In this paper, we use a two-step iterative process for two finite families of nonexpansive mappin... more In this paper, we use a two-step iterative process for two finite families of nonexpansive mappings in a hyperbolic space defined by Kohlenbach. Strong and Δ-convergence theorems are established for this two-step iterative process being used for the first time in a hyperbolic spaces
A solution of nonlinear -strongly accretive operator equations is found in this paper by using a ... more A solution of nonlinear -strongly accretive operator equations is found in this paper by using a one-step-two-mappings iterative scheme in arbitrary real Banach spaces. We give an example to validate our main theorem. Our results are different from those of Khan et. al., [S. H. Khan, A. Rafiq, N. Hussain, Fixed Point Theory Appl., 2012 (2012), 10 pages] in view of different and independent iterative schemes in the sense that none reduces to the other but extend and improve the results of Ding [X. P. Ding, Computers Math. Appl., 33 (1997), 75{82] and many others.
We provide an iterative process which converges strongly to a common fixed point of finite family... more We provide an iterative process which converges strongly to a common fixed point of finite family of asymptoticallyk-strict pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
We provide an iterative process which converges strongly to a common fixed point of finite family... more We provide an iterative process which converges strongly to a common fixed point of finite family of asymptoticallyk-strict pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a h... more In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a hemicontractive mapping and a quasi-nonexpansive mapping. We approximate the common fixed points of the two mappings by strong convergence of the algorithm in a Hilbert space. AMS Subject Classification: primary 05C38; 15A15; secondary 05A15; 15A18.
We introduce an iteration scheme for approximating common fixed points of two mappings. On one ha... more We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al.
In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic... more In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic spaces. This extends the single-valued iteration process due to Agarwal et al. (J. Nonlinear Convex Anal. 8(1):61-79, 2007). Using this new algorithm, we approximate common fixed points of two multivalued mappings through -convergence and strong convergence under some weaker conditions. A necessary and sufficient condition is given for strong convergence. MSC: Primary 47A06; 47H09; 47H10; secondary 49M05
In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a h... more In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a hemicontractive mapping and a quasi-nonexpansive mapping. We approximate the common fixed points of the two mappings by strong convergence of the algorithm in a Hilbert space. AMS Subject Classification: primary 05C38; 15A15; secondary 05A15; 15A18.
In this paper, we introduce an iterative process for approximating common fixed points of two fin... more In this paper, we introduce an iterative process for approximating common fixed points of two finite families of nonexpansive mappings in Banach spaces. Our process contains some iterative processes being used for the purpose. We prove some weak and strong convergence theorems for this iterative process. Our results generalize and improve some results in contemporary literature.
Suzuki [19] introduced a class of single valued mappings called Suzuki-generalized nonexpansive m... more Suzuki [19] introduced a class of single valued mappings called Suzuki-generalized nonexpansive mappings, satisfying a condition which is weaker than nonexpansiveness and stronger than quasi-nonexpansiveness. Dhompongsa et al.
The purpose of this paper is to prove a strong convergence theorem for two finite families of uni... more The purpose of this paper is to prove a strong convergence theorem for two finite families of uniformly L-Lipschitzian mappings in Banach spaces. The results presented improve and extend some recent results in Chang [1-3], Cho et al. [4], Ofoedu [5], Schu [6] and Zeng [7, 8].
Hacettepe University Bulletin of Natural Sciences and Engineering Series B Mathematics and Statistics, 2011
In this paper, we use an iteration process for approximating common fixed points of two nonexpans... more In this paper, we use an iteration process for approximating common fixed points of two nonexpansive mappings by △and strong convergence in CAT(0) spaces. This process is independent of and simpler than the Ishikawa type iteration process.
In this paper, we use a two-step iterative process for two finite families of nonexpansive mappin... more In this paper, we use a two-step iterative process for two finite families of nonexpansive mappings in a hyperbolic space defined by Kohlenbach. Strong and Δ-convergence theorems are established for this two-step iterative process being used for the first time in a hyperbolic spaces
A solution of nonlinear -strongly accretive operator equations is found in this paper by using a ... more A solution of nonlinear -strongly accretive operator equations is found in this paper by using a one-step-two-mappings iterative scheme in arbitrary real Banach spaces. We give an example to validate our main theorem. Our results are different from those of Khan et. al., [S. H. Khan, A. Rafiq, N. Hussain, Fixed Point Theory Appl., 2012 (2012), 10 pages] in view of different and independent iterative schemes in the sense that none reduces to the other but extend and improve the results of Ding [X. P. Ding, Computers Math. Appl., 33 (1997), 75{82] and many others.
We provide an iterative process which converges strongly to a common fixed point of finite family... more We provide an iterative process which converges strongly to a common fixed point of finite family of asymptoticallyk-strict pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
We provide an iterative process which converges strongly to a common fixed point of finite family... more We provide an iterative process which converges strongly to a common fixed point of finite family of asymptoticallyk-strict pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a h... more In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a hemicontractive mapping and a quasi-nonexpansive mapping. We approximate the common fixed points of the two mappings by strong convergence of the algorithm in a Hilbert space. AMS Subject Classification: primary 05C38; 15A15; secondary 05A15; 15A18.
We introduce an iteration scheme for approximating common fixed points of two mappings. On one ha... more We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al.
In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic... more In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic spaces. This extends the single-valued iteration process due to Agarwal et al. (J. Nonlinear Convex Anal. 8(1):61-79, 2007). Using this new algorithm, we approximate common fixed points of two multivalued mappings through -convergence and strong convergence under some weaker conditions. A necessary and sufficient condition is given for strong convergence. MSC: Primary 47A06; 47H09; 47H10; secondary 49M05
In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a h... more In this paper, we are concerned with the study of an implicit iterative algorithm involv- ing a hemicontractive mapping and a quasi-nonexpansive mapping. We approximate the common fixed points of the two mappings by strong convergence of the algorithm in a Hilbert space. AMS Subject Classification: primary 05C38; 15A15; secondary 05A15; 15A18.
In this paper, we introduce an iterative process for approximating common fixed points of two fin... more In this paper, we introduce an iterative process for approximating common fixed points of two finite families of nonexpansive mappings in Banach spaces. Our process contains some iterative processes being used for the purpose. We prove some weak and strong convergence theorems for this iterative process. Our results generalize and improve some results in contemporary literature.
Suzuki [19] introduced a class of single valued mappings called Suzuki-generalized nonexpansive m... more Suzuki [19] introduced a class of single valued mappings called Suzuki-generalized nonexpansive mappings, satisfying a condition which is weaker than nonexpansiveness and stronger than quasi-nonexpansiveness. Dhompongsa et al.
The purpose of this paper is to prove a strong convergence theorem for two finite families of uni... more The purpose of this paper is to prove a strong convergence theorem for two finite families of uniformly L-Lipschitzian mappings in Banach spaces. The results presented improve and extend some recent results in Chang [1-3], Cho et al. [4], Ofoedu [5], Schu [6] and Zeng [7, 8].
Hacettepe University Bulletin of Natural Sciences and Engineering Series B Mathematics and Statistics, 2011
In this paper, we use an iteration process for approximating common fixed points of two nonexpans... more In this paper, we use an iteration process for approximating common fixed points of two nonexpansive mappings by △and strong convergence in CAT(0) spaces. This process is independent of and simpler than the Ishikawa type iteration process.
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Papers by Safeer H Khan