In this paper existence and uniqueness of fixed points are proved for self maps, satisfying a new contraction without assuming the compatibility commutative property maps. Some remarks applications to integral type given illustrate importance our results. An open problem future research is also given.

In 2009, Ilić and Rakoc̆ević proved that quasi-contraction maps on normal cone metric spaces have a unique fixed point (Ilić and Rakoc̆ević, 2009 [6]). Then, Kadelburg, Radenović and Rakoc̆ević generalized their results by considering an additional assumption (Kadelburg et al., 2009 [7]). Also, they proved that quasi-contraction maps on cone metric spaces have the property (P) whenever λ ∈ (0, 2 )...

In this paper, we introduce the new concept of mutual Reich contraction that involves a pair operators acting on distance space. We chose framework strong b-metric spaces (generalizing standard metric spaces) in order to add more extended underlying structure. provide sufficient conditions for two mutually contractive maps have common fixed point. The result is family any cardinality. dynamics ...

In this paper, we introduce fruitful concepts of common limit range and joint common limit range for coupled mappings on modified intuitionistic fuzzy metric spaces. An illustrations are also given to justify the notion of common limit range and joint common limit range property for coupled maps. The purpose of this paper is to prove fixed point results for coupled mappings on modified intuitio...

We consider the composition of random i.i.d. aane maps of a Hilbert space to itself. We show convergence of the n'th composition in the Wasserstein metric via a contraction argument. The contraction condition involves the operator norm of the expectation of a bilinear form. This is contrasted with the usual contraction condition of a negative Lyapunov exponent. Our condition is stronger but eas...