Search results for " nonlinear contraction"

showing 2 items of 2 documents

Nonlinear contractions involving simulation functions in a metric space with a partial order

2015

Very recently, Khojasteh, Shukla and Radenovic [F. Khojasteh, S. Shukla, S. Radenovic, Filomat, 29 (2015), 1189-1194] introduced the notion of Z-contraction, that is, a nonlinear contraction involving a new class of mappings namely simulation functions. This kind of contractions generalizes the Banach contraction and unifies several known types of nonlinear contractions. In this paper, we consider a pair of nonlinear operators satisfying a nonlinear contraction involving a simulation function in a metric space endowed with a partial order. For this pair of operators, we establish coincidence and common fixed point results. As applications, several related results in fixed point theory in a …

Metric spaceNonlinear systemAlgebra and Number TheorySettore MAT/05 - Analisi MatematicaMathematical analysispartial order nonlinear contraction coincidence point common fixed point simulation functionOrder (group theory)AnalysisMathematicsJournal of Nonlinear Sciences and Applications
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Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces

2011

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.

Pure mathematicsbusiness.industryApplied MathematicsFixed-point theoremUsabilityNonlinear contractionMulti valuedCombinatoricsMetric spaceSettore MAT/05 - Analisi MatematicaCoupled fixed point multi-valued nonlinear contraction partially ordered setbusinessPartially ordered setCoincidence pointAnalysisMathematicsNonlinear Analysis: Theory, Methods & Applications
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