Fixed point theorems for positive maps and applications (Q2634893)

The authors prove new fixed point theorems for positive maps having approximative minorant and majorant at \(0\) and \(\infty\) in specific classes of operators. As application, the existence of positive solutions is obtained for a boundary value problem involving a generalized \(p(t)\)-Laplacian operator of the form \[ \begin{cases} -(a(t)\phi(t,u'(t)))'(t)=f(t,u(t)),\quad t\in(0,1),\\ u'(0)=u(1)=0. \end{cases} \]