A New Algorithm for Variational Inequality Problems in CAT(0) Spaces-Reference-Cited by-同舟云学术

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A New Algorithm for Variational Inequality Problems in CAT(0) Spaces

Published:2024-07-12 Issue:14 Volume:12 Page:2193
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Kalsoom Amna¹,Rashid Maliha¹^ORCID,Bagdasar Ovidiu²³^ORCID,Nisa Zaib Un¹

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

2. School of Computing, University of Derby, Derby DE22 1GB, UK

3. Department of Mathematics, Faculty of Exact Sciences, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

Abstract

Numerous strong and weak convergence results on variational inequality problems are known in the literature. We here study a variational inequality problem by using the viscosity approximation method in the nonlinear CAT(0) space, where some novel theorems are established for strong and Δ-convergent sequences.

Funder

University of Alba Iulia

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/14/2193/pdf

Reference25 articles.

1. Kinderlehrer, D., and Stampacchia, G. (1980). An Introduction to Variational Inequalities and Their Applications, Academic Press.

2. On some non-linear elliptic differential-functional equations;Hartman;Acta Math.,1969

3. Variational inequalities;Lions;Commun. Pure Appl. Math.,1967

4. Convex programming and variational inequalities;Mancino;J. Optim. Theory Appl.,1972

5. Forms bilineares coercives sur les ensembles convexes;Stampacchia;Comptes Rendus Acad. Sci.,1964

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