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RESEARCH PRODUCT

Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation

Hamidreza RahimiGhasem Soleimani RadCalogero VetroYoung Researchers

subject

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

description

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.

yearjournalcountryeditionlanguage
2019-06-01Fixed Point Theory
https://doi.org/10.24193/fpt-ro.2019.2.42