Keywords:-

Keywords: Fix point, Menger space, Compatibility, subsequently continuity.

Article Content:-

Abstract

In this paper is to prove a common fixed point theorem for four mappings using the notion of compatibility and sub sequentially continuity in Menger space.

References:-

References

Al-ThagaM.A. and ShahzadN. , Generalized I-nonexpansiveselfmaps and invariant

approximations, Acta Math. Sinica24(5) (2008), 867-876.

BouhadjeraH. andGodet-ThobieC., Common fixed theorems for pairs of

subcompatible maps, arXiv:0906.3159v1[math.FA] 17 June (2009) [Old version].

BouhadjeraH. andGodet-ThobieC., Common fixed theorems for pairs of

subcompatible maps, arXiv:0906.3159v2 [math.FA] 23 May (2011) [New version].

ChauhanS. and KimJ.K., Common fixed point theorems for compatible and

subsequentially continuous mappingsin Menger spaces, Nonlinear Functional Anal.

Appl. 18(2) (2013), 177-192.

ChauhanS. and KumarS., Common fixed point theorems for compatible and

subsequentially continuous mappings in fuzzy metric spaces, Kragujevac J. Math.

(2) (2012), 225-235.

DoricD., KadelburgZ. andRadenovicS., A note on occasionally weakly compatible

mappings and common fixed point, Fixed Point Theory 13(2) (2012), 475-480.

ImdadM., AliJ. andTanveerM., Remarks on some recent metrical fixed point

theorems, Appl. Math. Lett.24(7) (2011), 1165-1169.

Jungck G., Compatible mappings and common fixed points,Internat. J. Math.

Math.Sci.,9 (1986), 771-779. 9. Jungck G., Rhoades B.E., Fixed points for set valued functions without continuity,

Indian J. Pure Appl. Math. 29 (1998) 227–238.

JungckG. and RhoadesB.E., Fixed point theorems for occasionally weakly compatible

mappings, Fixed Point Theory, 7(2) (2006), 286-296.

Menger K., Statistical metrics, Proc. Nat. Acad. Sci. USA 28 (1942) 535–537.

Mishra S.N., Common fixed points of compatible mappings in PM-spaces, Math.

Japon.,36(1991), 283-289. 13. PantR.P., Common fixed points of four mappings, Bull. Cal. Math. Soc., 90(4) (1998),

-286.

Schweizer B., Sklar A., Statistical metric spaces, Pacific J. Math. 10 (1960) 313–

9.

Sehga V. M. and Bharucha-Reid A. T., Fixed points of contractionmappings on

probabilistic metric spaces, Math. Systems Theory 6 (1972), 97–102.

Singh B. and Jain S., A fixed point theorem in Menger space through weak

compatibility, J.Math. Anal. Appl., 301(2005), 439-448.

Downloads

Citation Tools

How to Cite
Gupta, V., Jain, A., & Bhinde, R. (2015). Fixed Point Theorems In Mengerspace Using The Notion Of Compatibility And Sub Sequentially Continuity. International Journal Of Mathematics And Computer Research, 3(04), 948-953. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/98