Turkoglu, D.; Agarwal, R. P.; O’Regan, D.; Altun, I. Some fixed point theorems for single-valued and multi-valued countably condensing weakly uniform isotone mappings. (English) Zbl 1083.47042 Panam. Math. J. 15, No. 1, 57-68 (2005). The authors introduce weakly uniformly isotone mappings and prove a common fixed point theorem for a pair of mappings in Banach spaces. They prove an existence theorem for common solutions of two nonlinear differential equations in Banach spaces. Reviewer: Ulrich Kosel (Freiberg) Cited in 1 Document MSC: 47H10 Fixed-point theorems 54H25 Fixed-point and coincidence theorems (topological aspects) 47H04 Set-valued operators 47N20 Applications of operator theory to differential and integral equations 34G20 Nonlinear differential equations in abstract spaces Keywords:Banach spaces; condensing mapping; differential equations PDFBibTeX XMLCite \textit{D. Turkoglu} et al., Panam. Math. J. 15, No. 1, 57--68 (2005; Zbl 1083.47042)