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RESEARCH PRODUCT

Unified Metrical Common Fixed Point Theorems in 2-Metric Spaces via an Implicit Relation

Sunny ChauhanMohammad ImdadCalogero Vetro

subject

Discrete mathematicsLeast fixed point2-metric space common property (E.A) common limit range property weakly compatible mappings implicit relations fixed point.Metric spaceSchauder fixed point theoremArticle SubjectSettore MAT/05 - Analisi MatematicaFixed-point theoremType (model theory)Fixed-point propertyCoincidence pointFinite setMathematics

description

We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.

yearjournalcountryeditionlanguage
2013-06-20Journal of Operators
https://doi.org/10.1155/2013/186910