In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject.
Ranjbar Sajad
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Comments on the cosmic convergence of nonexpansive maps. [PDF]
Gutiérrez AW, Karlsson A.
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Cyclic pairs and common best proximity points in uniformly convex Banach spaces
In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa+3 more
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Convergence and stability of generalized φ-weak contraction mapping in CAT(0) spaces
The aim of this paper is to prove some fixed point results for generalized φ-weak contraction mapping and study a new concept of stability which is called comparably almost T-stable by using iterative schemes in CAT(0) spaces.
Kim Kyung Soo
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On generic convergence of successive approximations of mappings with convex and compact point images. [PDF]
Bargetz C, Medjic E, Pirk K.
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On bivariate fractal interpolation for countable data and associated nonlinear fractal operator
Fractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar+2 more
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On a generalized Krasnoselskii fixed point theorem
This study concerns a Krasnoselskii-type fixed point theorem for the sum of two operators A,BA,B in a Banach space EE, where BB is a Reich-type contractive mapping and AA is a k-set contractive mapping.
Pham Hien Van
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Stability data dependency and errors estimation for a general iteration method
In this paper, we present a result of stability, data Dependency and errors estimation for D Iteration Method. We also prove that errors in D iterative process is controllable. Especially stability, data dependence, controllability, error accumulation of
Aftab Hussain+2 more
doaj
The fixed point theorems of 1-set-contractive operators in Banach space
In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) function and theories of topological degree. Our results and methods are different from
Wang Shuang
doaj
The regularized CQ algorithm without a priori knowledge of operator norm for solving the split feasibility problem. [PDF]
Tian M, Zhang HF.
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