran, Quaid-i-Azam University

    3 September 2013

    To make the statement of the Theorem 2.4 more clear, please replace the last sentence of Theorem 2.4 by the following sentences.

    Then there exists an orbit $\{x_{n}\}$ of $G$ at $x_{0}$ and $x\in X$ such that $\lim_{n\to\infty}x_{n}=x$.
    Moreover, $x$ is a fixed point of $G$ if and only if $f(\xi)=d(\xi,G\xi)$ is lower semi-continuous at $x$.

    To make the statement of the Theorem 2.9 more clear, please replace the last sentence of Theorem 2.9 by the following sentences.

    Then there exists an orbit $\{x_{n}\}$ of $G$ at $x_{0}$ and $x\in X$ such that $\lim_{n\to\infty}x_{n}=x$.
    Moreover, $\{x\}=Gx$ if and only if $f(\xi)=\delta(\xi,G\xi)$ is lower semi-continuous at $x$.

    Competing interests

    None declared

Advertisement