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Fixed point results of enriched interpolative Kannan type operators with applications

Authors :
Abbas, Mujahid
Anjum, Rizwan
Riasat, Shakeela
Publication Year :
2022

Abstract

The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains the classes 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 Krasnoselskii 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 problem is solved.

Subjects

Subjects :
Mathematics - Functional Analysis

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2209.13200
Document Type :
Working Paper