Fixed point results of continuation type are presented for random operators. Some applications to stochastic integral equations of Volterra type are also given.

New fixed point theorems are given which have applications in the theory of abstract economies.

We present some existence results for the ''nonresonant'' singular boundary value problem 1/pq(py')'+ mu y = f(t, y) a.e. on [0,1] with lim(t-->0) + p(t)y'(t)=y(1)=0. Here mu is such that 1/pq(pu')'+mu u=0 a.e. on [0,1] ...

Existence theory is developed for the ''resonant'' singular problem (1/(pq))(py')' + lambda(0)y = f(t,y,py') almost everywhere on [0, 1] with lim(t-->0+) p(t)y'(t) = ay(1) + blim(t-->1-) p(t)y'(t) = 0. Here lambda(0) ...

We present a coincidence principle for concentrative maps. This leads to new fixed point theory for nonlinear operators.

A nonlinear alternative of Leray-Schauder type is presented for condensing operators with closed graph. We will then use this theorem to establish new existence principles for differential and integral inclusions in Banach spaces.

Existence principles are given for systems of differential equations with reflection of the argument. These are derived using fixed point analysis, specifically the Nonlinear Alternative. Then existence results are deduced ...