Applications of Generalized Monotonicity to Variational-Like Inequalities and Equilibrium Problems

DOI10.1007/978-81-322-2485-3_12zbMath1357.47055OpenAlexW2321393386MaRDI QIDQ2801905

Ram N. Mohapatra, Nihar Kumar Mahato

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_12

zbMATH Keywords

variational-like inequality problemequilibrium problem\((\rho\mathrm{-}\theta)\)-monotonicityKKM mapppingrelaxed \((\rho\mathrm{-}\theta)\)-\(\eta\)-invariant monotonicity

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05)

Cites Work

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• Mixed equilibrium problems with relaxed \(\alpha\)-monotone mapping in Banach spaces
• On the natural solution of an impulsive fractional differential equation of order \(q\in (1,2)\)
• Variational-like inequalities and equilibrium problems with generalized monotonicity in Banach spaces
• Some properties of convex sets related to fixed point theorems
• Generalized invexity and generalized invariant monotonicity
• Variational-like inequalities with generalized monotone mappings in Banach spaces
• Variational inequalities for \((\eta,\theta)\)-pseudomonotone operators in nonreflexive Banach spaces
• Generalized \((\rho,\theta)\)-\(\eta\)-invexity and generalized \((\rho,\theta)\)-\(\eta \)-invariant-monotonicity
• Variational-like inequalities with relaxed \(\eta -\alpha\) pseudomonotone mappings in Banach spaces
• Nonlinear monotone operators and convex sets in Banach spaces
• Variational inequalities
• Existence results for densely pseudomonotone variational inequalities

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