scholarly journals Characterizations of error bounds for lower semicontinuous functions on metric spaces

2004 ◽  
Vol 10 (3) ◽  
pp. 409-425 ◽  
Author(s):  
Dominique Azé ◽  
Jean-Noël Corvellec
Keyword(s):  
Error Bounds ◽  
Metric Spaces ◽  
Lower Semicontinuous ◽  
Lower Semicontinuous Functions ◽  
Semicontinuous Functions

scholarly journals Coercivity Properties for Sequences of Lower Semicontinuous Functions on Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
D. Motreanu ◽  
V. V. Motreanu
Keyword(s):  
Asymptotic Behavior ◽  
Metric Space ◽  
Metric Spaces ◽  
Lower Semicontinuous ◽  
Lower Semicontinuous Functions ◽  
Semicontinuous Functions

The paper presents various results studying the asymptotic behavior of a sequence of lower semicontinuous functions on a metric space. In particular, different coercivity properties are obtained extending and refining previous results. The specific features and the structure of the terms of the sequence are used to construct appropriate quantities relevant in the verification of Palais-Smale compactness type conditions.

scholarly journals Feng–Liu-type fixed point result in orbital b-metric spaces and application to fractal integral equation

2021 ◽  
Vol 26 (3) ◽  
pp. 522-533
Author(s):  
Hemant Kumar Nashine ◽  
Lakshmi Kanta Dey ◽  
Rabha W. Ibrahim ◽  
Stojan Radenovi´c
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Lower Semicontinuous ◽  
Lower Semicontinuous Functions ◽  
Fixed Point Result ◽  
Semicontinuous Functions

In this manuscript, we establish two Wardowski–Feng–Liu-type fixed point theorems for orbitally lower semicontinuous functions defined in orbitally complete b-metric spaces. The obtained results generalize and improve several existing theorems in the literature. Moreover, the findings are justified by suitable nontrivial examples. Further, we also discuss ordered version of the obtained results. Finally, an application is presented by using the concept of fractal involving a certain kind of fractal integral equations. An illustrative example is presented to substantiate the applicability of the obtained result in reducing the energy of an antenna.

Sandwich Theorems for Semicontinuous Operators

1992 ◽  
Vol 35 (4) ◽  
pp. 463-474 ◽  
Author(s):  
J. M. Borwein ◽  
M. Théra
Keyword(s):  
Lower Semicontinuous ◽  
Lower Semicontinuous Functions ◽  
Classical Interpolation ◽  
Semicontinuous Functions

AbstractWe provide vector analogues of the classical interpolation theorems for lower semicontinuous functions due to Dowker and to Hahn and Katetov-Tong.

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