Displaying similar documents to “Some Fixed Point Theorems for Kannan Mappings”

Common fixed points for four non-self mappings in partial metric spaces

Terentius Rugumisa, Santosh Kumar, Mohammad Imdad (2020)

Mathematica Bohemica

Similarity:

We formulate a common fixed point theorem for four non-self mappings in convex partial metric spaces. The result extends a fixed point theorem by Gajić and Rakočević (2007) proved for two non-self mappings in metric spaces with a Takahashi convex structure. We also provide an illustrative example on the use of the theorem.

Strictly convex metric spaces with round balls and fixed points

Inese Bula (2005)

Banach Center Publications

Similarity:

The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.

A fixed point theorem for nonexpansive compact self-mapping

T. D. Narang (2014)

Annales UMCS, Mathematica

Similarity:

A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject