Some Results on Fixed Points for Monotone Inward Mappings in Geodesic Spaces

Abstract

In this article, the partially ordered relation is constructed in geodesic spaces by betweeness property, A monotone sequence is generated in the domain of monotone inward mapping, a monotone inward contraction mapping is a monotone Caristi inward mapping is proved, the general fixed points for such mapping is discussed and A mutlivalued version of these results is also introduced.

Keywords

• Contraction mapping, Fixed points, Geodesic metric spaces, Lower semi-continuous function, Monotone Caristi inward mapping, Multivalued mapping.