Common fixed point and solution of nonlinear functional equations

Abdul Rahim Khan

doi:10.1186/1687-1812-2013-290

Common fixed point and solution of nonlinear functional equations

Abdul Rahim Khan^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Convergence of a new iterative scheme, containing Mann and Ishikawa iterative schemes, for asymptotically nonexpansive mappings on a 2-uniformly convex hyperbolic space is studied. As application, we find a solution of a system of certain nonlinear functional equations in uniformly convex Banach spaces.

Original language	English
Article number	290
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2013
DOIs	https://doi.org/10.1186/1687-1812-2013-290
State	Published - Nov 2013

Keywords

Asymptotically nonexpansive mapping
Common fixed point
Convergence
Uniformly convex hyperbolic space

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/1687-1812-2013-290

Cite this

@article{d438fa497b5c40fa9eddb6e4f7e9ba8d,

title = "Common fixed point and solution of nonlinear functional equations",

abstract = "Convergence of a new iterative scheme, containing Mann and Ishikawa iterative schemes, for asymptotically nonexpansive mappings on a 2-uniformly convex hyperbolic space is studied. As application, we find a solution of a system of certain nonlinear functional equations in uniformly convex Banach spaces.",

keywords = "Asymptotically nonexpansive mapping, Common fixed point, Convergence, Uniformly convex hyperbolic space",

author = "Khan, \{Abdul Rahim\}",

year = "2013",

month = nov,

doi = "10.1186/1687-1812-2013-290",

language = "English",

volume = "2013",

journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

issn = "1687-1820",

publisher = "SpringerOpen",

}

TY - JOUR

T1 - Common fixed point and solution of nonlinear functional equations

AU - Khan, Abdul Rahim

PY - 2013/11

Y1 - 2013/11

N2 - Convergence of a new iterative scheme, containing Mann and Ishikawa iterative schemes, for asymptotically nonexpansive mappings on a 2-uniformly convex hyperbolic space is studied. As application, we find a solution of a system of certain nonlinear functional equations in uniformly convex Banach spaces.

AB - Convergence of a new iterative scheme, containing Mann and Ishikawa iterative schemes, for asymptotically nonexpansive mappings on a 2-uniformly convex hyperbolic space is studied. As application, we find a solution of a system of certain nonlinear functional equations in uniformly convex Banach spaces.

KW - Asymptotically nonexpansive mapping

KW - Common fixed point

KW - Convergence

KW - Uniformly convex hyperbolic space

UR - https://www.scopus.com/pages/publications/84899866315

U2 - 10.1186/1687-1812-2013-290

DO - 10.1186/1687-1812-2013-290

M3 - Article

AN - SCOPUS:84899866315

SN - 1687-1820

VL - 2013

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

M1 - 290

ER -

Common fixed point and solution of nonlinear functional equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this