Fixed point results for F-expansive mappings in ordered metric spaces

Gubran, Rqeeb; Alfaqih, Walled M.; Imdad, Mohammad

doi:10.31801/cfsuasmas.478652

Cited by 3 publications

(2 citation statements)

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“…Much later, in 1984, Wang [11] introduced the idea of expansive mapping and proved some fixed point results in this setting. Henceforth, many came up with the generalized expansive condition and proved certain fixed point results in various spaces (see [5,6,8] ). Recently, Górnicki [5] presented some fixed point results in ‫-ܨ‬expansive map with the help of which certain fixed point results were provided and further, applied on ‫-ܩ‬metric space.…”

Section: Introductionmentioning

confidence: 99%

Some fixed point results using F-weak expansive mapping in relation theoretic metric space

Malhotra

Kumar

2022

J. Phys.: Conf. Ser.

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In this paper, we put forward the notion of F-weak expansive mapping and simultaneously prove some fixed point result specifically in relation theoretic metric space. In addition, our result generalizes one of the results obtained by [Jaroslaw Górnicki (2016). Fixed point theorems for F-expanding mappings, Fixed Point Theory and Applications, 2017(1)]. Also, some illustration is provided which further substantiates the result proved herein.

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Section: Introductionmentioning

confidence: 99%

Some fixed point results using F-weak expansive mapping in relation theoretic metric space

Malhotra

Kumar

2022

J. Phys.: Conf. Ser.

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“…Thereafter, several authors obtained many fixed point theorems for expansive mappings. For more details see [4][5][6][7][8]. Sessa [9] defined weak commutativity and proved a common fixed point theorem for weakly commuting maps.…”

Section: Introductionmentioning

confidence: 99%

Fixed Point Results of Expansive Mappings in Metric Spaces

Yeşilkaya

Aydın

2020

Mathematics

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In this study, we introduce the concept of θ-expansive mapping in ordered metric spaces and prove a fixed point theorem for such mappings. We give some fixed point results for θ-expansive mapping in metric spaces and prove fixed point theorems for such mappings. These results extend the main results of many comparable results from the current literature. We also obtain a common fixed point theorem of two weakly compatible mappings in metric spaces. Finally, the examples are presented to support the new theorems and results proved.

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