Iterative approximation of common attractive points of further generalized hybrid mappings

Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings (ii) to introduce the concept of common attractive points (CAP) (iii) to write and use Picard-Mann iterative process for two mappings. We approximate common attractive points of further generalized hybrid mappings by using iterative process due to Khan SHK generalized to the case of two mappings in Hilbert spaces without closedness assumption. Our results are generalizations and improvements of several results in the literature in different ways.Comment: 12 pages of pdf file created form this tex fil

Approximating fixed point of({\lambda},{\rho})-firmly nonexpansive mappings in modular function spaces

In this paper, we first introduce an iterative process in modular function spaces and then extend the idea of a {\lambda}-firmly nonexpansive mapping from Banach spaces to modular function spaces. We call such mappings as ({\lambda},{\rho})-firmly nonexpansive mappings. We incorporate the two ideas to approximate fixed points of ({\lambda},{\rho})-firmly nonexpansive mappings using the above mentioned iterative process in modular function spaces. We give an example to validate our results

Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain

We use a three-step iterative process to prove some strong and Δ-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain. Three-step iterative processes have numerous applications and hyperbolic spaces contain Banach spaces (linear domains) as well as CAT(0) spaces. Thus our results can be viewed as extension and generalization of several known results in uniformly convex Banach spaces as well as CAT(0) spaces

Approximating Fixed Points by a Two-Step Iterative Algorithm

In this paper, we introduce a two-step iterative algorithm to prove a strong convergence result for approximating common fixed points of three contractive-like operators. Our algorithm basically generalizes an existing algorithm..Our iterative algorithm also contains two famous iterative algorithms: Mann iterative algorithm and Ishikawa iterative algorithm. Thus our result generalizes the corresponding results proved for the above three iterative algorithms to a class of more general operators. At the end, we remark that nothing prevents us to extend our result to the case of the iterative algorithm with error terms

Approximating Fixed Points by a Two-Step Iterative Algorithm

In this paper, we introduce a two-step iterative algorithm to prove a strong convergence result for approximating common fixed points of three contractive-like operators. Our algorithm basically generalizes an existing algorithm..Our iterative algorithm also contains two famous iterative algorithms: Mann iterative algorithm and Ishikawa iterative algorithm. Thus our result generalizes the corresponding results proved for the above three iterative algorithms to a class of more general operators. At the end, we remark that nothing prevents us to extend our result to the case of the iterative algorithm with error terms

Exploring Linguistic Space Occupied by the Teachers and Students of an ESL Classroom in Gilgit-Baltistan, Pakistan: Comparisons Across Gender

Classroom talk plays a key role in language learning especially in English as second language (ESL) classrooms. Therefore, in this study the linguistic space occupied by the teacher and students in an ESL classroom has been investigated. A descriptive and exploratory approach was employed and videotaping was used for data collection during five consecutive classroom lessons. Results revealed that the teacher occupied most of the linguistics space (60%) as compared to the students (40%). The average word count of boys (56%) was comparatively higher than that of girls’ word count (44%). This study reports important insights into the patterns of teachers’ speech acts, students’ speech acts, silent and dominant students, length of students’ turns during classroom talk and comparisons across gender for both policy and practice

Common fixed points of two quasicontractive operators in normed spaces by iteration, Int

Abstract. We prove a theorem to approximate common fixed points of two quasi-contractive operators on a normed space through an iteration process with errors and more general than the Ishikawa iteration process.Our result generalizes and improves upon, among others, the corresponding result of Berinde Mathematics Subject Classification: 47H10, 54H2

Existence and approximation results for SKC mappings in CAT(0) spaces

Recently, Karap?nar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In this paper, we investigate SKC mappings to get a criterion to guarantee a fixed point, via extending the results proved by Karap?nar and Tas into the class of CAT(0) spaces. Further, by using Ishikawa-type iteration scheme for two mappings, we derive approximation fixed point sequence. Our results extend, improve and unify some existing results in this direction, such as (Nonlinear Anal. Hybrid Syst. 4:25-31, 2010) by Nanjaras et al. or (Comput. Math. Appl. 61:109-116, 2011) by Khan and Abbas.Scopu