<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The foremost target of the proposed work focuses on establishing fixed point theorems for the new concept named Intuitionistic fuzzy cone-b metric space (in short IFCbMS). Various definitions like compatible mappings, weakly-compatible maps (WC maps) and E.A. property are also used to prove new results for IFCbMS. The proofs of fixed points for FMS, IFMS, NFMS in the setting of E.A. property are taken as base for this research. Examples mentioned in the paper are increasing the importance of the research done. An application is also given to show the importance of the result proved. The application of this paper leads to the solution of an integral equation in context of implicit functions.</p>
</abstract>

The foremost target of the proposed work focuses on establishing fixed point theorems for the new concept named Intuitionistic fuzzy cone-b metric space (in short IFCbMS). Various definitions like compatible mappings, weakly-compatible maps (WC maps) and E.A. property are also used to prove new results for IFCbMS. The proofs of fixed points for FMS, IFMS, NFMS in the setting of E.A. property are taken as base for this research. Examples mentioned in the paper are increasing the importance of the research done. An application is also given to show the importance of the result proved. The application of this paper leads to the solution of an integral equation in context of implicit functions.

Some new fixed point results in Intuitionistic fuzzy cone-b metric spaces

Journal of Applied Mathematics, Statistics and Informatics

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

{"article-title":"Some new fixed point results in Intuitionistic fuzzy cone-b metric spaces"}

The foremost target of the proposed work focuses on establishing fixed point theorems for the new concept named Intuitionistic fuzzy cone-b metric space (in...

Some new fixed point results in Intuitionistic fuzzy cone-b metric spaces

Published Online: Jan 06, 2024

Page range: 39 - 56

Received: Jul 01, 2023

DOI: https://doi.org/10.2478/jamsi-2023-0009

Keywords
IFCbMS, E.A. property, compatible maps, WC maps

© 2023 S. Kapoor et al., published by Sciendo

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

Some new fixed point results in Intuitionistic fuzzy cone-b metric spaces

Published Online: Jan 06, 2024

Page range: 39 - 56

Received: Jul 01, 2023

DOI: https://doi.org/10.2478/jamsi-2023-0009

KeywordsIFCbMS, E.A. property, compatible maps, WC maps

© 2023 S. Kapoor et al., published by Sciendo

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

Keywords
IFCbMS, E.A. property, compatible maps, WC maps