Dynamical properties of distal function spaces and fixed point theorems

1985 ◽  
Vol 31 (1) ◽  
pp. 207-218
Author(s):  
R. D. Pandian
2019 ◽  
Vol 101 (2) ◽  
pp. 325-332 ◽  
Author(s):  
WOJCIECH M. KOZLOWSKI

We introduce a notion of modulated topological vector spaces, that generalises, among others, Banach and modular function spaces. As applications, we prove some results which extend Kirk’s and Browder’s fixed point theorems. The theory of modulated topological vector spaces provides a very minimalist framework, where powerful fixed point theorems are valid under a bare minimum of assumptions.


Author(s):  
Jaauad Jeddi ◽  
Mustapha Kabil ◽  
Samih Lazaiz

The purpose of this work is to extend the Knaster–Tarski fixed-point theorem to the wider field of reflexive digraph. We give also a DeMarr-type common fixed-point theorem in this context. We then explore some interesting applications of the obtained results in modular function spaces.


2015 ◽  
Vol 2015 ◽  
pp. 1-1
Author(s):  
Nawab Hussain ◽  
Jesus Garcia-Falset ◽  
Mohamed-Aziz Taoudi ◽  
Calogero Vetro

2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
Jaauad Jeddi ◽  
Mustapha Kabil ◽  
Samih Lazaiz

The aim of this paper is to give fixed point theorems for G-monotone ρ-nonexpansive mappings over ρ-compact or ρ-a.e. compact sets in modular function spaces endowed with a reflexive digraph not necessarily transitive. Examples are given to support our work.


2001 ◽  
Vol 44 (6) ◽  
pp. 829-842 ◽  
Author(s):  
Tomás Domı́nguez Benavides ◽  
Maria A.Japón Pineda

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