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We prove a fixed point theorem for generalized asymptotic pointwise nonexpansive mapping in the setting of a hyperbolic space. A one-step iterative scheme approximating common fixed point of two generalized asymptotic pointwise (quasi-) nonexpansive mappings in this setting is provided. We obtain $\triangle -$convergence and strong convergence theorems of the iterative scheme for two generalized asymptotic pointwise nonexpansive mappings in the same setting. Our results generalize and extend some related results in the literature.
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참고문헌 (14)
참고문헌 신청
Chidume, C / 2003 / Strong and weak convergence theorems for asymptotically nonexpansive mappings / J. Math. Anal. Appl 280:364~374
Fukhar-ud-din, H. / 2014 / Existence and approximation of fixed points in convex metric spaces / Carpathian J. Math 30:175~185
Fukhar-ud-din, H. / 2016 / Fixed point iterations in hyperbolic spaces / J Nonlinear Convex Anal
Fukhar-ud-din, H. / 2015 / One step iteratiove scheme for a pair of nonexpansive mappings in a convex metric space / Hacet. J. Math. Stat 44(5):1023~1031
Fukhar-ud-din, H. / 2015 / Viscosity Iterative Method for a Finite Family of Generalized Asymptotically Quasi-nonexpansive Mappings in Convex Metric Spaces / J. Nonlinear Convex Anal 16:47~58
Fukhar-ud-din, H. / 2014 / Existence and approximation of fixed points in convex metric spaces / Carpathian J. Math 30:175~185
Fukhar-ud-din, H. / 2016 / Fixed point iterations in hyperbolic spaces / J Nonlinear Convex Anal
Fukhar-ud-din, H. / 2015 / One step iteratiove scheme for a pair of nonexpansive mappings in a convex metric space / Hacet. J. Math. Stat 44(5):1023~1031
Fukhar-ud-din, H. / 2015 / Viscosity Iterative Method for a Finite Family of Generalized Asymptotically Quasi-nonexpansive Mappings in Convex Metric Spaces / J. Nonlinear Convex Anal 16:47~58
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