Results 51 to 60 of about 577 (170)

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

Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds

Journal of Applied Mathematics, 2012
We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold. It is shown that the convergence of this proximal point method needs only pseudomonotonicity,
Muhammad Aslam Noor, Khalida Inayat Noor
doaj   +1 more source

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators. The maximality of the sum of two maximal monotone operators has been an open problem for many years.
Teffera M. Asfaw, Lucas Jodar
wiley   +1 more source

Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem [PDF]

Advances in Nonlinear Analysis, 2019
Abstract The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Olivier Guibé, Abdellah Mokrane, Yassine Tahraoui, Guy Vallet   +3 more
openaire   +5 more sources

Generalized Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems

Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015
We introduce and study well‐posedness in connection with the symmetric vector quasi‐equilibrium problem, which unifies its Hadamard and Levitin‐Polyak well‐posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well‐posedness for the symmetric vector quasi‐equilibrium problem.
Wei-bing Zhang, Nan-jing Huang, Donal O’Regan, Wei-Shih Du   +3 more
wiley   +1 more source

Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
wiley   +1 more source

A new extragradient algorithm for split equilibrium problems and fixed point problems

Journal of Inequalities and Applications, 2019
In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems.
Narin Petrot, Mohsen Rabbani, Manatchanok Khonchaliew, Vahid Dadashi   +3 more
doaj   +1 more source

Generalized multivalued equilibrium-like problems: auxiliary principle technique and predictor-corrector methods

Journal of Inequalities and Applications, 2016
This paper is dedicated to the introduction a new class of equilibrium problems named generalized multivalued equilibrium-like problems which includes the classes of hemiequilibrium problems, equilibrium-like problems, equilibrium problems ...
Vahid Dadashi, Abdul Latif
doaj   +1 more source