Name
Abstract | ||
|---|---|---|
The purpose of this paper is to study the existence and uniqueness of fixed point for a class of nonlinear mappings defined on a real Banach space, which, among others, contains the class of separate contractive mappings, as well as to see that an important class of 1-set contractions and of pseudocontractions falls into this type of nonlinear mappings. As a particular case, we give an iterative method to approach the fixed point of a nonexpansive mapping. Later on, we establish some fixed point results of Krasnoselskii type for the sum of two nonlinear mappings where one of them is either a 1-set contraction or a pseudocontraction and the another one is completely continuous, which extend or complete previous results. In the last section, we apply such results to study the existence of solutions to a nonlinear integral equation. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2012.12.079 | Applied Mathematics and Computation |
Keywords | Field | DocType |
1-set contraction,important class,krasnoselskii type,1-set contractive,iterative method,nonlinear mapping,fixed point,nonlinear integral equation,complete previous result,last section,fixed point result,pseudocontractive mapping,fixed point theory,fixed points | Uniqueness,Discrete mathematics,Nonlinear system,Mathematical analysis,Iterative method,Coincidence point,Fixed-point property,Banach space,Fixed point,Mathematics,Fixed-point theorem | Journal |
Volume | Issue | ISSN |
219 | 12 | 0096-3003 |
Citations | PageRank | References |
1 | 0.54 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. Garcia-Falset | 1 | 1 | 0.54 |
| O. Muñiz-Pérez | 2 | 1 | 0.54 |