scholarly journals Uniqueness of Common Fixed Points for a Family of Mappings with <i>Φ</i>-Contractive Condition in 2-Metric Spaces

2012 ◽  
Vol 03 (01) ◽  
pp. 73-77 ◽  
Author(s):  
Yong-Jie Piao
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition

scholarly journals Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Fei He
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Positive Answer ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Scalarization Method ◽  
Cone Metric

We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with aQ-function. Furthermore, using the scalarization method, we deduce some results of common fixed point in tvs-cone metric spaces with ac-distance. As application, we give a positive answer to the question of Ćirić et al. posed in 2012. Our results extend and generalize many recent results.

scholarly journals Common Fixed Points for Weakψ-Contractive Mappings in Ordered Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sumit Chandok ◽  
Simona Dinu
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Contractive Mappings ◽  
Common Fixed Point Theorems

We obtain some new common fixed point theorems satisfying a weak contractive condition in the framework of partially ordered metric spaces. The main result generalizes and extends some known results given by some authors 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 Common Fixed Point Results for a Pair of Multivalued Mappings in Complex-Valued b-Metric Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Olawale Kazeem Oyewole ◽  
Kazeem Olalekan Aremu ◽  
Lateef Olakunle Jolaoso
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Liouville Equation ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Contractive Condition ◽  
Contractive Mappings ◽  
Complex Valued Metric Space ◽  
Complex Valued

Several fixed point results for the existence of common fixed points of multivalued contractive mappings have been established in complex-valued metric space. In this paper, we study the existence of common fixed points for a pair of multivalued contractive mappings satisfying some rational inequalities in the framework of complex-valued b-metric spaces. The contractive condition used in this paper generalizes many contractive conditions used by other authors in the literature. Employing our results, we check the existence solution to the Riemann-Liouville equation.

scholarly journals Some Results on N-Tupled Coincidence and Fixed Points of Graphs on Metric Spaces and an Application to Integral Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Ahmed H. Soliman ◽  
Tamer Nabil
Keyword(s):  
Fixed Points ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Uniqueness Of Solutions ◽  
Systems Of Integral Equations ◽  
Theoretical Results

In this work, we establish some N-tupled common coincidence and N-tupled common fixed points for the mappings satisfying a (φ-ψ)-type contractive condition in a complete metric space endowed with a directed graph (for short digraph). Also, we apply our theoretical results to study the existence and uniqueness of solutions for systems of integral equations.

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