Abstract
In this paper, we investigate the existence of fixed points that are not necessarily unique in the setting of extended b-metric space. We state some examples to illustrate our results.
Highlights
Introduction and PreliminariesMetric fixed point theory was initiated by the elegant results of Banach, the contraction mapping principle, and all researchers in this area agree on this
He formulated that every contraction in a complete metric space possesses a unique fixed point
Researchers have generalized this result by refining the contraction condition and/or by changing the metric space with a refined abstract space
Summary
Introduction and PreliminariesMetric fixed point theory was initiated by the elegant results of Banach, the contraction mapping principle, and all researchers in this area agree on this. In an extended-bMS, it is possible to obtain an analogy of basic topological notions, such as convergence, Cauchy sequences, and completeness. An extended-bmetric space ( X, dθ ) is complete if every Cauchy sequence in X is convergent.
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