@Article{CMR-35-225, author = {Piao , Yongjie}, title = {Common Fixed Points for Two Mappings with Implicit-Linear Contractions on Partially Ordered 2-Metric Spaces}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {3}, pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.03.04}, url = {http://global-sci.org/intro/article_detail/cmr/13528.html} }