Dynamical properties of distal function spaces and fixed point theorems

1985 ◽  
Vol 31 (1) ◽  
pp. 207-218
Author(s):  
R. D. Pandian
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Function Spaces ◽  
Dynamical Properties

ON MODULATED TOPOLOGICAL VECTOR SPACES AND APPLICATIONS

2019 ◽  
Vol 101 (2) ◽  
pp. 325-332 ◽  
Author(s):  
WOJCIECH M. KOZLOWSKI
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Modular Function ◽  
Function Spaces ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Modular Function Spaces ◽  
Bare Minimum ◽  
Minimalist Framework

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.

scholarly journals Common Fixed-Point Theorems in Modular Function Spaces Endowed with Reflexive Digraph

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Jaauad Jeddi ◽  
Mustapha Kabil ◽  
Samih Lazaiz
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Modular Function ◽  
Function Spaces ◽  
Modular Function Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

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.

scholarly journals Fixed Point Theorems with Applications to the Solvability of Operator Equations and Inclusions on Function Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-1
Author(s):  
Nawab Hussain ◽  
Jesus Garcia-Falset ◽  
Mohamed-Aziz Taoudi ◽  
Calogero Vetro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Function Spaces ◽  
Operator Equations

scholarly journals Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph

2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
Jaauad Jeddi ◽  
Mustapha Kabil ◽  
Samih Lazaiz
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Function Spaces ◽  
Compact Sets ◽  
Modular Function Spaces

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.

Fixed-point theorems for asymptotically regular mappings in Orlicz function spaces

2001 ◽  
Vol 44 (6) ◽  
pp. 829-842 ◽  
Author(s):  
Tomás Domı́nguez Benavides ◽  
Maria A.Japón Pineda
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Orlicz Function ◽  
Function Spaces ◽  
Asymptotically Regular
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