SOME GENERALIZATIONS OF b-METRIC SPACES AND CORRESPONDING FIXED POINT RESULTS

I. Shereen; Q. Kiran; H. Aydi

SOME GENERALIZATIONS OF b-METRIC SPACES AND CORRESPONDING FIXED POINT RESULTS

I. Shereen
, Q. Kiran
, H. Aydi

Research output: Contribution to journal › Article › peer-review

Abstract

The concepts of a complex-valued new extended b-metric space, a complex-valued new extended rectangular b-metric space and a new extended fuzzy rectangular b-metric space are utilized in finding the common fixed point results for some new generalized contractions. We extend and improve the conditions of contraction for the multi-valued mappings and a Banach-type contraction using Hadžić-type t-norms with strong Cauchy conditions.

Original language	English
Pages (from-to)	105-133
Number of pages	29
Journal	Acta Mathematica Universitatis Comenianae
Volume	94
Issue number	2
Publication status	Published - 27 May 2025
Externally published	Yes

Keywords

Generalized b-metric spaces
contraction mappings
fixed point

Cite this

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abstract = "The concepts of a complex-valued new extended b-metric space, a complex-valued new extended rectangular b-metric space and a new extended fuzzy rectangular b-metric space are utilized in finding the common fixed point results for some new generalized contractions. We extend and improve the conditions of contraction for the multi-valued mappings and a Banach-type contraction using Had{\v z}i{\'c}-type t-norms with strong Cauchy conditions.",

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AU - Aydi, H.

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N2 - The concepts of a complex-valued new extended b-metric space, a complex-valued new extended rectangular b-metric space and a new extended fuzzy rectangular b-metric space are utilized in finding the common fixed point results for some new generalized contractions. We extend and improve the conditions of contraction for the multi-valued mappings and a Banach-type contraction using Hadžić-type t-norms with strong Cauchy conditions.

AB - The concepts of a complex-valued new extended b-metric space, a complex-valued new extended rectangular b-metric space and a new extended fuzzy rectangular b-metric space are utilized in finding the common fixed point results for some new generalized contractions. We extend and improve the conditions of contraction for the multi-valued mappings and a Banach-type contraction using Hadžić-type t-norms with strong Cauchy conditions.

KW - Generalized b-metric spaces

KW - contraction mappings

KW - fixed point

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ER -

SOME GENERALIZATIONS OF b-METRIC SPACES AND CORRESPONDING FIXED POINT RESULTS

Abstract

Keywords

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