Results 41 to 50 of about 332 (162)

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

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

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

Solving Split Pseudomonotone Equilibrium Problems with Multiple Output Sets: Applications in Machine Learning for Medical Diagnosis

Axioms
We introduce a new class of split inverse problems, termed the Split Pseudomonotone Equilibrium Problem with Multiple Output Sets, which generalizes classical equilibrium formulations to accommodate multiple decision outputs and pseudomonotonicity.
Olaniyi S. Iyiola, Amara R. Eze, Timilehin O. Alakoya, Oluwatosin T. Mewomo, Wisdom Attipoe   +4 more
doaj   +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

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

An inertial‐like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces

Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9637-9668, August 2024.
A survey of the existing results in the literature shows that several of the results on variational inequality problem were established under some stringent conditions and employed some form of linesearch technique even in the framework of Hilbert spaces. However, due to the loop nature of the linesearch technique, the implementation of such algorithms
Oluwatosin T. Mewomo, Timilehin O. Alakoya, Amara Eze, Olaniyi S. Iyiola   +3 more
wiley   +1 more source

A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition
Ekkarath Thailert, Rabian Wangkeeree, Chanoksuda Khantree, Giuseppe Marino   +3 more
wiley   +1 more source

A Predictor‐Corrector Method for Solving Equilibrium Problems

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We suggest and analyze a predictor‐corrector method for solving nonsmooth convex equilibrium problems based on the auxiliary problem principle. In the main algorithm each stage of computation requires two proximal steps. One step serves to predict the next point; the other helps to correct the new prediction.
Zong-Ke Bao, Ming Huang, Xi-Qiang Xia, Adrian Petrusel   +3 more
wiley   +1 more source

Extended Mixed Vector Equilibrium Problems

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We study extended mixed vector equilibrium problems, namely, extended weak mixed vector equilibrium problem and extended strong mixed vector equilibrium problem in Hausdorff topological vector spaces. Using generalized KKM‐Fan theorem (Ben‐El‐Mechaiekh et al.; 2005), some existence results for both problems are proved in noncompact domain.
Mijanur Rahaman, Adem Kılıçman, Rais Ahmad, Jen-Chih Yao   +3 more
wiley   +1 more source