scholarly journals Common Fixed Point Results for a Class of (α,β)-Geraghty Contraction Type Mappings in Modular Metric Spaces

2020 ◽  
Author(s):  
Merve AKTAY
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Modular Metric Spaces ◽  
Contraction Type

scholarly journals Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces

Axioms ◽  
2018 ◽  
Vol 7 (4) ◽  
pp. 74 ◽  
Author(s):  
Haitham Qawaqneh ◽  
Mohd Noorani ◽  
Wasfi Shatanawi ◽  
Habes Alsamir
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partially Ordered ◽  
Type Mapping ◽  
Admissible Mapping ◽  
Contraction Type ◽  
Common Fixed Point Theorems

The aim of this paper is to establish the existence of some common fixed point results for generalized Geraghty ( α , ψ , ϕ ) -quasi contraction self-mapping in partially ordered metric-like spaces. We display an example and an application to show the superiority of our results. The obtained results progress some well-known fixed (common fixed) point results in the literature. Our main results cannot be specifically attained from the corresponding metric space versions. This paper is scientifically novel because we take Geraghty contraction self-mapping in partially ordered metric-like spaces via α − admissible mapping. This opens the door to other possible fixed (common fixed) point results for non-self-mapping and in other generalizing metric spaces.

scholarly journals Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Parin Chaipunya ◽  
Chirasak Mongkolkeha ◽  
Wutiphol Sintunavarat ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Modular Metric Spaces ◽  
Contraction Type ◽  
The Stability

We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

scholarly journals Common fixed point theorems for contraction type mappings in partially ordered metric spaces

2012 ◽  
Vol 43 (1) ◽  
pp. 21-26
Author(s):  
Chi-Ming Chen ◽  
Ching-Ju Lin
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Partially Ordered ◽  
The Common ◽  
Contraction Type ◽  
Common Fixed Point Theorems

The purpose of this paper to present the common fixed point theorems for a stronger Meir-Keeler type mapping in partially ordered metric space. Our results generalize some recent results.

scholarly journals SOME COMMON FIXED POINT RESULTS FOR RATIONAL CONTRACTION TYPE VIA THE C-CLASS FUNCTIONS ON METRIC SPACES

2019 ◽  
pp. 231
Author(s):  
Nguyen Thi Thanh Ly ◽  
Nguyen Trung Hieu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Nonlinear Integral Equations ◽  
Contraction Type ◽  
Rational Contraction

The purpose of this paper is to prove some common fixed point results for rational contraction type via the C-class functions on metric spaces. As an application, we study the existence of solutions to the system of nonlinear integral equations.

scholarly journals Some Common Fixed Point Theorems forF-Contraction Type Mappings in 0-Complete Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Satish Shukla ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contraction Type ◽  
Common Fixed Point Theorems

We prove some common fixed point theorems forF-contractions in 0-complete partial metric spaces. Our results extend, generalize, and unify several known results in the literature. Some examples are included which show that the generalization is proper.

scholarly journals On some non-linear contractions in modular metric spaces

Filomat ◽  
2020 ◽  
Vol 34 (12) ◽  
pp. 3971-3980
Author(s):  
Surajit Karmakar ◽  
Lakshmi Dey ◽  
Ankush Chanda ◽  
Zoran Mitrovic
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Numerical Examples ◽  
Modular Metric Spaces ◽  
The Common ◽  
Open Question ◽  
Appl Math ◽  
Common Fixed Point Theorem

Motivated by the exciting notion of modular metric spaces, in this manuscript, we positively answer an open question posed by Mitrovic et al. [Ital. J. Pure Appl. Math., 41 (2019), 679-690] on the existence of fixed points of Hardy-Rogers contractions. Moreover, in the said setting, we conceive the common fixed point theorem of Jungck. As consequences of our findings, we deduce a few fixed point and common fixed point results which authenticate the novelty of the obtained theories. Finally, we construct numerical examples to validate our study.

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