Fixed Point Theorems for Almost $\alpha$-$\psi$-Contractive Mappings in F-metric Spaces

Abstract

In this paper, we introduce an almost $\alpha$-$\psi$-contraction and a rational type $\alpha$-$\psi$-contraction for $\alpha$-admissible mappings in complete $F$-metric spaces which were introduced as a generalization of metric spaces. We prove the existence of a fixed point for these type contractions.

Keywords

• Almost contraction
• $\alpha$-Admissible mapping
• Fixed point
• $F$-Metric

References

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