scholarly journals EXISTENCE OF FIXED POINTS OF SET-VALUED MAPPINGS IN b-METRIC SPACES

2016 ◽  
Vol 32 (3) ◽  
pp. 319-332 ◽  
Author(s):  
Hojjat Afshari ◽  
Hassen Aydi ◽  
Erdal Karapinar
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Set Valued Mappings

scholarly journals F-Metric, F-Contraction and Common Fixed-Point Theorems with Applications

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 586 ◽  
Author(s):  
Awais Asif ◽  
Muhammad Nazam ◽  
Muhammad Arshad ◽  
Sang Og Kim
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Third ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In this paper, we noticed that the existence of fixed points of F-contractions, in F -metric space, can be ensured without the third condition (F3) imposed on the Wardowski function F : ( 0 , ∞ ) → R . We obtain fixed points as well as common fixed-point results for Reich-type F-contractions for both single and set-valued mappings in F -metric spaces. To show the usability of our results, we present two examples. Also, an application to functional equations is presented. The application shows the role of fixed-point theorems in dynamic programming, which is widely used in computer programming and optimization. Our results extend and generalize the previous results in the existing literature.

scholarly journals Fixed points of locally fuzzy contractive set-valued mappings in fuzzy metric spaces

2017 ◽  
Vol 18 (2) ◽  
pp. 601-614
Author(s):  
Shihuang Hong ◽  
◽  
Chunxiang Zhao ◽  
Yingzi Peng ◽  
◽  
...  
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Set Valued Mappings

scholarly journals Related fixed points for set valued mappings on two metric spaces

2000 ◽  
Vol 23 (3) ◽  
pp. 205-210 ◽  
Author(s):  
Brian Fisher ◽  
Duran Türkoglu
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Compact Metric Spaces ◽  
Set Valued Mappings

Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.

Fixed points of set-valued contractions in partial metric spaces endowed with a graph

2014 ◽  
Vol 30 (2) ◽  
pp. 129-137
Author(s):  
MUJAHID ABBAS ◽  
◽  
BASIT ALI ◽  
GABRIELA PETRUSEL ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Nadler’S Fixed Point Theorem ◽  
Partial Metric Spaces ◽  
Partial Hausdorff Metric ◽  
Set Valued Mappings

Hassen, Abbas and Vetro [H. Aydi, M. Abbas and C. Vetro, Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces, Topology and its App., 159 (2012), 3234–3242] introduced the concept of a partial Hausdorff-Pompeiu metric and proved Nadler’s theorem in this context. Employing the notion of a partial Hausdorff-Pompeiu metric, we investigate the existence of fixed points of set-valued mappings on partial metric spaces endowed with a graph. Our results extend some recent theorems in the literature.

scholarly journals A local fixed point theorem for set-valued mappings on partial metric spaces

2016 ◽  
Vol 17 (1) ◽  
pp. 37 ◽  
Author(s):  
Abdessalem Benterki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Gauge Functions ◽  
Contractive Type ◽  
Set Valued Mappings

The purpose of this paper is to study the existence and location of fixed points for pseudo-contractive-type set-valued mappings in the setting of partial metric spaces by using Bianchini-Grundolfi gauge functions.

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