Results 41 to 50 of about 179 (67)

Constructed nets with perturbations for equilibrium and fixed point problems

, 2014
In this paper, an implicit net with perturbations for solving the mixed equilibrium problems and fixed point problems has been constructed and it is shown that the proposed net converges strongly to a common solution of the mixed equilibrium problems and
Yonghong Yao, Y. Cho, Y. Liou, R. Agarwal   +3 more
semanticscholar   +1 more source

Existence results for non-coercive problems

Advances 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, Galewski Marek, Šmarda Zdenĕk   +2 more
doaj   +1 more source

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

, 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

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

, 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, Lihua Li, Lijun Cao, Xiujuan He, Xiaoyun Yue   +4 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

Application of p-regularity theory to nonlinear boundary value problems

, 2013
The paper studies the question of solution existence to a nonlinear equation in the degenerate case. This question is studied for three particular boundary value problems for ordinary and partial second-order differential equations.
Wiesław Grzegorczyk, B. Medak, A. Tret’yakov   +2 more
semanticscholar   +1 more source

An iterative approach to mixed equilibrium problems and fixed points problems

, 2013
In the present paper, an iterative algorithm for solving mixed equilibrium problems and fixed points problems has been constructed. It is shown that under some mild conditions, the sequence generated by the presented algorithm converges strongly to the ...
Yonghong Yao, Y. Liou, S. Kang
semanticscholar   +1 more source

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

Bound Value Probl, 2023
Makhlouf AB, El-Hady ES, Arfaoui H, Boulaaras S, Mchiri L.   +4 more
europepmc   +1 more source

Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications

, 2012
The purpose of this article is first to introduce the concept of total quasi-ϕ-asymptotically nonexpansive mapping which contains many kinds of mappings as its special cases, and then by using the hybrid algorithm to introduce a new iterative scheme for ...
Xiongrui Wang, Shih-sen Chang, Lin Wang, Yong-kun Tang, Yu Guang Xu   +4 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