Results 31 to 40 of about 505 (126)

On hemicontinuity of bifunctions for solving equilibrium problems

Advances in Nonlinear Analysis, 2014
This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems.
Alleche Boualem
doaj   +1 more source

Pseudomonotone variational inequalities and fixed points [PDF]

Fixed Point Theory, 2021
The authors establish strong convergence for two iterative algorithms regarding the solvability of some variational inequalities involving pseudomonotone operators.
Ceng, L. C., Petrușel, A., Qin, X., Yao, J. C.   +3 more
openaire   +2 more sources

Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law [PDF]

, 2018
The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions.
Dudek, Sylwia, Migórski, Stanisław
core   +1 more source

On a phase-field model for electrowetting and other electrokinetic phenomena [PDF]

, 2011
In three space dimensions, we present existence results for weak solutions to a novel two-phase model for various electrokinetic phenomena, including in particular dynamic electrowetting with electrolytes. The model is thermodynamically consistent.
Fontelos, M. A., Grün, G., Jörres, S.
core   +2 more sources

Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality

Journal of Inequalities and Applications, 2023
This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive ...
Lu-Chuan Ceng, Debdas Ghosh, Yekini Shehu, Jen-Chih Yao   +3 more
doaj   +1 more source

A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem

Abstract and Applied Analysis, Volume 2017, Issue 1, 2017., 2017
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be maximal monotone, S:X→2X⁎ be bounded and of type (S+), and C : D(C) → X⁎ be compact with D(T)⊆D(C) such that C lies in Γστ (i.e., there exist σ ≥ 0 and τ ≥ 0 such that ‖Cx‖ ≤ τ‖x‖ + σ for all x ∈ D(C)).
Teffera M. Asfaw, Stanislaw Migorski
wiley   +1 more source

A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities

Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016
Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X⁎. Let T:X⊇DT→2X⁎ be maximal monotone of type Γdϕ (i.e., there exist d ≥ 0 and a nondecreasing function ϕ : [0, ∞ → [0, ∞ with ϕ(0) = 0 such that 〈v⁎, x − y〉≥−d‖x‖ − ϕ(‖y‖) for all x ∈ D(T), v⁎ ∈ Tx, and y ∈ X), L : X⊃D(L) → X⁎ be linear ...
Teffera M. Asfaw, Adrian Petrusel
wiley   +1 more source

Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities

Journal of Applied Mathematics, 2012
We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique.
Muhammad Aslam Noor, Khalida Inayat Noor, Zhenyu Huang, Eisa Al-Said   +3 more
doaj   +1 more source

Variational‐Like Inequalities for Weakly Relaxed η‐α Pseudomonotone Set‐Valued Mappings in Banach Space

International Journal of Analysis, Volume 2016, Issue 1, 2016., 2016
We introduce and study variational‐like inequalities for generalized pseudomonotone set‐valued mappings in Banach spaces. By using KKM technique, we obtain the existence of solutions for variational‐like inequalities for generalized pseudomonotone set‐valued mappings in reflexive Banach spaces.
Syed Shakaib Irfan, Mohammad Firdosh Khan, Julien Salomon   +2 more
wiley   +1 more source

Generalized Vector Equilibrium-Like Problems without Pseudomonotonicity in Banach Spaces

Journal of Inequalities and Applications, 2007
Let X and Y be real Banach spaces, D a nonempty closed convex subset of X, and C:D→2Y a multifunction such that for each u∈D, C(u) is a proper, closed and convex cone with intC(u)≠∅, where intC(u) denotes the interior of C(u). Given
Lu-Chuan Ceng, Jen-Chih Yao, Sy-Ming Guu   +2 more
doaj   +2 more sources