Prof Yeol Je Cho, Prof Nan-jing Huang, Prof Jong Kyu Kim, Prof George Yuan
Research
The purpose of this paper is to propose an algorithm to solve the split common fixed point problems for total asymptotically strict pseudocontraction mappings in Hilbert spaces. Without the assumption of semi-...
Journal of Inequalities and Applications 2015 2015:40
Published on: 3 February 2015
Research
In this paper, we define the weak P-property and the α-ψ-proximal contraction by p in which p is a τ-distance on a metric space. Then, we prove some best proximity point theorems in a complete metric space X with...
Journal of Inequalities and Applications 2015 2015:27
Published on: 27 January 2015
Research
In this paper, we introduce a general iterative method for a split variational inclusion and nonexpansive semigroups in Hilbert spaces. We also prove that the sequences generated by the proposed algorithm conv...
Journal of Inequalities and Applications 2015 2015:24
Published on: 23 January 2015
Research
In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces. Theiterative algorithm presented in this paper is sh...
Journal of Inequalities and Applications 2015 2015:1
Published on: 7 January 2015
Research
We consider ϵ-solutions (approximate solutions) for a fractional optimization problem in the face of data uncertainty. Using robust optimization approach (worst-case approach), we establish optimality theorems an...
Journal of Inequalities and Applications 2014 2014:501
Published on: 16 December 2014
Research
We first establish a new fixed point theorem for nonautonomous type superposition operators. After that, we prove the existence of integrable solutions for a general nonlinear functional integral equation in an
Journal of Inequalities and Applications 2014 2014:487
Published on: 8 December 2014
Research
In this paper, we introduce a proximal point iterative algorithm with general errors for monotone mappings in Banach spaces. We prove that the proposed algorithm converges strongly to a proximal point for mono...
Journal of Inequalities and Applications 2014 2014:484
Published on: 7 December 2014
Research
m-d-Accretive mappings, which are totally different from m-accretive mappings in non-Hilbertian Banach spaces, belong to another type of nonlinear mappings with practical backgrounds. The purpose of this paper is...
Journal of Inequalities and Applications 2014 2014:482
Published on: 4 December 2014
Research
Journal of Inequalities and Applications 2014 2014:483
Published on: 4 December 2014
Research
Journal of Inequalities and Applications 2014 2014:464
Published on: 26 November 2014
Research
Journal of Inequalities and Applications 2014 2014:461
Published on: 21 November 2014
Research
In this paper, we introduce a new notion to generalize a Mizoguchi-Takahashi type contraction. Then, using this notion, we obtain a fixed point theorem for multivalued maps. Our results generalize some results...
Journal of Inequalities and Applications 2014 2014:458
Published on: 19 November 2014
Research
In this paper, we prove the existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for pseudo-monotone type II operators defined on compact sets in locally co...
Journal of Inequalities and Applications 2014 2014:449
Published on: 5 November 2014
Research
In the present paper, we propose several kinds of adaptively relaxed iterative algorithms with a new step size for solving the split feasibility problem in real Hilbert spaces. The proposed algorithms never te...
Journal of Inequalities and Applications 2014 2014:448
Published on: 5 November 2014
Research
In this paper, we study an operator version of the modified Browder-Tikhonov regularization method for finding a common solution for a system of ill-posed operator equations involving m-accretive operators
Journal of Inequalities and Applications 2014 2014:440
Published on: 3 November 2014
Research
The purpose of this paper is to introduce the concepts of total asymptotically demicontractive mappings and total asymptotically hemicontractive mappings. Under suitable conditions some strong convergence theorem...
Journal of Inequalities and Applications 2014 2014:436
Published on: 31 October 2014
Research
We introduce and study a new general split feasibility problem (GSFP) in a Hilbert space. This problem generalizes the split feasibility problem (SFP). The GSFP extends the SFP with a nonlinear continuous oper...
Journal of Inequalities and Applications 2014 2014:435
Published on: 31 October 2014
Research
In this paper, by using a nonlinear scalarization technique, we obtain sufficient conditions for Hölder continuity of the solution mapping for a parametric generalized vector quasi-equilibrium problem with set...
Journal of Inequalities and Applications 2014 2014:425
Published on: 24 October 2014
Research
In this work, we introduce the class of α-ψ-Geraghty contraction as well as generalized α-ψ-Geraghty contraction mappings in the context of generalized metric spaces where ψ is an auxiliary function which does no...
Journal of Inequalities and Applications 2014 2014:423
Published on: 22 October 2014
Research
In this paper, we extend the concept of contraction mappings in b-metric spaces and utilize this concept to prove the existence and uniqueness of fixed point theorems for such mappings in such a space. We also pr...
Journal of Inequalities and Applications 2014 2014:418
Published on: 21 October 2014
Research
In this paper, a two-steps modifying Halpern iteration for Bregman strongly nonexpansive multi-valued mappings in the framework of reflexive Banach spaces is established. Under suitable limit conditions, some ...
Journal of Inequalities and Applications 2014 2014:412
Published on: 16 October 2014
Research
In this paper, we introduce the concept of a second-order composed contingent epiderivative for set-valued maps and discuss some of its properties. Then, by virtue of the second-order composed contingent epide...
Journal of Inequalities and Applications 2014 2014:406
Published on: 16 October 2014
Research
Journal of Inequalities and Applications 2014 2014:407
Published on: 16 October 2014
Research
In this paper, we consider the variational inequality problem over the generalized mixed equilibrium problem which has a hierarchical structure. Strong convergence of the algorithm to the unique solution is gu...
Journal of Inequalities and Applications 2014 2014:405
Published on: 16 October 2014
Research
Four common fixed point theorems for a pair of weakly compatible mappings satisfying contractive conditions of integral type in metric spaces are proved. The existence result of bounded solutions for a system ...
Journal of Inequalities and Applications 2014 2014:394
Published on: 16 October 2014
Research
In this paper, by using Rodé’s method, we extend Yosida’s theorem to semigroups of linear operators in multi-Banach spaces.
Journal of Inequalities and Applications 2014 2014:402
Published on: 16 October 2014
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Journal of Inequalities and Applications 2014 2014:395
Published on: 16 October 2014
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Journal of Inequalities and Applications 2014 2014:411
Published on: 16 October 2014
Research
In this paper, we introduce the concept of the rank game and propose a mathematical model for it. By a discrete fixed point theorem, we give the existence results of rank equilibria.
Journal of Inequalities and Applications 2014 2014:416
Published on: 16 October 2014
Research
Journal of Inequalities and Applications 2014 2014:393
Published on: 15 October 2014
Research
In this paper, we propose a logarithmic-quadratic proximal alternating direction method for structured variational inequalities. The predictor is obtained by solving series of related systems of nonlinear equa...
Journal of Inequalities and Applications 2014 2014:392
Published on: 13 October 2014
Research
The purpose of this paper is to find the fixed points of pseudocontractive mappings by using the iterative technique. Two algorithms with variant anchors have been introduced. Strong convergence results are gi...
Journal of Inequalities and Applications 2014 2014:386
Published on: 9 October 2014
Research
In this paper, we prove some strong and weak convergence theorems for continuous pseudocontractive mapping and a weak convergence theorem for nonexpansive mapping in real uniformly convex Banach spaces. As an ...
Journal of Inequalities and Applications 2014 2014:384
Published on: 3 October 2014
Research
In this paper, we propose a new hybrid iteration for a finite family of asymptotically strictly pseudocontractive mappings. We also prove that such a sequence converges strongly to a common fixed point of a fi...
Journal of Inequalities and Applications 2014 2014:374
Published on: 29 September 2014
Research
This paper is concerned with a new method to prove the weak convergence of a strictly pseudo-contractive mapping in a p-uniformly convex Banach space with more relaxed restrictions on the parameters. Our results ...
Journal of Inequalities and Applications 2014 2014:377
Published on: 29 September 2014
Research
Journal of Inequalities and Applications 2014 2014:368
Published on: 25 September 2014
Research
Journal of Inequalities and Applications 2014 2014:362
Published on: 24 September 2014
Research
It is well known that each barrier function defines an interior point algorithm and each barrier function is determined by its univariate kernel function. In this paper we present a new large-update primal-dua...
Journal of Inequalities and Applications 2014 2014:363
Published on: 24 September 2014
Research
Journal of Inequalities and Applications 2014 2014:364
Published on: 24 September 2014
Research
The aim of this paper is to introduce and study certain new concepts of α-ψ-proximal contractions in an intuitionistic fuzzy metric space. Then we establish certain best proximity point theorems for such proximal...
Journal of Inequalities and Applications 2014 2014:352
Published on: 16 September 2014
Research
In this article, we prove a best proximity point theorem for generalized cyclic contractions in convex metric spaces. Then we investigate the structure of minimal sets of cyclic relatively nonexpansive mapping...
Journal of Inequalities and Applications 2014 2014:350
Published on: 11 September 2014
Research
Journal of Inequalities and Applications 2014 2014:349
Published on: 8 September 2014
Research
The aim of this paper is to establish certain new fixed point results for multi-valued as well as single-valued maps satisfying an α-ψ-contractive conditions in complete metric space. As an application, we derive...
Journal of Inequalities and Applications 2014 2014:348
Published on: 4 September 2014
Research
In this paper some new fixed point theorems for nonlinear contractive type and nonlinear compatible type mapping in complete Menger probabilistic metric spaces are proved.
Journal of Inequalities and Applications 2014 2014:347
Published on: 4 September 2014
Research
Considering α-admissible mappings in the setup of partial b-metric spaces, we establish some fixed and common fixed point results for ordered cyclic weakly
...
Journal of Inequalities and Applications 2014 2014:345
Published on: 3 September 2014
Research
In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient optimality conditions for efficiency and proper efficiency in the con...
Journal of Inequalities and Applications 2014 2014:333
Published on: 2 September 2014
Research
In this article, we obtain the demiclosed principle, fixed point theorems and convergence theorems for the class of total asymptotically nonexpansive mappings on
...
Journal of Inequalities and Applications 2014 2014:336
Published on: 2 September 2014
Research
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 s...
Journal of Inequalities and Applications 2014 2014:334
Published on: 2 September 2014
Research
By using a density technique, sufficient conditions for lower semicontinuity of strong solutions to a parametric generalized vector equilibrium problem are established, where the monotonicity is not necessary....
Journal of Inequalities and Applications 2014 2014:325
Published on: 26 August 2014
Research
We introduce the concept of Levitin-Polyak well-posedness for a system of generalized quasi-variational inclusion problems and show some characterizations of Levitin-Polyak well-posedness for the system of gen...
Journal of Inequalities and Applications 2014 2014:321
Published on: 22 August 2014
