Fixed point results of enriched interpolative Kannan type operators with applications

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dc.contributor.author Abbas, Mujahid
dc.contributor.author Anjum, Rizwan
dc.contributor.author Riasat, Shakeela
dc.date.accessioned 2023-04-24T07:56:59Z
dc.date.available 2023-04-24T07:56:59Z
dc.date.issued 2022
dc.description.abstract The purpose of this paper is to introduce the class of enriched in- terpolative Kannan type operators on Banach space that contains the classes of enriched Kannan operators, interpolative Kannan type con- traction operators and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. A convergence theorem for the Krasnoselskii iteration method to approx- imate xed point of the enriched interpolative Kannan type operators is proved. We study well-posedness, Ulam-Hyers stability and periodic point property of operators introduced herein. As an application of the main result, variational inequality problem is solved. en_US
dc.description.department Mathematics and Applied Mathematics en_US
dc.description.librarian am2023 en_US
dc.identifier.citation Abbas, M., Anjum, R. & Riasat. S. 2022, 'Fixed point results of enriched interpolative Kannan type operators with applications', Applied General Topology, vol. 23, no. 2, pp. 391-404, doi : 10.4995/agt.2022.16701. en_US
dc.identifier.issn 1576-9402 (print)
dc.identifier.issn 1989-4147 (online)
dc.identifier.other 10.4995/agt.2022.16701
dc.identifier.uri http://hdl.handle.net/2263/90429
dc.language.iso en en_US
dc.publisher Universidad Politécnica de Valencia en_US
dc.rights © AGT, UPV, 2022. en_US
dc.subject Fixed point en_US
dc.subject Enriched Kannan operators; en_US
dc.subject Interpolative Kannan type contraction en_US
dc.subject Well-posedness en_US
dc.subject Periodic point en_US
dc.subject Ulam-Hyers stability en_US
dc.subject Variational inequality problem en_US
dc.subject Krasnoselskii iteration en_US
dc.title Fixed point results of enriched interpolative Kannan type operators with applications en_US
dc.type Article en_US


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