scholarly journals Some New Fixed-Point Results in non-Archimedean Dislocated Quasi Modular Metric Space Via C-Class and A-Class functions

2021 ◽  
Vol 65 (05) ◽  
pp. 180-185
Author(s):  
Babla Chandra Ghosh ◽  
Dipankar Das
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Modular Metric Space

scholarly journals TEOREMA TITIK TETAP UNTUK PEMETAAN KANNAN PADA RUANG METRIK MODULAR TERITLAK

1970 ◽  
Vol 11 (2) ◽  
pp. 11
Author(s):  
Lusi Harini
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Modular Metric Space ◽  
Type Mapping ◽  
Kannan Mapping ◽  
Finite Set

In this paper, we will discuss about fixed point theorems in generalized modular metric space for Kannan-  type mapping. The existence of the fixed point of this mapping is guaranteed by providing that the mapping domain is a -finite set and the Kannan-  mapping constant  satisfied  where K is a constant from the axiom of generalized modular metric space.

scholarly journals Common fixed point for some generalized contractive mappings in a modular metric space with a graph

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Karim Chaira ◽  
Abderrahim Eladraoui ◽  
Mustapha Kabil ◽  
Abdessamad Kamouss
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Modular Metric Space ◽  
Contractive Mappings ◽  
Contractive Type

AbstractIn this paper, we investigate the existence and the uniqueness of a common fixed point of a pair of self-mappings satisfying new contractive type conditions on a modular metric space endowed with a reflexive digraph. An application is given to show the use of our main result.

Meir–Keeler type contractive mappings in modular and partial modular metric spaces

2019 ◽  
Vol 13 (05) ◽  
pp. 2050087
Author(s):  
Hasan Hosseinzadeh ◽  
Vahid Parvaneh
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Modular Metric Space ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Modular Metric Spaces ◽  
Contractive Mappings

In this paper, first, we introduce the class of [Formula: see text]-Meir–Keeler contractive mappings and establish some fixed point results. Next, we introduce the notion of partial modular metric space and establish some fixed point results in this new spaces. As consequences of these results, we deduce some fixed point theorems in modular metric spaces endowed with a graph and in partially ordered metric spaces. Some examples are furnished to demonstrate the validity of the obtained results.

scholarly journals Common fixed point theorems for several multivalued mappings on proximinal sets in regular modular space

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
N. Faried ◽  
H. Abd El-Ghaffar ◽  
S. Hamdy
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Modular Space ◽  
Multivalued Mappings ◽  
Modular Metric Space ◽  
Proximinal Sets ◽  
Common Fixed Point Theorems

AbstractIn this paper, we found a common fixed point for several multivalued mappings on proximinal sets in regular modular metric space. Also, we introduced the notions of conjoint F-proximinal contraction as well as conjoint F-proximinal contraction of Hardy–Rogers-type for several multivalued mappings. Furthermore, we enhanced our results by giving an application in integral equations.

scholarly journals Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Fahad Sameer Alshammari ◽  
K. P. Reshma ◽  
Rajagopalan R. ◽  
Reny George
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Modular Metric Space ◽  
Contractive Mappings ◽  
Modular Spaces ◽  
Type Integral ◽  
Fixed Point Equation ◽  
Point Equation

Extending the Presic type operators to modular spaces, we introduce generalised Presic type w -contractive mappings and strongly w -contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. Ulam–Hyers stability of the fixed-point equation involving Presic type operators is also discussed. Our results extend and generalise some known results in the literature. The results are supported by appropriate example and an application to Caratheodory type integral equation.

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