0000000000956222

AUTHOR

Ghasem Soleimani Rad

showing 2 related works from this author

Some common fixed point results for weakly compatible mappings in cone metric type space

2013

In this paper we consider cone metric type spaces which are introduced as a generalization of symmetric and metric spaces by Khamsi and Hussain in 2010. Then we prove several common fixed point for weakly compatible mappings in cone metric type spaces. All results are proved in the settings of a solid cone, without the assumption of continuity of the mappings.

Numerical AnalysisPure mathematicsControl and OptimizationAlgebra and Number TheoryWeakly compatibleType (model theory)Space (mathematics)Cone (topology)Settore MAT/05 - Analisi MatematicaMetric (mathematics)Common fixed pointDiscrete Mathematics and Combinatoricscone metric type space common fixed point coincidence point weakly compatible mappings solid coneAnalysisMathematics
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Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation

2019

We consider the notion of generalized c-distance in the setting of ordered cone b-metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some theorems of the existing literature. In particular, we refer to the results of Sintunavarat et al. [W. Sintunavarat, Y.J. Cho, P. Kumam, Common fixed point theorems for c-distance in ordered cone metric spaces, Comput. Math. Appl. 62 (2011) 1969-1978]. Some examples and an application to nonlinear fourth-order differential equation are given to support the theory.

Partially ordered setDifferential equationApplied MathematicsMathematical analysisgeneralized c-distanceFixed pointordered cone b-metric spaceComputational MathematicsNonlinear systemFourth orderfixed pointSettore MAT/05 - Analisi MatematicaAnalysisMathematicsFixed Point Theory
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