Results 51 to 60 of about 319 (83)

Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings

open access: yes, 2011
The purpose of this article is to propose and investigate an algorithm for solving the multiple-set split feasibility problems for total asymptotically strict pseu-docontractions mappings in infinite-dimensional Hilbert spaces.
Li Yang, Shih-sen Chang, Y. Cho, J. Kim
semanticscholar   +1 more source

Existence results for non-coercive problems

open access: yesAdvances in Nonlinear Analysis
In this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to ...
Diblík Josef   +2 more
doaj   +1 more source

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

open access: yes, 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

A Note on Brondsted's Fixed Point Theorem

open access: yes, 2023
We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be ...
Zubelevich, Oleg
core  

Hybrid extragradient method for generalized mixed equilibrium problems and fixed point problems in Hilbert space

open access: yes, 2013
In this paper, we introduce iterative schemes based on the extragradient method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of a nonexpansive mapping, and the set of ...
Suhong Li   +4 more
semanticscholar   +1 more source

Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application

open access: yes, 2013
Bregman strongly nonexpansive multi-valued mapping in reflexive Banach spaces is established. Under suitable limit conditions, some strong convergence theorems for modifying Halpern’s iterations are proved.
Yi Li, Hongbo Liu, K. Zheng
semanticscholar   +1 more source

Fixed point property and approximation of a class of nonexpansive mappings

open access: yes, 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

open access: yes, 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

Stability of some generalized fractional differential equations in the sense of Ulam-Hyers-Rassias. [PDF]

open access: yesBound Value Probl, 2023
Makhlouf AB   +4 more
europepmc   +1 more source

Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces

open access: yes, 2012
The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for total quasi-ϕ-asymptotically nonexpansive semigroups to have the strong convergence under a limit condition only in the framework of Banach spaces.
Shih-sen Chang, J. Kim, Lin Wang
semanticscholar   +1 more source

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