Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces
We consider the class of mappings endowed with the condition E in a nonlinear domain called 2-uniformly convex hyperbolic space. We provide some strong and Δ-convergence theorems for this class of mappings under the Agarwal iterative process. In order to support the main outcome, we procure an examp...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/7930128 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561434129596416 |
|---|---|
| author | Junaid Ahmad Kifayat Ullah Hüseyin Işik Muhammad Arshad Manuel de la Sen |
| author_facet | Junaid Ahmad Kifayat Ullah Hüseyin Işik Muhammad Arshad Manuel de la Sen |
| author_sort | Junaid Ahmad |
| collection | DOAJ |
| description | We consider the class of mappings endowed with the condition E in a nonlinear domain called 2-uniformly convex hyperbolic space. We provide some strong and Δ-convergence theorems for this class of mappings under the Agarwal iterative process. In order to support the main outcome, we procure an example of mappings endowed with the condition E and prove that its Agarwal iterative process is more effective than Mann and Ishikawa iterative processes. Simultaneously, our results hold in uniformly convex Banach, CAT(0), and some CAT(κ) spaces. This approach essentially provides a new setting for researchers who are working on the iterative procedures in fixed point theory and applications. |
| format | Article |
| id | doaj-art-6e51de78f281488b9fa186866e1ea455 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6e51de78f281488b9fa186866e1ea4552025-02-03T01:24:59ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/79301287930128Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric SpacesJunaid Ahmad0Kifayat Ullah1Hüseyin Işik2Muhammad Arshad3Manuel de la Sen4Department of Mathematics and Statistics, International Islamic University, H-10 Islamabad-44000, PakistanDepartment of Mathematics, University of Lakki Marwat, Lakki Marwat, 28420 Khyber Pakhtunkhwa, PakistanDepartment of Engineering Science, Bandırma Onyedi Eylül University, 10200 Bandırma, Balıkesir, TurkeyDepartment of Mathematics and Statistics, International Islamic University, H-10 Islamabad-44000, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644-Bilbao, Barrio Sarriena, 48940 Leioa, SpainWe consider the class of mappings endowed with the condition E in a nonlinear domain called 2-uniformly convex hyperbolic space. We provide some strong and Δ-convergence theorems for this class of mappings under the Agarwal iterative process. In order to support the main outcome, we procure an example of mappings endowed with the condition E and prove that its Agarwal iterative process is more effective than Mann and Ishikawa iterative processes. Simultaneously, our results hold in uniformly convex Banach, CAT(0), and some CAT(κ) spaces. This approach essentially provides a new setting for researchers who are working on the iterative procedures in fixed point theory and applications.http://dx.doi.org/10.1155/2021/7930128 |
| spellingShingle | Junaid Ahmad Kifayat Ullah Hüseyin Işik Muhammad Arshad Manuel de la Sen Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces Advances in Mathematical Physics |
| title | Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces |
| title_full | Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces |
| title_fullStr | Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces |
| title_full_unstemmed | Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces |
| title_short | Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces |
| title_sort | iterative construction of fixed points for operators endowed with condition e in metric spaces |
| url | http://dx.doi.org/10.1155/2021/7930128 |
| work_keys_str_mv | AT junaidahmad iterativeconstructionoffixedpointsforoperatorsendowedwithconditioneinmetricspaces AT kifayatullah iterativeconstructionoffixedpointsforoperatorsendowedwithconditioneinmetricspaces AT huseyinisik iterativeconstructionoffixedpointsforoperatorsendowedwithconditioneinmetricspaces AT muhammadarshad iterativeconstructionoffixedpointsforoperatorsendowedwithconditioneinmetricspaces AT manueldelasen iterativeconstructionoffixedpointsforoperatorsendowedwithconditioneinmetricspaces |