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 Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Baomin Qiao
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Nonlinear Operator ◽  
Order Theory ◽  
Iteration Theory ◽  
Operator Equations ◽  
Nonlinear Operator Equations ◽  
Monotone Iteration ◽  
Binary Operator

The existence and uniqueness for solution of systems of some binary nonlinear operator equations are discussed by using cone and partial order theory and monotone iteration theory. Furthermore, error estimates for iterative sequences and some corresponding results are obtained. Finally, the applications of our results are given.

Some Random Fixed Point Theorems and Comparing Random Operator Equations

2011 ◽  
Vol 52-54 ◽  
pp. 127-132
Author(s):  
Ning Chen ◽  
Bao Dan Tian ◽  
Ji Qian Chen
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorems ◽  
Random Operator ◽  
The Other ◽  
Operator Equations ◽  
Random Solution ◽  
Random Fixed Point ◽  
Other Hand ◽  
The Common

In this paper, some new results are given for the common random solution for a class of random operator equations which generalize several results in [4], [5] and [6] in Banach space. On the other hand, Altman’s inequality is also extending into the type of the determinant form. And comparing some solution for several examples, main results are theorem 2.3, theorem 3.3-3.4, theorem 4.1 and theorem 4.3.

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 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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