Common fixed point theorems for variants of R-weakly commuting mappings in topologically complete Tychonoff (uniform) spaces

Common Fixed Point Theorems for Variants of R-weakly Commuting Mappings in Topologically Complete Tychonoff (uniform) Spaces

Three variants of R-weakly commuting mappings in the realm of uniform spaces are defined. Examples are included to reflect upon the distinctiveness of the notions so defined. Common fixed point theorems concerning these variants of R-weakly commuting mappings in the framework of uniform spaces are obtained. This generalizes several known results in the literature including those of Granas and D...

Some notes on ``Common fixed point of two $R$-weakly commuting mappings in $b$-metric spaces"

Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the...

Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications

In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876]introduced the notion of occasionally weakly compatible mappings (shortly owcmaps) which is more general than all the commutativity concepts. In the presentpaper, we prove common xed point theorems for families of owc maps in Mengerspaces. As applications to ...

Common Fixed Point Theorems for Four Mappings in Complete Metric Spaces

Common Fixed Point Theorems for Weakly Increasing Mappings on Ordered Uniform Spaces

In the present paper, we give a common fixed point theorem for two weakly increasing mappings on ordered Hausdorff uniform spaces, using the distance p: Two multivalued versions of this result are also presented. 2000 Mathematics Subject Classification: Primary 54H25; Secondary 47H10