scholarly journals Some Applications of New Complex Function Space Constructed by Different Weights and Exponents

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Awad A. Bakery ◽  
Elsayed A. E. Mohamed
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Function Space ◽  
Point Theorem ◽  
Complex Function ◽  
Definite Function ◽  
Caristi’S Fixed Point Theorem ◽  
Topological Characteristics ◽  
Caristi's Fixed Point Theorem

In this article, we develop and study a new complex function space formed by varying the weights and exponents under a definite function. We investigate the geometric and topological characteristics of mapping ideals created using s -numbers and this complex function space. Also, the action of shift mappings on this complex function space has been discussed. Finally, we introduced an extension of Caristi’s fixed point theorem on it.

scholarly journals A minimization theorem in quasi-metric spaces and its applications

2002 ◽  
Vol 31 (7) ◽  
pp. 443-447 ◽  
Author(s):  
Jeong Sheok Ume
Keyword(s):  
Fixed Point ◽  
Variational Principle ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Caristi’S Fixed Point Theorem ◽  
Caristi's Fixed Point Theorem

We prove a new minimization theorem in quasi-metric spaces, which improves the results of Takahashi (1993). Further, this theorem is used to generalize Caristi's fixed point theorem and Ekeland'sϵ-variational principle.

scholarly journals Caristi’s Fixed Point Theorem in G-Metric Spaces and Applications

2021 ◽  
pp. 3-7
Author(s):  
Iluno C. ◽  
Adetowubo A. ◽  
Adewale O. K.
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Caristi’S Fixed Point Theorem ◽  
Good Number ◽  
Caristi's Fixed Point Theorem

In this paper, we give some versions of Caristi’s fixed point theorem in a more general metric spacesetting. Our work extends a good number of results in this area of research

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