Results 61 to 70 of about 281 (90)

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

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

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, K. Hishinuma, H. Iiduka
semanticscholar   +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

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

A result on segmenting Jungck–Mann iterates [PDF]

, 2008
summary:In this paper, following the concepts in [5, 7], we shall establish a convergence result in a uniformly convex Banach space using the Jungck–Mann iteration process introduced by Singh et al [13] and a certain general contractive condition.
Olatinwo, Memudu Olaposi
core  

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

Strong convergence theorem for accretive mapping in Banach spaces [PDF]

, 2010
Suppose K is a closed convex subset of a real reflexive Banach space E which has a uniformly Gâteaux differentiable norm and every nonempty closed convex bounded subset of E has the fixed point property for nonexpansive mappings.
Zhenhua He
core   +1 more source