Results 61 to 70 of about 282 (92)

Convergence and stability of Jungck-type iterative procedures in convex b-metric spaces

, 2013
The purpose of this paper is to investigate some strong convergence as well as stability results of some iterative procedures for a special class of mappings.
A. Razani, M. Bagherboum
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

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

Metrical common fixed point theorems without completeness and closedness

, 2012
In this article, we point out that some recent results proved in Babu and Alemayehu are corollaries of the main result of an article due to Ali and Imdad.
D. Gopal, M. Imdad, M. Abbas
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

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

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

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

Iterative methods for mixed equilibrium problems and strictly pseudocontractive mappings

, 2012
In this paper, we introduce new implicit and explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocontractive non-self mapping in Hilbert spaces.
J. Jung
semanticscholar   +1 more source