Sentence examples for mapping principle and from inspiring English sources
In S-probabilistic metric spaces, the generalized contraction mapping principle and generalized best proximity point theorems have been proved by authors.
It uses lens of economic game theory, combined with Williams (2010) mapping principle and a modern theoretical account of human decision-making, to explore how theory about individual interactions in well-defined contexts (games) can explain collective behavior.
They proved the local existence for a generalized solution of the mixed problem under consideration by combining generalized contracted mapping principle and Schauder's fixed point principle and then proved the global existence for a generalized solution by means of Schauder's stronger fixed point principle.
The results are based on the contraction mapping principle and the Krasnoselskii fixed point theorem.
The results are based on the contraction mapping principle and the Schauder fixed point theorem.
Our results are based on the Banach contraction mapping principle and the Krasnoselskii fixed point theorem.
Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.
The results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.
By using the contraction mapping principle and Krasnoselskii's fixed point theorem, they obtained the existence of solutions for the equation.
Edelstein [1] generalized classical Banach's contraction mapping principle and Nadler [2] proved Banach's fixed point theorem for set-valued mappings.
The first approach invokes the method established in the works Bourgain (1994, 1996) [3], [4], [5] based on a contraction-mapping principle and applies to a certain range of nonlinearities.
