Remarks on some recent metrical common fixed point theorems

Remarks on Recent Fixed Point Theorems

Metrical common fixed point theorems without completeness and closedness

* Correspondence: [email protected] Department of Mathematics and Humanities, S.V. National Institute of Technology, Surat, Gujarat, India Full list of author information is available at the end of the article Abstract In this article, we point out that some recent results proved in Babu and Alemayehu are corollaries of the main result of an article due to Ali and Imdad. However, combinin...

Some common fixed point theorems for Gregus type mappings

In this paper, sufficient conditions for the existence of common fixed points for a compatible pair of self maps of Gregustype in the framework of convex metric spaces have been obtained. Also, established the existence of common fixed points for a pair of compatible mappings of type (B) and consequently for compatible mappings of type (A). The proved results generalize and extend some of the w...

Remarks on Lipschitzian Mappings and Some Fixed Point Theorems

Let X, Y be the normed spaces, C ⊂ X a convex set, and T : C → Y a continuous mapping. Some weak conditions implying the Lipschitz continuity of T are presented. Applications to the fixed point theory and theory of composition operators are presented.

Some fixed point theorems and common fixed point theorem in log-convex structure

Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.