Search results for "dislocated metric space"

showing 2 items of 2 documents

Common Fixed Points of a Pair of Hardy Rogers Type Mappings on a Closed Ball in Ordered Dislocated Metric Spaces

2013

Common fixed point results for mappings satisfying locally contractive conditions on a closed ball in an ordered complete dislocated metric space have been established. The notion of dominated mappings is applied to approximate the unique solution of nonlinear functional equations. Our results improve several well-known conventional results.

Pure mathematicsArticle Subjectlcsh:MathematicsMathematical analysisType (model theory)Fixed pointlcsh:QA1-939Fixed point Dislocated metric space Dominated mapping.Metric spaceNonlinear systemSettore MAT/05 - Analisi MatematicaCommon fixed pointAnalysisMathematicsJournal of Function Spaces and Applications
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The Sehgal’s Fixed Point Result in the Framework of ρ-Space

2022

In this paper, we prove a fixed point theorem of Sehgal type (see Sehgal, V.M., Proc Amer Math Soc 23: 631–634, 1969) in a more general setting of ρ-space (see Secelean, N.A. and Wardowski, D., Results Math, 72: 919–935, 2017). In this way, we can find, as particular cases, some results of Sehgal type in metric, b-metric and rectangular b-metric spaces.

Sehgal theoremrectangular b-metric spacefixed pointGeneral Mathematicsstrong ρ-spaceMathematicsofComputing_GENERALQA1-939Computer Science (miscellaneous)Engineering (miscellaneous)dislocated metric spaceMathematicsMathematics
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