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http://dx.doi.org/10.22771/nfaa.2022.27.02.01

ON STUDY OF f-APPROXIMATION PROBLEMS AND σ-INVOLUTORY VARIATIONAL INEQUALITY PROBLEMS  

Mitra, Siddharth (School of Applied Sciences (Mathematics) KIIT University)
Das, Prasanta Kumar (School of Applied Sciences (Mathematics) KIIT University)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.2, 2022 , pp. 223-232 More about this Journal
Abstract
The purpose of the paper is to define f-projection operator to develop the f-projection method. The existence of a variational inequality problem is studied using fixed point theorem which establishes the existence of f-projection method. The concept of ρ-projective operator and σ-involutory operator are defined with suitable examples. The relation in between ρ-projective operator and σ-involutory operator are shown. The concept of σ-involutory variational inequality problem is defined and its existence theorem is also established.
Keywords
f-projection operator; f-approximation problem; involutory variational inequalities; projective variational inequalities;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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