Results 61 to 70 of about 284 (91)

Continuous selections of solution sets to Volterra integral inclusions in Banach spaces [PDF]

, 2006
We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Aizicovici, S., Staicu, Vasile
core   +1 more source

Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties [PDF]

, 2013
We introduce one-sided Lipschitz (OSL) conditions of setvalued maps with respect to given set differences. The existence of selections of such maps that pass through any point of their graphs and inherit uniformly their OSL constants is studied.
Baier, Robert, Farkhi, Elza
core   +1 more source

Best proximity points for generalized multivalued contractions in metric spaces

, 2015
In the present paper, we prove a best proximity point theorem for multivalued nonself-contractive type mappings which is a generalization of recent best proximity point theorems and some famous fixed point theorems.
E. Nazari
semanticscholar   +1 more source

On the Ishikawa iterative approximation with mixed errors for solutions to variational inclusions with accretive type mappings in Banach spaces [PDF]

, 2003
Using the new analysis techniques, the existence and iterative approximation problem of a solution for a class of nonlinear variational inclusions with accretive type mappings are discussed in arbitrary Banach spaces.
G. Feng
core  

Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping

, 2014
Variational inequality problems over fixed point sets of nonexpansive mappings include many practical problems in engineering and applied mathematics, and a number of iterative methods have been presented to solve them.
Shigeru Iemoto, Kazuhiro Hishinuma, Hideaki Iiduka   +2 more
semanticscholar   +1 more source

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +1 more source

Perturbed Ishikawa-hybrid quasi-proximal point algorithm with accretive mappings for a fuzzy system

, 2013
A new class of fuzzy general nonlinear set-valued mixed quasi-variational inclusions frameworks for a perturbed Ishikawa-hybrid quasi-proximal point algorithm using the notion of (A,η)-accretive is developed.
Hong Gang Li, D. Qiu, Ji Ming Zheng, Mao-Ming Jin   +3 more
semanticscholar   +1 more source

The hybrid steepest descent method for solutions of equilibrium problems and other problems in fixed point theory

, 2014
In this paper, we combine the gradient projection algorithm and the hybrid steepest descent method and prove the strong convergence to a common element of the equilibrium problem; the null space of an inverse strongly monotone operator; the set of fixed ...
Micha O Osilike, E. Ofoedu, F. U. Attah
semanticscholar   +1 more source

Fixed point property and approximation of a class of nonexpansive mappings

, 2014
We introduce the concept of ψ-firmly nonexpansive mapping, which includes a firmly nonexpansive mapping as a special case in a uniformly convex Banach space.
Yisheng Song, Ying Huang
semanticscholar   +1 more source

Degenerate parabolic equation with zero flux boundary condition and its approximations

, 2013
We study a degenerate parabolic-hyperbolic equation with zero flux boundary condition. The aim of this paper is to prove convergence of numerical approximate solutions towards the unique entropy solution.
Gazibo, Mohamed Karimou
core   +1 more source