Common Fixed Points for Two Mappings with Implicit-Linear Contractions on Partially Ordered 2-Metric Spaces
Year: 2019
Author: Yongjie Piao
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 225–234
Abstract
In this paper, we introduce a new class ${\cal U}$ of 3-dimensional real functions, use ${\cal U}$ and a 2-dimensional real function $\phi$ to construct a new implicit-linear contractive condition and obtain some existence theorems of common fixed points for two mappings on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point. The obtained results well generalize and improve the corresponding conclusions in references.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.03.04
Communications in Mathematical Research , Vol. 35 (2019), Iss. 3 : pp. 225–234
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: 2-metric space class $\cal U$ of functions implicit-linear contraction common fixed point