Variants of R-weakly commuting mappings satisfying a weak contraction

[摘要] In this paper, first we prove a common fixed point theorem for pairs of weakly compatible mappings satisfying a generalized $\phi$-weak contraction condition that involves cubic terms of metric functions. Secondly, we prove some results using different variants of $R$-weakly commuting mappings. At the end, we give an application in support of our results.

[学科分类] 数学（综合）

[关键词] φ-weak contraction;variant of R-weakly commuting mappings;common fixed point;sequence of mappings;compatible mapping