Results 31 to 40 of about 511 (79)

Existence of a common solution for a system of nonlinear integral equations via fixed point methods in b-metric spaces

Open Mathematics, 2016
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai, Sintunavarat Wutiphol, Je Cho Yeol   +2 more
doaj   +1 more source

Approximating fixed points of nearly asymptotically nonexpansive mappings in CAT(k) spaces

Arab Journal of Mathematical Sciences, 2018
In this paper we approximate common fixed points of nearly asymptotically nonexpansive mappings under modified S P-iteration process in the setting of CAT(k) spaces and establish strong and Δ-convergence theorems.
Anupam Sharma
doaj  

Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
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
doaj   +1 more source

Fixed point theorems in $G$-metric space [PDF]

arXiv, 2017
In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.
arxiv  

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

Fixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

Cyclic pairs and common best proximity points in uniformly convex Banach spaces

Open Mathematics, 2017
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, Julia Mary P., Eldred Eldred A.Anthony, Olela Otafudu Olivier   +3 more
doaj   +1 more source

Corrigendum to the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings”

Demonstratio Mathematica, 2021
The purpose of this short note is to present a correction of the proof of the main result given in the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings,” Demonstr.
Gabeleh Moosa
doaj   +1 more source

The Amemiya-Ando conjecture falls [PDF]

arXiv, 2012
In any infinite dimensional Hilbert space H, a sequence P_n...P_1 x diverges in norm for some x \in H and orthogonal projections P_n \in {Q_1,..., Q_5}.
arxiv  

A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study

Demonstratio Mathematica
This manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces.
Ahmad Fayyaz, Ullah Kifayat, Ahmad Junaid, Hammad Hasanen A., George Reny   +4 more
doaj   +1 more source

Convergence and stability of generalized φ-weak contraction mapping in CAT(0) spaces

Open Mathematics, 2017
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
doaj   +1 more source