Search results for "Nonlinear contraction"

showing 3 items of 3 documents

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
researchProduct

Fixed point results on metric and partial metric spaces via simulation functions

2015

We prove existence and uniqueness of fixed point, by using a simulation function and a lower semi-continuous function in the setting of metric space. As consequences of this study, we deduce several related fixed point results, in metric and partial metric spaces. An example is given to support the new theory.

Discrete mathematicsMetric spaceNonlinear contractionAlgebra and Number TheoryPartial metric spaceSimulation functionSettore MAT/05 - Analisi MatematicaMetric (mathematics)Fixed pointFixed pointMetric spaceAnalysisMathematics
researchProduct

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
researchProduct