@Article{ATA-29-208, author = {}, 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 = {

In this work, using an analogue of Sadovskii'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].

}, 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} }