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\noindent {\footnotesize The Extended Abstracts of \\

The 6$^{\rm th}$ Seminar on Functional Analysis and its Applications\\

4-5th March 2020, University of Isfahan, Iran}\\[1.00in]

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\title[ Approximate fixed points of $\alpha$-nonexpansive mappings]{ Approximate fixed points of $\alpha$-nonexpansive mappings}

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\author[Authors]{A. Author\Speaker, $^{1}$ Author2 $^2$ and Author3$^3$ }

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\authorsaddresses{$^{1}$ Department of Mathematics, University of Isfahan, Isfahan, 81745-163, Iran.\\a.sample@sci.ui.ac.ir\\

$^{2}$ \\

$^{3}$ }

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\keywords{Approximate fixed point sequence; $(\alpha,\beta)$-nonexpansive mapping; Normal structure.}

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\section{Introduction}

\label{intro} In the following we assume that $C$ is a nonempty subset of a Banach space $(X,\|.\|)$ and $T:C\to X$ is a mapping....

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\section{Main results}

We begin with the following definition....

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\begin{thebibliography}{5}

\bibitem{RefC}

W. Takahashi, \textit{Nonlinear Functional Analysis}, Yokohoma Publishers, Yokohoma, 2000.

\bibitem{RLFG}

D. Ariza-Ruiz, C. Hern\'{a}ndez Linares, E. Llorens-Fuster, E. Moreno-GÃ¡lvez, \textit{On $\alpha$-nonexpansive mappings in Banach spaces}, Carpathian J. Math. 32(1) (2016) 13-28.

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