### Fixed point theorems for α-Geraghty contraction type maps in generalized metric spaces

#### Abstract

In this paper, we extend the notion of α-Geraghty contraction type maps on metric space to generalized metric spaces and we obtain conditions for α-Geraghty contraction on a generalized metric space to have a fixed point. We also establish the corresponding result in generalized metric spaces with partial order. Examples are provided to illustrate and highlight the results.

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