Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems | Zendy

Mohammad Imdad | Zendy; Sunny Chauhan | Zendy

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Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems

Author(s) -

Mohammad Imdad,

Sunny Chauhan

Publication year - 2013

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2013/763261

Subject(s) - mathematics , property (philosophy) , limit (mathematics) , fixed point theorem , range (aeronautics) , metric space , limit point , fixed point property , fixed point , point (geometry) , pure mathematics , function (biology) , discrete mathematics , mathematical analysis , philosophy , materials science , geometry , epistemology , evolutionary biology , composite material , biology

The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in metric spaces satisfying an implicit function essentially due to the paper of Ali and Imdad (2008). As an application to our main result, we derive a 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 including the ones contained in the paper of Ali and Imdad (2008). We also furnish some illustrative examples to support our main results

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