scholarly journals Fixed point theorems on infinite dimensional manifolds

1965 ◽  
Vol 119 (2) ◽  
pp. 179-179 ◽  
Author(s):  
Felix E. Browder
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Infinite Dimensional

scholarly journals Fixed-point theorems for groups acting on non-positively curved manifolds

2019 ◽  
pp. 1-19
Author(s):  
Omer Lavy
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Hadamard Manifold ◽  
Hadamard Manifolds ◽  
Isometric Action ◽  
Infinite Dimensional ◽  
Curved Manifolds ◽  
Isometric Actions ◽  
Finite Quotient ◽  
Positively Curved

We study isometric actions of Steinberg groups on Hadamard manifolds. We prove some rigidity properties related to these actions. In particular, we show that every isometric action of [Formula: see text] on Hadamard manifold when [Formula: see text] factors through a finite quotient. We further study actions on infinite-dimensional manifolds and prove a fixed-point theorem related to such actions.

scholarly journals Fractional q-Difference Inclusions in Banach Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 91
Author(s):  
Badr Alqahtani ◽  
Saïd Abbas ◽  
Mouffak Benchohra ◽  
Sara Salem Alzaid
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Measure Of Noncompactness ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Existence Results ◽  
Infinite Dimensional ◽  
Difference Inclusions

In this paper, we study a class of Caputo fractional q-difference inclusions in Banach spaces. We obtain some existence results by using the set-valued analysis, the measure of noncompactness, and the fixed point theory (Darbo and Mönch’s fixed point theorems). Finally we give an illustrative example in the last section. We initiate the study of fractional q-difference inclusions on infinite dimensional Banach spaces.

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

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