Some New Results on Equivalent Cauchy Sequences and Their Applications to Meir-Keeler Contraction in Partial Rectangular Metric Space

Duraj, Sidite; Sila, Eriola; Hoxha, Elida

doi:10.13189/ms.2021.090606

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2022

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“…Taking limit when and since , we have that , hence the sequence is Cauchy [13][14][15][16][17][18][19].…”

Section: Using We Havementioning

confidence: 99%

A Common Fixed-point Theorem of Mappings on S-metric Spaces

Duraj

Liftaj²

2022

AJPAS

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Fixed Point Theory is developed during the years by generalizing various types of contractions or changing the axioms of metric spaces. The S-metric spaces extend the concept of metric spaces since the determination of axioms of S-metric are more general. In this paper, we prove a common fixed-point theorem of two mappings in S-metric space. The theorem uses an implicit contractive condition, based on functions of class F6. With the change of the form of the functions of class F6 , we obtain different results for common fixed points of two functions.

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“…Taking limit when and since , we have that , hence the sequence is Cauchy [13][14][15][16][17][18][19].…”

Section: Using We Havementioning

confidence: 99%