Some results for Monotone and Nondecreasing Operators in Partial Metric spaces

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Some results for Monotone and Nondecreasing Operators in Partial Metric spaces

Author Affiliations

¹Bhartiya college, Ujjain MP, INDIA
²Govt. Madhav science college,Ujjain, MP, INDIA
³Govt. Madhav science college,Ujjain, MP, INDIA

Res. J. Mathematical & Statistical Sci., Volume 2, Issue (2), Pages 11-15, February,12 (2014)

Abstract

In ordered partial metric spaces we introduced some fixed point results, without any type of commutativity of the concerned maps, we established coupled coincidence results. Also we give some results for nondecreasing mappings.

References

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[ref1] Matthews S.G., Partial metric topology, Ann. N.Y. Acad.Sci., 728, 183–197 In: Proc. 8th Summer Conference onGeneral Topology and Applications, (1994)
Google Scholar

[ref2] Ciric L., Samet B., Aydi H. and Vetro C., Common fixedpoints of generalized contractions on partial metricspacesand an application, Appl. Math. Comput. 218,2398–2406 (2011)
Google Scholar

[ref3] Shatanawi W., Samet B. and Abbas M., Coupled fixedpoint theorems for mixed monotone mappings in orderedpartial metric spaces, (2009)
Google Scholar

[ref4] Ilic D., Pavlovic V. and Rakocevic V., Some newextensions of Banach’s contraction principle to partialmetric spaces, Appl. Math. Lett., 24, 1326–1330 (2011)
Google Scholar

[ref5] Oltra S. and Valero O., Banach’s fixed point theorem forpartial metric spaces, Rend. Ist. Mat. Univ. Trieste, 36,17–26 (2004)
Google Scholar

[ref6] Luong N.V. and Thuan N.X., Coupled fixed point inpartially ordered metric spaces and applications, Nonlinear Anal., 74, 983–992 (2011)
Google Scholar

[ref7] O, Fixed point theorems forgeneralized contractions in ordered metric spaces, Journalof Mathematical Analysis and Applications, 341(2), 1241–1252 (2008)
Google Scholar