Next Article in Journal
Nonuniform Sampling in Lp-Subspaces Associated with the Multi-Dimensional Special Affine Fourier Transform
Previous Article in Journal
Mathematical Methods in Applied Sciences
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Axioms
Volume 13
Issue 5
10.3390/axioms13050328
axioms-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Coercive and Noncoercive Mixed Generalized Complementarity Problems

by
Ram N. Mohapatra
1,*,†,
Bijaya K. Sahu
2,† and
Gayatri Pany
3,†
1
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
2
Department of Mathematics, Chandbali College, Chandbali, Bhadrak 756133, Odisha, India
3
Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar 382007, Gujarat, India
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Axioms 2024, 13(5), 328; https://doi.org/10.3390/axioms13050328
Submission received: 31 March 2024 / Revised: 10 May 2024 / Accepted: 11 May 2024 / Published: 15 May 2024
(This article belongs to the Special Issue Large-Scale Optimization and Variational Inequalities: Theory and Applications)
Versions Notes

Abstract

Impressed with the very recent developments of noncoercive complementarity problems and the use of recession sets in complementarity problems, here, we discuss mixed generalized complementarity problems in Hausdorff topological vector spaces. We used the Tikhonov regularization procedure, as well as arguments from the recession analysis, to establish the existence of solutions for mixed generalized complementarity problems without coercivity assumptions in Banach spaces.
Keywords: complementarity problem; Tikhonov regularization procedure; copositive mapping; recession function; recession cone; variational inequality complementarity problem; Tikhonov regularization procedure; copositive mapping; recession function; recession cone; variational inequality

Share and Cite

MDPI and ACS Style

Mohapatra, R.N.; Sahu, B.K.; Pany, G. Coercive and Noncoercive Mixed Generalized Complementarity Problems. Axioms 2024, 13, 328. https://doi.org/10.3390/axioms13050328

AMA Style

Mohapatra RN, Sahu BK, Pany G. Coercive and Noncoercive Mixed Generalized Complementarity Problems. Axioms. 2024; 13(5):328. https://doi.org/10.3390/axioms13050328

Chicago/Turabian Style

Mohapatra, Ram N., Bijaya K. Sahu, and Gayatri Pany. 2024. "Coercive and Noncoercive Mixed Generalized Complementarity Problems" Axioms 13, no. 5: 328. https://doi.org/10.3390/axioms13050328

APA Style

Mohapatra, R. N., Sahu, B. K., & Pany, G. (2024). Coercive and Noncoercive Mixed Generalized Complementarity Problems. Axioms, 13(5), 328. https://doi.org/10.3390/axioms13050328

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop