Common n-tupled fixed point results for multivalued hybrid pair of mappings under new condition

Bhavana Deshpande; Shamim Ahmad Thoker

doi:https://doi.org/10.14445/22315373/IJMTT-V50P505

International Journal of Mathematics Trends and Technology

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Volume 50 | Number 1 | Year 2017 | Article Id. IJMTT-V50P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P505

Common n-tupled fixed point results for multivalued hybrid pair of mappings under new condition

Bhavana Deshpande, Shamim Ahmad Thoker

Abstract

We introduce the concept of (EA) property and occasionally wcompatibility for hybrid pair g : X ! X and F : Xn ! 2 X: We also give some common ntupled Öxed point results for this hybrid pair of mappings. It is to be noted that in our results neither condition of continuity is necessary for any mapping nor the completeness of space is necessary involved there in. Finally an example is also given to validate our results. We extend and generalize several known resu

Keywords

n-tupled .xed point, n-tupled coincidence point, (EA) property, w-compatibility, occasionally w-compatibility, weak Ψ-φ contraction.

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Citation :

Bhavana Deshpande, Shamim Ahmad Thoker, "Common n-tupled fixed point results for multivalued hybrid pair of mappings under new condition," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 1, pp. 31-47, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P505