On a New Type of $F-$function Fixed Point Theorem in Generalized Orthogonal $b-$Metric Spaces
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Keywords:$O-b-$metric space, fixed point, $O-\alpha -$admissible , orthogonal generalized contractive mapping, $F-$type functions, weak exchange preservation
In this paper, we propose the concept of contraction of orthogonal $F-$type functions of contractive mappings and weak exchange preservation and prove one fixed point theorems on complete orthogonal $b-$metric spaces. We also provide an example that supports our theorem.
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