A New Class of Accretive Mappings in Semi-Inner Product Space with an Application to Solve Variational Inclusion-Reference-Cited by-同舟云学术

A New Class of Accretive Mappings in Semi-Inner Product Space with an Application to Solve Variational Inclusion

Published:2023-06-07 Issue:6 Volume:12 Page:567
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Gupta Sanjeev¹^ORCID,Altaweel Nifeen Hussain²

Affiliation:

1. Department of Mathematics, GLA University, Mathura 281406, India

2. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

Abstract

This work aims to develop a new class of accretive mappings and investigate its associated class of proximal mappings. This new class of accretive mappings is known as generalized (Hk,φ)-η-accretive mappings. Further, the research work includes a discussion of its application, leading to set-valued variational-like inclusions (SVVLI, in short) in the semi-inner product spaces. The corresponding fixed point problem for SVVLI is given. This fixed point problem is used to provide an iterative scheme for solving SVVLI. Furthermore, we study the convergence analysis of the suggested iterative method. An illustration is built in support of our result.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/6/567/pdf

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