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 Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jamshaid Ahmad ◽  
Chakkrid Klin-Eam ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Contractive Mappings ◽  
Complex Valued Metric Space ◽  
Complex Valued ◽  
Common Fixed Point Theorems

In this paper, we introduce the notion of multivalued contractive mappings in complex valued metric space and prove common fixed point theorems for two multivalued contractive mappings in complex valued metric spaces without using the notion of continuity. Our results improve and extend the results of Azam et al. (2011).

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.

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 Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result

2017 ◽  
Vol 10 (07) ◽  
pp. 3381-3396 ◽  
Author(s):  
Wasfi Shatanawi ◽  
Mohd Salmi MD Norani ◽  
Jamshaid Ahmad ◽  
Habes Alsamir ◽  
Marwan Amin Kutbi
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Homotopy Result ◽  
Complex Valued

scholarly journals Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Mujahid Abbas ◽  
Manuel De la Sen ◽  
Talat Nazir
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Nonempty Subset ◽  
Common Fixed Points ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Contractive Type ◽  
Complex Valued Metric Space ◽  
Complex Valued

We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.

scholarly journals Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces

2015 ◽  
Vol 23 (2) ◽  
pp. 179-185
Author(s):  
Hemant Kumar Nashine ◽  
Brian Fisher
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Common Fixed Points ◽  
Generalized Contraction ◽  
Rational Expressions ◽  
Complex Valued ◽  
Common Fixed Point Theorems

Abstract The purpose of this paper is to study common fixed points in complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions.

Some Common Fixed Points of Generalized Contractive Mappings on Complex Valued Metric Spaces

2017 ◽  
Vol 5 (1) ◽  
pp. 73-80 ◽  
Author(s):  
Sami Ullah Khan ◽  
Muhammad Arshad ◽  
Hemant Kumar Nashine ◽  
Muhammad Nazam
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Mappings ◽  
Complex Valued

scholarly journals Common Fixed Point Results for Fuzzy Mappings on Complex-Valued Metric Spaces with Homotopy Results

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 61 ◽  
Author(s):  
Humaira ◽  
Muhammad Sarwar ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Rational Expression ◽  
Complex Valued Metric Space ◽  
Homotopy Result ◽  
Complex Valued

Owing to the notion of a complex-valued metric space, we prove fixed point results, which generalize some common fixed point results under contractive condition for rational expression in the context of complex-valued metric spaces. In application, we present a homotopy result to apply the results obtained herein.

scholarly journals Common fixed point results in complex valued metric spaces with application to integral equations

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1363-1380 ◽  
Author(s):  
N. Hussain ◽  
Akbar Azam ◽  
Jamshaid Ahmad ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Complex Valued Metric Space ◽  
Complex Valued

In this paper, common fixed point of six mappings satisfying a contractive condition involving rational inequality in the framework of complex valued metric space are obtained. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results.

scholarly journals Fixed points of asymptotically regular multivalued mappings

1992 ◽  
Vol 53 (3) ◽  
pp. 313-326 ◽  
Author(s):  
Ismat Beg ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Multivalued Mapping ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Coincidence Points ◽  
Asymptotically Regular

AbstractSome results on fixed point of asymptotically regular multivalued mapping are obtained in metric spaces. The structure of common fixed points and coincidence points of a pair of compatible multivalued mappings is also discussed. Our work generalizes known results of Aubin and Siegel, Dube, Dube and Singh, Hardy and Rogers, Hu, Iseki, Jungck, Kaneko, Nadler, Ray and Shiau, Tan and Wong.

Sign in / Sign up

Export Citation Format

Share Document