Some fixed point theorems on cone 2-metric spaces over Banach algebras

Wu, Guangrong; Yang, Liping

doi:10.1007/s11784-018-0588-4

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Journal Of Function Spaces1

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2021

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“…☐ Remark 31. Theorem 30 of this paper extends and improves Theorem 2.1 of [30] from cone metric spaces to cone b 2 -metric spaces; also, it extends and improves Theorem 3.2 of [17] and Theorem 3.1 of [31] from one family and two families, respectively, to four families of mappings.…”

Section: Journal Of Function Spacessupporting

confidence: 63%

Some Coincidence and Common Fixed-Point Results on Cone $b_{2}$ -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

Islam

Sarwar

Filali

et al. 2021

Journal of Function Spaces

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In this article, common fixed-point theorems for self-mappings under different types of generalized contractions in the context of the cone b 2 -metric space over the Banach algebra are discussed. The existence results obtained strengthen the ones mentioned previously in the literature. An example and an application to the infinite system of integral equations are also presented to validate the main results.

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Section: Journal Of Function Spacessupporting

confidence: 63%

Some Coincidence and Common Fixed-Point Results on Cone $b_{2}$ -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

Islam

Sarwar

Filali

et al. 2021

Journal of Function Spaces

View full text Add to dashboard Cite

show abstract

Some fixed point theorems on cone 2-metric spaces over Banach algebras

Cited by 1 publication

References 15 publications

Some Coincidence and Common Fixed-Point Results on Cone $b_{2}$ -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

Some Coincidence and Common Fixed-Point Results on Cone $b_{2}$ -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

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Some fixed point theorems on cone 2-metric spaces over Banach algebras

Cited by 1 publication

References 15 publications

Some Coincidence and Common Fixed-Point Results on Cone b 2 -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

Some Coincidence and Common Fixed-Point Results on Cone b 2 -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

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Product

Resources

About

Some Coincidence and Common Fixed-Point Results on Cone $b_{2}$ -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

Some Coincidence and Common Fixed-Point Results on Cone $b_{2}$ -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations