scholarly journals Common fixed points of multivalued F-contractions on metric spaces with a directed graph

2016 ◽  
Vol 32 (1) ◽  
pp. 1-12
Author(s):  
MUJAHID ABBAS ◽  
◽  
MONTHER R. ALFURAIDAN ◽  
TALAT NAZIR ◽  
◽  
...  
Keyword(s):  
Fixed Points ◽  
Directed Graph ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contraction Mappings

In this paper, we establish the existence of common fixed points of multivalued F-contraction mappings on a metric space endowed with a graph. An example is presented to support the results proved herein. Our results unify, generalize and complement various known comparable results in the literature.

Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph

2016 ◽  
Vol 36 (4) ◽  
pp. 1607-1622 ◽  
Author(s):  
Mujahid Abbas ◽  
Talat Nazir ◽  
Tatjana Aleksić Lampert ◽  
Stojan Radenović
Keyword(s):  
Fixed Points ◽  
Directed Graph ◽  
Common Fixed Points ◽  
Contraction Mappings ◽  
Domain Of Sets

scholarly journals Common Fixed Points via λ-Sequences in G-Metric Spaces

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Yaé Ulrich Gaba
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points

We use λ-sequences in this article to derive common fixed points for a family of self-mappings defined on a complete G-metric space. We imitate some existing techniques in our proofs and show that the tools employed can be used at a larger scale. These results generalize well known results in the literature.

Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces

2009 ◽  
Vol 2009 ◽  
pp. 1-8 ◽  
Author(s):  
Ismat Beg ◽  
Akbar Azam ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Vector Space ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Topological Vector Space ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Cone Metric Spaces ◽  
Cone Metric

We introduced a notion of topological vector space valued cone metric space and obtained some common fixed point results. Our results generalize some recent results in the literature.

Analysis of F-contractions in function weighted metric spaces with an application

2020 ◽  
Vol 18 (1) ◽  
pp. 582-594 ◽  
Author(s):  
Zhenhua Ma ◽  
Awais Asif ◽  
Hassen Aydi ◽  
Sami Ullah Khan ◽  
Muhammad Arshad
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Closed Ball ◽  
Contractive Condition ◽  
Whole Space ◽  
Empirical Perspective ◽  
Rational Type

Abstract In this work, we show that the existence of fixed points of F-contraction mappings in function weighted metric spaces can be ensured without third condition (F3) imposed on Wardowski function F\mathrm{:(0,\hspace{0.33em}}\infty )\to \Re . The present article investigates (common) fixed points of rational type F-contractions for single-valued mappings. The article employs Jleli and Samet’s perspective of a new generalization of a metric space, known as a function weighted metric space. The article imposes the contractive condition locally on the closed ball, as well as, globally on the whole space. The study provides two examples in support of the results. The presented theorems reveal some important corollaries. Moreover, the findings further show the usefulness of fixed point theorems in dynamic programming, which is widely used in optimization and computer programming. Thus, the present study extends and generalizes related previous results in the literature in an empirical perspective.

scholarly journals Existence of common fixed points via modified mann iteration in convex metric spaces and an invariant approximation result

2010 ◽  
Vol 41 (4) ◽  
pp. 335-348
Author(s):  
G.V.R. Babu ◽  
G.N. Alemayehu
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Convex Metric Space ◽  
Approximation Result ◽  
Mann Iteration ◽  
Invariant Approximation ◽  
Convex Metric Spaces ◽  
Weakly Contractive

We prove the existence of common fixed points for two selfmaps $T$ and $f$ of a convex metric space $X$ via the convergence of modified Mann iteration where $T$ is a nonlinear $f$-weakly contractive selfmap of $X$ and range of $f$ is complete. An invariant approximation result is also proved.

scholarly journals Common Fixed Point Results Using Generalized Altering Distances on Orbitally Complete Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Hemant Kumar Nashine ◽  
Zoran Kadelburg ◽  
Zorana Golubović
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Asymptotically Regular

We prove the existence of common fixed points for three relatively asymptotically regular mappings defined on an orbitally complete ordered metric space using orbital continuity of one of the involved maps. We furnish a suitable example to demonstrate the validity of the hypotheses of our results.

scholarly journals A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1290
Author(s):  
Juan Martínez-Moreno ◽  
Dhananjay Gopal
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Banach Contraction

In this paper, we define and study the Perov fuzzy metric space and the topology induced by this space. We prove Banach contraction theorems. Moreover, we devised new results for Kramosil and Michálek fuzzy metric spaces. In the process, some results about multidimensional common fixed points as coupled/tripled common fixed point results are derived from our main results.

scholarly journals Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Youssef Errai ◽  
El Miloudi Marhrani ◽  
Mohamed Aamri
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Contractive Mapping ◽  
Contraction Mappings ◽  
Weakly Contractive Mapping ◽  
New Concepts ◽  
Weakly Contractive ◽  
Type Contraction

In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of g -interpolative Hardy–Rogers type contractions in b -metric spaces to prove the existence of the coincidence point. Lastly, we add a third concept, interpolative weakly contractive mapping type, Ćirić–Reich–Rus, to show the existence of fixed points. These results are a generalization of previous results, which we have reinforced with examples.

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