Common coupled fixed point theorems for two pairs of weakly compatible mappings in Menger metric spaces

Abstract

In this paper, we prove some common coupled fixed point theorems for contractive mappings in Menger metric spaces under geometrically convergent t-norms. Also, we prove common fixed point theorems for pairs of weakly compatible mappings, which generalize the results of Jian-Zhong Xiao and al (2011). The main results is supported by a suitable examples.

Keywords

• first keyword
• second menger metric space
• g-convergent t-norm
• t-norm of h-type
• weak compatibility
• coupled common fixed point
• 47h10
• 54h25