Search results for "coincidence problem"

showing 2 items of 2 documents

Coincidence problems for generalized contractions

2014

In this paper, we establish some new existence, uniqueness and Ulam-Hyers stability theorems for coincidence problems for two single-valued mappings. The main results of this paper extend the results presented in O. Mle?ni?e: Existence and Ulam-Hyers stability results for coincidence problems, J. Non-linear Sci. Appl., 6(2013), 108-116. In the last section two examples of application of these results are also given.

Applied MathematicsMathematical analysisStability (learning theory)Discrete Mathematics and CombinatoricsApplied mathematicsUniquenessFixed pointCoincidence problemCoincidence pointAnalysisCoincidenceMathematicsApplicable Analysis and Discrete Mathematics
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Existence and uniqueness of solution to several kinds of differential equations using the coincidence theory

2015

The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for some classes of ordinary differential equations. Ministerio de Economía y Competitividad Junta de Andalucía

Equilibrium point47H09Pure mathematics34A10Differential equationGeneral MathematicsMathematical analysisBanach spaceFixed-point theoremdifferential equationsfractional derivative34A08Fixed pointUlam-Hyers stabilityfixed pointOrdinary differential equationUniquenesscoincidence problemCoincidence pointMathematics
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