On common fixed points of a sequence of mappings

The aim of this paper is to obtain a fixed point theorem for a sequence of mappings satisfying a Lipschitz type condition. As compared to the analogous results, some mappings of the present theorem need not satisfy any noncommutativity conditions and therefore our results generalize a number of well-known fixed point theorems in the existing literature.

A theorem for a fluid Stokes flow

A sphere theorem for non-axisymmetric Stokes flow of a viscous fluid of viscosity μe past a fluid sphere of viscosity μi is stated and proved. The existing sphere theorems in Stokes flow follow as special cases from the present theorem. It is observed that the expression for drag on the fluid sphere is a linear combination of rigid and shear-free drags.