Abstract
In this paper, set valued Reich type G-contractions are introduced in the framework of a complete metric space equipped with graph. Existence and uniqueness of fixed points for these contractions are established. We provide the graph version of Reich’s theorems for set valued mappings. Further, Kannan’s theorem in this context has been stated as a consequence. Examples have been constructed to signify the validity of our results.
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Debnath, P., Neog, M. & Radenović, S. Set valued Reich type G-contractions in a complete metric space with graph. Rend. Circ. Mat. Palermo, II. Ser 69, 917–924 (2020). https://doi.org/10.1007/s12215-019-00446-9
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DOI: https://doi.org/10.1007/s12215-019-00446-9