scholarly journals An extension of Assad-Kirk’s fixed point theorem for multivalued nonself mappings

2016 ◽  
Vol 32 (2) ◽  
pp. 147-155
Author(s):  
ISHAK ALTUN ◽  
◽  
GULHAN MINAK ◽  
◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Convex Metric Spaces ◽  
Recent Developments

In the present paper, taking into account the recent developments on the theory of fixed point, we give some fixed point results for multivalued nonself mappings on complete metrically convex metric spaces. Our main result properly includes the famous Assad-Kirk fixed point theorem for nonself mappings. Also, we provide a nontrivial example which shows the motivation for such investigations of multivalued nonself contraction mappings.

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 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 Types of Fixed Points of Set-Valued Contraction Mappings for Comparable Elements

2020 ◽  
pp. 190-195
Author(s):  
Shaimia Qais Latif ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Ordered Metric Spaces ◽  
Contraction Mappings ◽  
Coupled Fixed Point Theorem ◽  
Contraction Condition

This paper is concerned with the study of the fixed points of set-valued contractions on ordered metric spaces. The first part of the paper deals with the existence of fixed points for these mappings where the contraction condition is assumed for comparable variables. A coupled fixed point theorem is also established in the second part.

scholarly journals Recent Fixed-Point Results for θ − Contraction Mappings in Rectangular M − Metric Spaces with Supportive Application

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Mustafa Mudhesh ◽  
Hasanen A. Hammad ◽  
Habes Alsamir ◽  
Muhammad Arshad ◽  
Eskandar Ameer
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Theoretical Result ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Nonlinear Integral Equation ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Uniqueness Of The Solution

The goal of this manuscript is to present a new fixed-point theorem on θ − contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. Moreover, some related sequences with θ − contraction mappings have been discussed. Ultimately, our theoretical result has been implicated to study the existence and uniqueness of the solution to a nonlinear integral equation (NIE).

scholarly journals Fixed Point Results for Generalized Contraction Mappings and Cyclical Mappings in b-Metric Spaces Endowed with a Digraph

2019 ◽  
Vol 57 (2) ◽  
pp. 86-102
Author(s):  
Sushanta Kumar Mohanta ◽  
Deep Biswas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Generalized Contraction ◽  
Contraction Mappings

Abstract In this paper, we establish a fixed point theorem for generalized contraction mappings in b-metric spaces endowed with a digraph. As an application of this result, we obtain fixed points of cyclical mappings in the setting of b-metric spaces. Our results extend and generalize several existing results in the literature.

scholarly journals Existence and approximation of fixed points in convex metric spaces

2014 ◽  
Vol 30 (2) ◽  
pp. 175-185
Author(s):  
HAFIZ FUKHAR-UD-DIN ◽  
◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Uniformly Convex Banach Spaces ◽  
Convex Metric Spaces ◽  
Asymptotically Nonexpansive ◽  
Generalized Nonexpansive Mapping ◽  
The Fixed Point Theorem

A fixed point theorem for a generalized nonexpansive mapping is established in a convex metric space introduced by Takahashi [A convexity in metric spaces and nonexpansive mappings, Kodai Math. Sem. Rep., 22 (1970), 142–149]. Our theorem generalizes simultaneously the fixed point theorem of Bose and Laskar [Fixed point theorems for certain class of mappings, Jour. Math. Phy. Sci., 19 (1985), 503–509] and the well-known fixed point theorem of Goebel and Kirk [A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., 35 (1972), 171–174] on a nonlinear domain. The fixed point obtained is approximated by averaging Krasnosel’skii iterations of the mapping. Our results substantially improve and extend several known results in uniformly convex Banach spaces and CAT(0) spaces.

scholarly journals Fixed Point Theorem for Cyclic Weakly Generalized Contraction Mapping of Ciric Type

2020 ◽  
Vol 12 (4) ◽  
pp. 463-471
Author(s):  
S. Goyal ◽  
M. Garg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Generalized Contraction ◽  
Contraction Mappings ◽  
Complete Metric Spaces

In this article, the concept of cyclic weakly generalized contraction mapping of Ciric type has been introduced and the existence of a fixed point for such mappings in the setup of complete metric spaces has been established. Result obtained extends and improves some fixed point results in the literature. Example is also given to show that class of contraction mappings introduced in the paper is strictly larger class than the class of mappings used in the literature and thus ensures wider applicability of the result by producing the solutions to new problems.

scholarly journals A fixed point theorem for a Ciric-Berinde type mapping in orbitally complete metric spaces

2014 ◽  
Vol 30 (1) ◽  
pp. 63-70
Author(s):  
SEONG-HOON CHO ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Type Mapping

In this paper, we introduce the notion of Ciric-Berinde type almost set-valued contraction mappings and give a ´ fixed point theorem for these mappings in orbitally complete metric spaces.

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