Results 71 to 80 of about 2,131 (145)

On the topology and wt-distance on metric type spaces

, 2014
Recently, Khamsi and Hussain (Nonlinear Anal. 73:3123-3129, 2010) discussed a natural topology defined on any metric type space and noted that this topology enjoys most of the metric topology like properties.
N. Hussain, R. Saadati, Ravi P. Agrawal
semanticscholar   +1 more source

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

Fixed Point Theory and Applications, 2011
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol, Suantai Suthep, Cholamjiak Prasit   +2 more
doaj  

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

, 2011
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established
J. Kim
semanticscholar   +1 more source

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  

Fixed point theorems for contraction mappings in modular metric spaces

, 2011
In this article, we study and prove the new existence theorems of fixed points for contraction mappings in modular metric spaces.AMS: 47H09; 47H10.
C. Mongkolkeha, W. Sintunavarat, Poom Kumam   +2 more
semanticscholar   +1 more source

Best proximity points for Geraghty’s proximal contraction mappings

, 2013
In this paper, we generalized the notion of proximal contractions of the first and second kinds by using Geraghty’s theorem and establish best proximity point theorems for proximal contractions.
C. Mongkolkeha, Y. Cho, Poom Kumam
semanticscholar   +1 more source

Some new fixed point theorems of α-partially nonexpansive mappings

Demonstratio Mathematica
In this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
doaj   +1 more source

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

On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space

, 2013
In this paper, we give strong convergence theorems for the modified S-iteration process of asymptotically quasi-nonexpansive mappings on a CAT(0) space which extend and improve many results in the literature.MSC: Primary 47H09; secondary 47H10.
A. Şahin, M. Basarir
semanticscholar   +1 more source

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