0000000000757291

AUTHOR

Zoran Kadelburg

showing 2 related works from this author

Common fixed points of g-quasicontractions and related mappings in 0-complete partial metric spaces

2012

Abstract Common fixed point results are obtained in 0-complete partial metric spaces under various contractive conditions, including g-quasicontractions and mappings with a contractive iterate. In this way, several results obtained recently are generalized. Examples are provided when these results can be applied and neither corresponding metric results nor the results with the standard completeness assumption of the underlying partial metric space can. MSC:47H10, 54H25.

0-complete spaceDiscrete mathematicsInjective metric spaceApplied Mathematicspartial metric space010102 general mathematicsquasicontraction.common fixed pointEquivalence of metrics01 natural sciencesIntrinsic metricConvex metric space010101 applied mathematicsMetric spacefixed pointSettore MAT/05 - Analisi MatematicaMetric (mathematics)Geometry and Topology0101 mathematicsMetric differentialFisher information metricMathematicsFixed Point Theory and Applications
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Fixed point theorems for non-self mappings in symmetric spaces under φ-weak contractive conditions and an application to functional equations in dyna…

2014

In this paper, we prove some common fixed point theorems for two pairs of non-self weakly compatible mappings enjoying common limit range property, besides satisfying a generalized phi-weak contractive condition in symmetric spaces. We furnish some illustrative examples to highlight the realized improvements in our results over the corresponding relevant results of the existing literature. We extend our main result to four finite families of mappings in symmetric spaces using the notion of pairwise commuting mappings. Finally, we utilize our results to discuss the existence and uniqueness of solutions of certain system of functional equations arising in dynamic programming.

Discrete mathematicsPure mathematicsApplied Mathematics010102 general mathematicsFixed-point theoremcommon fixed pointweakly compatible mappingSymmetric space01 natural sciences010101 applied mathematicsDynamic programmingComputational MathematicsRange (mathematics)Settore MAT/05 - Analisi MatematicaSymmetric spacePairwise comparisonLimit (mathematics)Uniqueness0101 mathematicscommon limit range propertyCoincidence pointMathematicsApplied Mathematics and Computation
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