scholarly journals FIXED POINT THEORY FOR VARIOUS CLASSES OF INWARD MULTIVALUED MAPS

2009 ◽  
Vol 81 (1) ◽  
pp. 1-15
Author(s):  
RAVI P. AGARWAL ◽  
DONAL O’REGAN
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Fréchet Spaces ◽  
Multivalued Maps ◽  
Contractive Type ◽  
Weakly Inward

AbstractIn this paper we present new fixed point theorems for inward and weakly inward type maps between Fréchet spaces. We also discuss Kakutani–Mönch and contractive type maps.

scholarly journals On solvability of infinite system of integral equations of Volterra together with Hammerstein type in the Fréchet spaces

Filomat ◽  
2021 ◽  
Vol 35 (6) ◽  
pp. 2055-2069
Author(s):  
Shahram Banaei
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Integral Equations ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Measure Of Noncompactness ◽  
Infinite System ◽  
Existence Of Solutions ◽  
Fréchet Spaces ◽  
System Of Integral Equations

In this paper, we prove some fixed point theorems associated with Tychonoff fixed point theorem and measure of noncompactness in the Fr?chet spaces. Moreover, as an application of our results, we analyze the existence of solutions for infinite system of integral equations of Volterra together with Hammerstein type. Finally, we present an example to illustrate the effectiveness of our results.

scholarly journals Random fixed points for ∗-nonexpansive random operators

2001 ◽  
Vol 14 (4) ◽  
pp. 341-349 ◽  
Author(s):  
Abdul Rahim Khan ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Random Operators ◽  
Multivalued Map ◽  
Fréchet Spaces ◽  
Random Fixed Points ◽  
Continuous Map ◽  
Nonexpansive Multivalued Map ◽  
Number Of Authors

The notion of a ∗-nonexpansive multivalued map is different from that of a continuous map. In this paper we prove some fixed point theorems for ∗-nonexpansive multivalued random operators in the setup of Banach spaces and Fréchet spaces. Our work generalizes, refines and improves the earlier results of a number of authors.

scholarly journals Fixed point theorems in Fréchet algebras and Fréchet spaces and applications to nonlinear integral equations

2017 ◽  
Vol 11 (2) ◽  
pp. 340-357 ◽  
Author(s):  
Szymon Dudek
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Existence Results ◽  
Fréchet Spaces ◽  
Nonlinear Integral Equations ◽  
Measures Of Noncompactness

In this paper, we present two new fixed point theorems in Fr?chet algebras and Fr?chet spaces. Our fixed point results are expressed with the help of family of measures of noncompactness and generalizes Darbo theorem. As an application, we establish some existence results for various types of nonlinear integral equations.

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