scholarly journals Some KKM theorems in modular function spaces

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1307-1313
Author(s):  
Nasrin Karamikabir ◽  
Abdolrahman Razani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Best Approximation ◽  
Modular Function ◽  
Function Spaces ◽  
Minimax Inequality ◽  
Approximation Theorems ◽  
Coincidence Theorem ◽  
Modular Function Spaces ◽  
Ky Fan

In this paper, a coincidence theorem is obtained which is generalization of Ky Fan?s fixed point theorem in modular function spaces. A modular version of Fan?s minimax inequality is proved. Moreover, some best approximation theorems are presented for multi-valued mappings.

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 Modular best proximity and equilibrium pairs in free generalized games

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5719-5726
Author(s):  
Nasrin Karamikabir ◽  
Farajollah Yaghoobi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Existence Theorems ◽  
Modular Function ◽  
Function Spaces ◽  
Generalized Games ◽  
Modular Function Spaces ◽  
Person Game

In this paper, we prove a fixed point theorem for ?-acyclic factorizable multifunction. Some existence theorems of general best proximity pairs and equilibrium pairs are presented in modular function spaces. Moreover, some equilibrium theorems are established for free generalized n-person game.

scholarly journals Iterative Approximation of Fixed Point of Multivalued ρ-Quasi-Nonexpansive Mappings in Modular Function Spaces with Applications

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Godwin Amechi Okeke ◽  
Sheila Amina Bishop ◽  
Safeer Hussain Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Point Theory ◽  
Function Spaces ◽  
Initial Value ◽  
Iterative Approximation ◽  
Modular Function Spaces ◽  
Nonlinear Mappings

Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces. We prove some interesting theorems for ρ-quasi-nonexpansive mappings using the Picard-Krasnoselskii hybrid iterative process. We apply our results to solving certain initial value problem.

scholarly journals Fixed points results in modular vector spaces with applications to quantum operations and Markov operators

2020 ◽  
Vol 36 (2) ◽  
pp. 277-286
Author(s):  
MOHAMED AMINE KHAMSI ◽  
◽  
POOM KUMAM ◽  
UMAR BATSARI YUSUF ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Order Relation ◽  
Modular Function ◽  
Point Theory ◽  
Function Spaces ◽  
Vector Spaces ◽  
Markov Operators ◽  
Modular Spaces ◽  
Modular Function Spaces

Recently, researchers are showing more interest on both modular vector spaces and modular function spaces. Looking at the number of results it is pertinent to say that, exploration in this direction especially in the area of fixed point theory and applications is still ongoing, many good results can still be unveiled. As a contribution from our part, we study some fixed point results in modular vector spaces associated with order relation. As an application, we were able to study the existence of fixed point(s) of both depolarizing quantum operation and Markov operators through modular functions/modular spaces. The awareness on the importance of quantum theory and Economics globally were the sole motivations of the application choices in our work. Our work complement the existing results. In fact, it adds to the number of application areas that modular vector/function spaces covered.

scholarly journals Fixed point theory in modular function spaces

1990 ◽  
Vol 14 (11) ◽  
pp. 935-953 ◽  
Author(s):  
M.A. Khamsi ◽  
W.M. Kozlowski ◽  
S. Reich
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Modular Function ◽  
Point Theory ◽  
Function Spaces ◽  
Modular Function Spaces
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