loading page

Some Results on Coupled Coincidence Points in Vector Quasi Cone Metric Spaces over Banach Algebras with Satisfactory Cones
  • Sahar Mohamed Ali Abou Bakr
Sahar Mohamed Ali Abou Bakr
Ain Shams University Faculty of Science

Corresponding Author:[email protected]

Author Profile

Abstract

Abstract. In this paper, let (X;C;DC; χ) be a complete parametric vector quasi cone metric space over a Banach algebra A, C be a cone in A that contains some semi-interior points, χ be a metric parameter in C with spectral radius greater than or equal one and T from X xX to X be a generalized contraction mapping its parametric contractions are vectors in C, with these settings and without relying on the assumptions of normality and solidness of C we proved the existence of coupled coincidence points of the mapping T and hence generalized many theorems concerned with the existence of coupled coincidence points of such types and we supported these results with some illustrative examples.