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作者:Safeer Hussain Khan
来源:[J].Fixed Point Theory and Applications(IF 1.866), 2018, Vol.2018 (1), pp.1-10Springer
摘要:Abstract(#br)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), and (iii) to write and use Picard-Mann iterative process for two mappings. We approximate common attract...
作者:Safeer Hussain Khan , Isa Yildirim
来源:[J].Fixed Point Theory and Applications(IF 1.866), 2012, Vol.2012 (1), pp.1-9Springer
摘要:Abstract(#br)In this article, we first give a multivalued version of an iteration scheme of Agarwal et al. We use an idea due to Shahzad and Zegeye which removes a "strong condition" on the mapping involved in the iteration scheme and an observation by Song and Cho about the set ...
作者:Safeer Hussain Khan
来源:[J].Fixed Point Theory and Applications(IF 1.866), 2013, Vol.2013 (1), pp.1-10Springer
摘要:Abstract(#br)We introduce a new iterative process which can be seen as a hybrid of Picard and Mann iterative processes. We show that the new process converges faster than all of Picard, Mann and Ishikawa iterative processes in the sense of Berinde (Iterative Approximation of...
作者:Safeer Hussain Khan , Mujahid Abbas
来源:[J].Fixed Point Theory and Applications(IF 1.866), 2014, Vol.2014 (1), pp.1-9Springer
摘要:Abstract(#br)The existence of fixed points of single-valued mappings in modular function spaces has been studied by many authors. The approximation of fixed points in such spaces via convergence of an iterative process for single-valued mappings has also been attempted very ...
作者:Safeer Hussain Khan , Mujahid Abbas
来源:[J].Fixed Point Theory and Applications(IF 1.866), 2014, Vol.2014 (1), pp.1-11Springer
摘要:Abstract(#br)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 approximat...
作者:Safeer Hussain Khan , Arif Rafiq , Nawab Hussain
来源:[J].Fixed Point Theory and Applications(IF 1.866), 2012, Vol.2012 (1), pp.1-10Springer
摘要:Abstract(#br)In this paper, we study a three-step iterative scheme with error terms for solving nonlinear ϕ -strongly accretive operator equations in arbitrary real Banach spaces.
作者:Mujahid Abbas , Safeer Hussain Khan , Jong Kyu Kim
来源:[J].Journal of Inequalities and Applications(IF 0.822), 2008, Vol.2008 (1), pp.1-10Springer
摘要:Abstract(#br)We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is computationally simpler than the processes currently being us...
作者:Mujahid Abbas , Safeer Hussain Khan , Mihai Postolache
来源:[J].Journal of Inequalities and Applications(IF 0.822), 2014, Vol.2014 (1), pp.1-10Springer
摘要:Abstract(#br)Recently, Karapınar 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 extend...
作者:Safeer Hussain Khan
来源:[J].Abstract and Applied Analysis(IF 1.102), 2014, Vol.2014DOAJ
摘要: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 (l...

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