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

<p>In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two <italic>d</italic>-complete topological spaces under the suitable conditions. We also derive some related fixed point theorems from our main results. Finally, by using <italic>w</italic>-continuity, we establish a related fixed point theorem in <italic>d</italic>-complete Hausdorff topological spaces.</p>
</abstract>

In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two d-complete topological spaces under the suitable conditions. We also derive some related fixed point theorems from our main results. Finally, by using w-continuity, we establish a related fixed point theorem in d-complete Hausdorff topological spaces.

On related fixed points in two <italic>d</italic>-complete topological spaces

General Mathematics

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

On related fixed points in two -complete topological spaces

In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two d-complete topological spaces under the...

On related fixed points in two d-complete topological spaces

Published Online: Mar 07, 2024

Page range: 27 - 38

Received: Jul 21, 2023

Accepted: Dec 14, 2023

DOI: https://doi.org/10.2478/gm-2023-0010

Keywords
fixed point, related fixed point, -complete topological space

© 2023 Hakan Karayılan et al., published by Sciendo

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

On related fixed points in two d-complete topological spaces

Published Online: Mar 07, 2024

Page range: 27 - 38

Received: Jul 21, 2023

Accepted: Dec 14, 2023

DOI: https://doi.org/10.2478/gm-2023-0010

Keywordsfixed point, related fixed point, -complete topological space

© 2023 Hakan Karayılan et al., published by Sciendo

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

Keywords
fixed point, related fixed point, -complete topological space