Abstract
In this paper, we prove some common fixed-point theorems for two self-mappings in the context of a complete b-metric space by proposing a new contractive type condition. Further, we derive a result for three self-mappings in the same setting. We provide two examples to demonstrate the validity of the obtained results.
Highlights
Introduction and PreliminariesIt would not be wrong to say that fixed-point theory was a results of the investigation of the existence and uniqueness of a solution of certain differential equations
We study certain common fixed-point theorems for three maps in the setting of complete b-metric spaces
We examined the existence and uniqueness of a common fixed point for such contractions in the framework of b-metric space
Summary
Introduction and PreliminariesIt would not be wrong to say that fixed-point theory was a results of the investigation of the existence and uniqueness of a solution of certain differential equations. We study certain common fixed-point theorems for three maps in the setting of complete b-metric spaces. (see Lemma 3 in [19]) Let f , g, h be self mappings on a non-empty set X and v ∈ X is the a unique coincidence point of f , g and h.
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