Best Proximity Point for the Sum of Two Non-Self-Operators
In the present paper, we focus our attention on the existence of the fixed point for the sum of the cyclic contraction and the noncyclic accretive operator. Also, we study the best proximity point for the sum of two non-self-mappings. Moreover, we provide the existence of the best proximity point fo...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/9310750 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547671745757184 |
|---|---|
| author | V. Pragadeeswarar R. Gopi M. De la Sen |
| author_facet | V. Pragadeeswarar R. Gopi M. De la Sen |
| author_sort | V. Pragadeeswarar |
| collection | DOAJ |
| description | In the present paper, we focus our attention on the existence of the fixed point for the sum of the cyclic contraction and the noncyclic accretive operator. Also, we study the best proximity point for the sum of two non-self-mappings. Moreover, we provide the existence of the best proximity point for the cyclic contraction through the notion of the nonlinear D-set contraction. Finally, we give the existence of the best proximity point for the sum of the nonlinear D-set contraction mapping and partially completely continuous mapping in the setting of the partially ordered complete normed linear space. |
| format | Article |
| id | doaj-art-d2afe305137b441ba7ce508d5fa45ae9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d2afe305137b441ba7ce508d5fa45ae92025-02-03T06:44:00ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/93107509310750Best Proximity Point for the Sum of Two Non-Self-OperatorsV. Pragadeeswarar0R. Gopi1M. De la Sen2Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, IndiaDepartment of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, IndiaInstitute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940, Leioa, Bizkaia, SpainIn the present paper, we focus our attention on the existence of the fixed point for the sum of the cyclic contraction and the noncyclic accretive operator. Also, we study the best proximity point for the sum of two non-self-mappings. Moreover, we provide the existence of the best proximity point for the cyclic contraction through the notion of the nonlinear D-set contraction. Finally, we give the existence of the best proximity point for the sum of the nonlinear D-set contraction mapping and partially completely continuous mapping in the setting of the partially ordered complete normed linear space.http://dx.doi.org/10.1155/2020/9310750 |
| spellingShingle | V. Pragadeeswarar R. Gopi M. De la Sen Best Proximity Point for the Sum of Two Non-Self-Operators Journal of Mathematics |
| title | Best Proximity Point for the Sum of Two Non-Self-Operators |
| title_full | Best Proximity Point for the Sum of Two Non-Self-Operators |
| title_fullStr | Best Proximity Point for the Sum of Two Non-Self-Operators |
| title_full_unstemmed | Best Proximity Point for the Sum of Two Non-Self-Operators |
| title_short | Best Proximity Point for the Sum of Two Non-Self-Operators |
| title_sort | best proximity point for the sum of two non self operators |
| url | http://dx.doi.org/10.1155/2020/9310750 |
| work_keys_str_mv | AT vpragadeeswarar bestproximitypointforthesumoftwononselfoperators AT rgopi bestproximitypointforthesumoftwononselfoperators AT mdelasen bestproximitypointforthesumoftwononselfoperators |