Article ID: MTJPAM-D-21-00064

Title: Some classes of higher order general convex functions and variational inequalities


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00064; Volume 5 / Issue 3 / Year 2023, Pages 1-15

Document Type: Research Paper

Author(s): Muhammad Aslam Noor a , Khalida Inayat Noor b

aDepartment of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

bDepartment of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

Received: 14 November 2021, Accepted: 8 January 2022, Published: 12 March 2022.

Corresponding Author: Muhammad Aslam Noor (Email address: noormaslam@gmail.com)

Full Text: PDF

Abstract

Some new classes the higher order convex functions with respect to an arbitrary function are introduced and studied. Properties of the general functions are investigated. Higher order general variational inequalities are considered. Several important problems such as are deduced as special cases. Several iterative schemes are proposed. Convergence of the proposed methods are analyzed. Parallelogram laws are derived as applications. Results obtained can be viewed as important refinement of the known results.

Keywords: General convex functions, variational inequalities, parallelogram laws

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