TWO FIXED POINT THEOREMS IN ORBITALLY COMPLETE GENERALIZED METRIC SPACE

  • Salwa Salman Abd Dep. of Math. - Coll. of Eduction\Ibn Al- Haithm, - Baghdad Univ.
  • Alaa Abd-ullah Dep. of Math. - Coll. of Eduction\Ibn Al- Haithm, - Baghdad Univ.
Keywords: generalized metric space, fixed point, orbitally complete, locally contractive mapping, Ñ” -chainabl

Abstract

The aim of this paper is to prove two results about the existence of unique fixed point for self mappings defined on an orbitally complete, (or, on an orbitally complete chainable) generalized metric space.These results based up on general contraction mapping and locally general contraction mapping which include some known results as corollaries. Therefore, our results unify and extend the results in Das[1], Das and Day[2] and C’iri’c[4].

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Published
2017-08-27
How to Cite
Abd, S. S., & Abd-ullah, A. (2017). TWO FIXED POINT THEOREMS IN ORBITALLY COMPLETE GENERALIZED METRIC SPACE. Al-Qadisiyah Journal of Pure Science, 17(4), 142-155. Retrieved from https://journalsc.qu.edu.iq/index.php/JOPS/article/view/487
Issue
Vol 17 No 4 (2012)
Section
Articles

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