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Item Some fixed point theorems in complex valued Gb-metric spaces(Yokohama Publications, 2017) Ege O.In this study, we prove a common fixed point theorem in the complex valued Gb,-metric spaces using a concept of a-series. We also introduce α - ψ-contractive mapping and prove a fixed point theorem in this space. © 2017.Item COMMON FIXED POINT THEOREMS IN INCOMPLETE METRIC SPACES WITH APPLICATION(Yokohama Publications, 2022) Özkan K.In this paper, we proved common fixed point theorems endowed with an orthogonal relation for two ⊥-commuting mappings. As some corollaries of our theorems, we obtain the generalizations of the Banach's, Kannan's, Reich's, Chatterjea's fixed point theorems and others for the orthogonal sets. Finally, we give an application of our main results to establish the existence and uniqueness of a common solution of system of Urysohn integral equations. © 2022 Yokohama Publications. All rights reserved.