Fixed Point Theory and Applications
[SJR: 1.189] [H-I: 42] [1 followers] Follow
Open Access journal
ISSN (Print) 1687-1820 - ISSN (Online) 1687-1812
Published by SpringerOpen [188 journals]
- Fixed set of set valued mappings with set valued domain in terms of start
set on a metric space with a graph
Authors: Pradip Debnath; Binayak S Choudhury Murchana Neog
Abstract: In this article, we define the new concept of a fixed set for a set valued map with set valued domain in the setting of metric space endowed with a directed graph. This notion of fixed set is analogous to the ...
- Generalized α-nonexpansive mappings in Banach spaces
Authors: Rahul Shukla; Rajendra Pant Manuel De la Sen
Abstract: We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order ⪯. This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type...
- Pseudo-metric space and fixed point theorem
Authors: Samih Lazaiz; Karim Chaira, Mohamed Aamri El Miloudi Marhrani
Abstract: The aim of this paper is to give a generalized version of Caristi fixed point theorems in pseudo-metric spaces. Our results generalize and improve many of well-known theorems. As an application of our results,...
- Common coupled fixed point results for operators without mixed monotone
type properties and application to nonlinear integral equations
Authors: Nabil Machrafi
Abstract: We establish some new common coupled fixed point theorems for a pair of operators not assumed to satisfy mixed monotone type properties in the ordered Banach space setting. For that purpose, the notions of wea...
- Some extensions of the Meir-Keeler theorem
Authors: Lech Pasicki
Abstract: Meir and Keeler formulated their fixed point theorem for contractive mappings with purely metric condition. This idea was extended by numerous mathematicians. In this paper, we present a simple method of provi...