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 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 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 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.

scholarly journals Common fixed points of (α-ψ)- generalized rational multivalued contractions in dislocated quasi b-metric spaces and applications

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3263-3284 ◽  
Author(s):  
Mujahid Abbas ◽  
Vladimir Rakocevic ◽  
Bahru Leyew
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Continuous Solution ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Multivalued Operator ◽  
Multivalued Contractions ◽  
Rational Contraction

In this paper, the concept of (?-?)-generalized rational contraction multivalued operator is introduced and then the existence of common fixed points of such mapping in complete dislocated quasi bmetric spaces is obtained. Some examples are presented to show that the results proved herein are potential generalization and extension of comparable existing results in the literature. We also study Ulam-Hyers stability of fixed point problems of (?-?)-generalized rational contraction multivalued operator. We also obtain some common fixed point results for single and multivalued mappings in a complete dq b-metric space endowed with a partial order. As an application, the existence of a continuous solution of an integral equation under appropriate assumptions is obtained.

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