Coincidence and fixed points of nonlinear Hybrid contractions

Shyam Lal Singh, Ki Sik Ha and Yeol Je Cho

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-10

Abstract:

In this Der, we show the existence of solutions of functional equations fx ∈ sx ∩ tx and x=fx ∈ sx ∩ Tx under certain contraction and asymptotic regularity conditions, where f, S and T are single-valued and multl-valued mappings on a metric space, respectively. We also observe that MukherJee's fixed point theorem for a single-valued mapping commuting with a multl-valued mapping admits of a counterexample and suggest some modifications. While doing so, we also answer an open question raised in [I] and [2]. Moreover, our results extend and unify a multitude of fixed point theorems for multi-valued mappings.

Date: 1989
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/12/749781.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/12/749781.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:749781

DOI: 10.1155/S0161171289000281

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().