<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular <italic>b−</italic>metric space. To demonstrate the theorems, we employ a general form of (<italic>α, β</italic>) <italic>−</italic>admissible and multi-valued mappings and obtain some general results for single-valued mapping in the context of modular <italic>b−</italic>metric space.</p>
</abstract>

In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α, β) −admissible and multi-valued mappings and obtain some general results for single-valued mapping in the context of modular b−metric space.

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular <italic>b−</italic>Metric Spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular Metric Spaces

In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in...

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Publié en ligne: 21 oct. 2023

Pages: 61 - 86

Reçu: 26 sept. 2022

Accepté: 07 févr. 2023

DOI: https://doi.org/10.2478/auom-2023-0032

Mots clés
Modular metric space, Multi-valued mapping, Proinov-type function, Sehgal type contraction

© 2023 Abdurrahman Büyükkaya et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Publié en ligne: 21 oct. 2023

Pages: 61 - 86

Reçu: 26 sept. 2022

Accepté: 07 févr. 2023

DOI: https://doi.org/10.2478/auom-2023-0032

Mots clésModular metric space, Multi-valued mapping, Proinov-type function, Sehgal type contraction

© 2023 Abdurrahman Büyükkaya et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Modular metric space, Multi-valued mapping, Proinov-type function, Sehgal type contraction