Mizoguchi-Takahashi’s Fixed Point Theorem with α , η Functions

Muhammad Usman Ali; Tayyab Kamran; Wutiphol Sintunavarat; Phayap Katchang

doi:10.1155/2013/418798

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI09 > Article

2013 Mizoguchi-Takahashi’s Fixed Point Theorem with

\alpha

\eta

Functions

Muhammad Usman Ali, Tayyab Kamran, Wutiphol Sintunavarat, Phayap Katchang

Abstr. Appl. Anal. 2013(SI09): 1-4 (2013). DOI: 10.1155/2013/418798

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Abstract

We introduce the notion of generalized ${\alpha }_{\ast}$ -admissible mappings. By using this notion, we prove a fixed point theorem. Our result generalizes Mizoguchi-Takahashi’s fixed point theorem. We also provide some examples to show the generality of our work.

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Muhammad Usman Ali. Tayyab Kamran. Wutiphol Sintunavarat. Phayap Katchang. "Mizoguchi-Takahashi’s Fixed Point Theorem with $\alpha$ , $\eta$ Functions." Abstr. Appl. Anal. 2013 (SI09) 1 - 4, 2013. https://doi.org/10.1155/2013/418798