Existence of zeros via disconnectedness.
Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps.
Existence results for a class of semi-linear evolution equations.
Existence results for classes of -Laplacian semipositone equations.
Existence results for general inequality problems with constraints.
Existence results for nonlocal and nonsmooth hemivariational inequalities.
Existence results for system of variational inequality problems with semimonotone operators.
Existence theorem for a generalized Hammerstein type equation
Existence Theorems for a Class of Non-linear Integral Equations.
Existence theorems for a variant of Hammerstein's integral equation
Existence theorems for nonlinear operator equation and some properties of the set of its solutions
Existence theorems for operator equations and nonlinear elliptic boundary-value problems
Existence theorems for the system ... in locally convex spaces.
Existence Theorems For The System {x=H(x, y) y=K(x, y)} In Locally Convex Spaces
Existence theorems of solutions for a system of nonlinear inclusions with an application.
Expanding the applicability of two-point Newton-like methods under generalized conditions
We use a two-point Newton-like method to approximate a locally unique solution of a nonlinear equation containing a non-differentiable term in a Banach space setting. Using more precise majorizing sequences than in earlier studies, we present a tighter semi-local and local convergence analysis and weaker convergence criteria. This way we expand the applicability of these methods. Numerical examples are provided where the old convergence criteria do not hold but the new convergence criteria are satisfied....
Extending the applicability of Newton's method using nondiscrete induction
We extend the applicability of Newton's method for approximating a solution of a nonlinear operator equation in a Banach space setting using nondiscrete mathematical induction concept introduced by Potra and Pták. We obtain new sufficient convergence conditions for Newton's method using Lipschitz and center-Lipschitz conditions instead of only the Lipschitz condition used in F. A. Potra, V. Pták, Sharp error bounds for Newton's process, Numer. Math., 34 (1980), 63–72, and F. A. Potra, V. Pták, Nondiscrete...
Extensions of some Fixed Point Theorems of Rhoades, Ćirić, Maiti and Pal
External approximation of bifurcation problems