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Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces

Bessem SametCalogero Vetro

subject

Pure mathematicsbusiness.industryApplied MathematicsFixed-point theoremUsabilityNonlinear contractionMulti valuedCombinatoricsMetric spaceSettore MAT/05 - Analisi MatematicaCoupled fixed point multi-valued nonlinear contraction partially ordered setbusinessPartially ordered setCoincidence pointAnalysisMathematics

description

Abstract In this paper, we establish two coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. The theorems presented extend some results due to Ciric (2009) [3] . An example is given to illustrate the usability of our results.

https://doi.org/10.1016/j.na.2011.04.007