scholarly journals A fixed point theorem for (μ, ψ)-generalized ƒ-weakly contractive mappings in partially ordered 2-metric spaces

2017 ◽  
Vol 21 (1) ◽  
pp. 37-50
Author(s):  
Trung Hieu ◽  
Ngoc Cam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings ◽  
Weakly Contractive

scholarly journals A fixed point theorem for generalized weakly contractive mappings in b -metric spaces

2020 ◽  
Vol 4 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Eliyas Zinab ◽  
◽  
Kidane Koyas ◽  
Aynalem Girma ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Weakly Contractive

scholarly journals Remarks of Fixed Point for ( ψ , φ )-Weakly Contractive Mappings

2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Zhiqun Xue ◽  
Guiwen Lv
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Weak Contraction ◽  
Generalized Metric Spaces ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Weakly Contractive ◽  
Appl Math

In this paper, we obtain a new fixed point theorem for weak contraction mappings on complete generalized metric spaces. Our result is different from that of ( ψ , φ )-weakly contractive mappings which had been obtained by Lakzian–Samet’s [Appl. Math. Lett. 25 (2012) 902–906]. Moreover, an example is given to illustrate the usability of the obtained result.

Fixed point of contractive mappings in generalized metric spaces

2009 ◽  
Vol 59 (4) ◽  
Author(s):  
Pratulananda Das ◽  
Lakshmi Dey
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Contractive Mappings ◽  
Generalized Metric

AbstractWe prove a fixed point theorem for contractive mappings of Boyd and Wong type in generalized metric spaces, a concept recently introduced in [BRANCIARI, A.: A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (2000), 31–37].

scholarly journals On ParametricS-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Nihal Taş ◽  
Nihal Yılmaz Özgür
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Point Type

We introduce the notion of a parametricS-metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametricS-metric space. It is important to obtain new fixed-point theorems on a parametricS-metric space because there exist some parametricS-metrics which are not generated by any parametric metric. We expect that many mathematicians will study various fixed-point theorems using new expansive mappings (or contractive mappings) in a parametricS-metric space.

scholarly journals A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space

2010 ◽  
Vol 2010 ◽  
pp. 1-8 ◽  
Author(s):  
J. Harjani ◽  
B. López ◽  
K. Sadarangani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Partially Ordered ◽  
Rational Type

The purpose of this paper is to present a fixed point theorem using a contractive condition of rational type in the context of partially ordered metric spaces.

scholarly journals Fixed Point Theorems for Set-Valued Mappings under Contractive Condition in Quasi-Metric Spaces

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
M. Eshaghi Gordji ◽  
S. Mohseni Kolagar ◽  
Y.J. Cho ◽  
H. Baghani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Generalized Weak Contraction ◽  
Banach’S Fixed Point Theorem ◽  
Set Valued Mappings ◽  
Weakly Contractive

Abstract In this paper, we introduce the concept of a generalized weak contraction for set-valued mappings defined on quasi-metric spaces. We show the existence of fixed points for generalized weakly contractive set-valued mappings. Indeed, we have a generalization of Nadler’s fixed point theorem and Banach’s fixed point theorem in quasi-metric spaces and, further, investigate the convergence of iterate scheme of the form xn+1 ∈ Fxn with error estimates.

scholarly journals A new type fixed point theorem for a contraction on partially ordered generalized complete metric spaces with applications

2014 ◽  
Vol 2014 (1) ◽  
pp. 15 ◽  
Author(s):  
Madjid Eshaghi Gordji ◽  
Maryam Ramezani ◽  
Farhad Sajadian ◽  
Yeol Cho ◽  
Choonkil Park
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Complete Metric Spaces ◽  
Partially Ordered ◽  
New Type

scholarly journals A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces

2020 ◽  
Vol 34 (2) ◽  
pp. 268-285
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Type ◽  
Implicit Relation ◽  
Contractive Mappings ◽  
Weak Compatibility ◽  
New Type

AbstractA general fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation ([37]), without weak compatibility in Gp-metric spaces is proved. As applications, new results for mappings satisfying contractive conditions of integral type and for ϕ-contractive mappings are obtained.

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