@Article{ATA-29-208,
author = {S. Xu and A. Amar},
title = {Fixed Point Theory for 1-Set Weakly Contractive Operators in Banach Spaces},
journal = {Analysis in Theory and Applications},
year = {2013},
volume = {29},
number = {3},
pages = {208--220},
abstract = {<p style="text-align: justify;">In this work, using an analogue of Sadovskii&#39;s fixed point result and several important inequalities we investigate and give new existence theorems for the nonlinear operator equation $F(x)=\mu x$, $(\mu \geq 1)$ for some weakly sequentially continuous, weakly condensing and weakly $1$-set weakly contractive operators with different boundary conditions. Correspondingly, we can obtain some applicable fixed point theorems of Leray-Schauder, Altman and Furi-Pera types in the weak topology setting which generalize and improve the corresponding results of [3,15,16].</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2013.v29.n3.2},
url = {http://global-sci.org/intro/article_detail/ata/5058.html}
}