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<p>We contribute to the development of equivalence of fixed point iterative sequences for multivalued mappings in modular function spaces, by proving the equivalence of convergence of implicit Mann, implicit Ishikawa, implicit Noor, implicit multistep iterative sequences for multivalued ρ− quasi-contractive-like mapppings in modular function spaces. An example is provided to support the applicability of the results. This work is complementary to equivalence results on normed and metric spaces in the literature.</p>
</abstract>

We contribute to the development of equivalence of fixed point iterative sequences for multivalued mappings in modular function spaces, by proving the equivalence of convergence of implicit Mann, implicit Ishikawa, implicit Noor, implicit multistep iterative sequences for multivalued ρ− quasi-contractive-like mapppings in modular function spaces. An example is provided to support the applicability of the results. This work is complementary to equivalence results on normed and metric spaces in the literature.

Fixed point theorems and equivalence results for classes of multivalued mappings in modular function spaces

Acta Universitatis Sapientiae, Mathematica

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

We contribute to the development of equivalence of fixed point iterative sequences for multivalued mappings in modular function spaces, by proving the...

Fixed point theorems and equivalence results for classes of multivalued mappings in modular function spaces

Published Online: Nov 18, 2022

Page range: 1 - 22

DOI: https://doi.org/10.2478/ausm-2022-0001

Keywords
implicit multistep, implicit Mann iterative sequences, multivalued mappings, modular function spaces

© 2022 H. Akewe et al., published by Sciendo

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

Fixed point theorems and equivalence results for classes of multivalued mappings in modular function spaces

Published Online: Nov 18, 2022

Page range: 1 - 22

DOI: https://doi.org/10.2478/ausm-2022-0001

Keywordsimplicit multistep, implicit Mann iterative sequences, multivalued mappings, modular function spaces

© 2022 H. Akewe et al., published by Sciendo

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

Keywords
implicit multistep, implicit Mann iterative sequences, multivalued mappings, modular function spaces