Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left(Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$with $X$ uniformly convex and compactly embedded into $Y.$ The inverseiteration method is applied to solve the abstract eigenvalue problem$A(w)=\lambda\left\Vert w\right\Vert_{Y}^{p-q}B(w),$ where the maps$A:X\rightarrow X^{\star}$ and $B:Y\rightarrow Y^{\star}$ are homogeneous ofdegrees $p-1$ and $q-1,$ respectively.
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机译：假设$ \ left（X，\ left \ Vert \ cdot \ right \ Vert_ {X} \ right）$和$ \ left（Y，\ left \ Vert \ cdot \ right \ Vert_ {Y} \ right）$是Banach $ \ mathbb {R}上的空间，$$$均匀凸并紧凑地嵌入到$ Y中。$逆迭代方法用于解决抽象特征值问题$ A（w）= \ lambda \ left \ Vert w \ right \ Vert_ {Y} ^ {pq} B（w），$，其中地图$ A：X \ rightarrow X ^ {\ star} $和$ B：Y \ rightarrow Y ^ {\ star} $是度数$ p的同类-1 $和$ q-1，$。
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