Variational methods in nonlinear problems
Variational Principles for Monotone and Maximal Bifunctions
2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces. As applications, we give an existence result of saddle point for convex-concave function and solve an approximate inclusion governed by a maximal monotone operator.
Variational sum of monotone operators.
Variational theory of set-valued Hammerstein operators in Banach function spaces. The eigenvalue problem
Vector-valued fuzzy multifunctions.
Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces
Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces.
Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings
The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [1], Liu and Kang [5], Osilike and Aniagbosor [7], Rhoades [8] and Schu [9], [10] and others. An example is included to demonstrate that our results are sharp....
Weakly continuous operators. Applications to differential equations
The paper is a supplement to a survey by J. Franců: Monotone operators, A survey directed to differential equations, Aplikace Matematiky, 35(1990), 257–301. An abstract existence theorem for the equation with a coercive weakly continuous operator is proved. The application to boundary value problems for differential equations is illustrated on two examples. Although this generalization of monotone operator theory is not as general as the M-condition, it is sufficient for many technical applications....
Wiener--Hopf equations technique for general variational inequalities involving relaxed monotone mappings and nonexpansive mappings.
Zero theorems of accretive operators.
Zeros of Accretive Operators.
-fuzzy fixed points for -fuzzy monotone multifunctions.
Итерационный метод штрафа для вариационных неравенств с сильно монотонными операторами.
Метод монотонности и приближенное вычисление значения нелинейного неограниченного оператора.
Нелинейные уравнения типа Гаммерштейна с потенциальными и монотонными операторами в банаховых пространствах
Нетривиальные решения уравнений с потенциальными операторами
О неподвижных точках разрывных операторов.
О разрешимости задачи Дирихле для одного класса вырождающихся квазилинейных уравнений эллиптического типа
О разрешимости первой краевой задачи для квазилинейных эллиптических уравнений высокого порядка, вырождающихся по независимым переменным