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New fixed point theorems on b -metric spaces with applications to coupled fixed point theory
Journal of Fixed Point Theory and Applications ( IF 1.8 ) Pub Date : 2020-08-13 , DOI: 10.1007/s11784-020-00808-2
Monica-Felicia Bota , Liliana Guran , Adrian Petruşel

Let (Xd) be a complete b-metric space endowed with a partial order relation and \(f:X\rightarrow X\) be a Ćirić type operator. In this paper, an extended study of the fixed point equation \(x=f(x), \ x\in X\), is considered. As an application, coupled fixed point results are given in the same framework. Our results generalize some recent theorems in the literature.

中文翻译:

b度量空间上的新不动点定理及其在耦合不动点理论上的应用

令(X,  d)是具有偏序关系的完整b度量空间,\(f:X \ rightarrow X \)是Ćirić类型的运算符。本文考虑对定点方程\(x = f(x),\ x \ in X \)的扩展研究。作为应用程序,在同一框架中给出了耦合的定点结果。我们的结果概括了文献中的一些最新定理。
更新日期:2020-08-13
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