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Fixed point theorems for some generalized contractive multi-valued mappings and fuzzy mappings

机译:一些广义压缩多值映射和模糊映射的不动点定理

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In this paper, first we give a theorem which generalizes the Banach contraction principle and fixed point theorems given by many authors, and then a fixed point theorem for a multi-valued (θ, L)-weak contraction. We extend the notion of (θ, L)-weak contraction to fuzzy mappings and obtain some fixed point theorems. A coincidence point theorem for a hybrid pair of mappings f : X → X and T : X → W (X) is established. Later on we prove a fixed point theorem for a di.erent type of fuzzy mapping.
机译:在本文中,我们首先给出一个定理,该定理推广了许多作者给出的Banach收缩原理和不动点定理,然后给出了多值(θ,L)弱收缩的不动点定理。我们将(θ,L)弱收缩的概念扩展到模糊映射并获得一些不动点定理。建立了映射f:X→X和T:X→W(X)的混合映射的重合点定理。稍后我们证明了另一类模糊映射的不动点定理。

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