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首页> 外文期刊>Advances in the Theory of Nonlinear Analysis and its Applications >A new multiple fixed point theorem with applications
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A new multiple fixed point theorem with applications

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摘要

The purpose of this work is to establish an extension of a Bai-Ge type multiple fixed point theorem for a sum of two operators. The arguments are based upon recentfixed point index theory in cones of Banach spaces for a k-set contraction perturbed by an expansive operator. As illustration, our approach is applied to prove theexistence of at least three nontrivial non-negative solutions for a class eigenvalue three-point BVPs for a class of fourth order ordinary differential equations (ODEsfor short).

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