Search results for "Least fixed point"

showing 2 items of 12 documents

Fixed point theorems in generalized partially orderedG-metric spaces

2010

In this paper, we consider the concept of a $\Omega$-distance on a complete partially ordered G-metric space and prove some fixed point theorems.

Least fixed pointCombinatoricsPure mathematicsMetric spaceSettore MAT/05 - Analisi MatematicaModeling and SimulationFixed point theorem G-metric spaces $\Omega$-distanceFixed-point theoremSpace (mathematics)Fixed-point propertyComputer Science ApplicationsMathematicsMathematical and Computer Modelling
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Best proximity point results for modified α-proximal C-contraction mappings

2014

First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces. Finally, as consequences of these results, we deduce best proximity point theorems in metric spaces endowed with a graph and in partially ordered metric spaces. Moreover, we present an example and some fixed point results to illustrate the usability of the obtained theorems. MSC:46N40, 46T99, 47H10, 54H25.

Pure mathematicsInjective metric spaceApplied Mathematicsmetric spacebest proximity pointFixed pointTopologyConvex metric spaceIntrinsic metricLeast fixed pointMetric spacefixed pointSettore MAT/05 - Analisi MatematicaMetric mapGeometry and TopologyCoincidence pointMathematicsFixed Point Theory and Applications
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