A picture fuzzy -normed linear space (), a mixture of a picture fuzzy set and an -normed linear space, is a proficient concept to cope with uncertain and unpredictable real-life problems. The purpose of this manuscript is to present some novel contractive conditions based on . By using these contractive conditions, we explore some fixed point theorems in a picture fuzzy -Banach space (). The discussed modified results are more general than those in the existing literature which are based on an intuitionistic fuzzy -Banach space () and a fuzzy -Banach space. To express the reliability and effectiveness of the main results, we present several examples to support our main theorems.

中文翻译：

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具有某些新收缩条件的新型图片模糊-Banach空间及其不动点结果

一种图像模糊-赋范线性空间（），和图像模糊集合的混合物的-赋范线性空间，是一个精通概念，以应付不确定的和不可预测的现实问题。该手稿的目的是提出一些新的收缩条件。通过使用这些收缩的条件下，我们探讨了模糊图片的一些不动点定理-巴拿赫空间（）。所讨论的改性结果比那些在现有文献其基于一个直觉模糊更一般的-的Banach空间（）和一个模糊-Banach空间。为了表达主要结果的可靠性和有效性，我们提供了几个例子来支持我们的主要定理。