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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.

Article Type

Article

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