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Enriched Kannan operators
Interpolative Kannan type contraction
Krasnoselskij iteration
Well-posedness
Periodic point
Ulam-Hyers stability
Variational inequality problem
[EN] The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains theclasses of enriched Kannan operators, interpolative Kannan type contraction operators and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. A convergence theorem for the Krasnoselskij iteration method to approximate fixed 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 problems is solved.
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Abierto
http://hdl.handle.net/10251/187139
Universitat Politècnica de València
Rizwan Anjum
Shakeela Riasat
Applied General Topology
Inglés
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