scholarly journals A General Fixed Point Theorem For Implicit Cyclic Multi-Valued Contraction Mappings

2015 ◽  
Vol 29 (1) ◽  
pp. 119-129 ◽  
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Implicit Relation ◽  
Contraction Mappings

AbstractIn this paper, a general fixed point theorem for cyclic multi-valued mappings satisfying an implicit relation from [19] different from implicit relations used in [13] and [23], generalizing some results from [22], [15], [13], [14], [16], [10] and from other papers, is proved.

scholarly journals (α,ψ)-Meir-Keeler Contraction Mappings in Generalized b-Metric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-4 ◽  
Author(s):  
Erdal Karapinar ◽  
Stefan Czerwik ◽  
Hassen Aydi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contraction Mappings

We present a fixed point theorem for generalized (α,ψ)-Meir-Keeler type contractions in the setting of generalized b-metric spaces. The presented results improve, generalize, and unify many existing famous results in the corresponding literature.

scholarly journals The N-Fuzzy Metric Spaces and Mappings with Application

2015 ◽  
Vol 55 (1) ◽  
pp. 133-151 ◽  
Author(s):  
Neeraj Malviya
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Implicit Relation ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

Abstract In the present paper, we introduce the notion of N-fuzzy metric spaces (NFMSs), Pseudo N-fuzzy metric spaces and describe some of their properties. Also we prove a fixed point theorem using implicit relation in N-fuzzy metric spaces.

A general fixed point theorem for a pair of multi-valued mappings in partial metric spaces

2016 ◽  
Vol 56 (1) ◽  
pp. 129-141
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Implicit Relation ◽  
Partial Metric Spaces ◽  
New Type

AbstractThe purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.2 [4], Theorem 3.1 [3], Theorem 3.2 [7], Corollary 2.3 [4], Theorem 2.8 [16] and obtain other particular results.

scholarly journals Suzuki-Type Generalization of Chatterjea Contraction Mappings on Complete Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Mohammad Imdad ◽  
Ali Erduran
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contraction Mappings ◽  
Partial Metric Spaces

Motivated by Suzuki (2008), we prove a Suzuki-type fixed point theorem employing Chatterjea contraction on partial metric spaces.

scholarly journals Some variants of Wardowski fixed point theorem

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Muhammad Nazam ◽  
Hassen Aydi ◽  
Choonkil Park ◽  
Muhammad Arshad ◽  
Ekrem Savas ◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Contraction Mappings

AbstractThe purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are extensions of several ones existing in the literature. Moreover, we present examples and an application to support our results.

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