Research Article

Common Fixed Point Theorem for Compatible Maps of Type (β) and Type (α) using Integral Type Mapping

by  M. Ramana Reddy
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 165 - Issue 10
Published: May 2017
Authors: M. Ramana Reddy
10.5120/ijca2017913651
PDF

M. Ramana Reddy . Common Fixed Point Theorem for Compatible Maps of Type (β) and Type (α) using Integral Type Mapping. International Journal of Computer Applications. 165, 10 (May 2017), 1-3. DOI=10.5120/ijca2017913651

                        @article{ 10.5120/ijca2017913651,
                        author  = { M. Ramana Reddy },
                        title   = { Common Fixed Point Theorem for Compatible Maps of Type (β) and Type (α) using Integral Type Mapping },
                        journal = { International Journal of Computer Applications },
                        year    = { 2017 },
                        volume  = { 165 },
                        number  = { 10 },
                        pages   = { 1-3 },
                        doi     = { 10.5120/ijca2017913651 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2017
                        %A M. Ramana Reddy
                        %T Common Fixed Point Theorem for Compatible Maps of Type (β) and Type (α) using Integral Type Mapping%T 
                        %J International Journal of Computer Applications
                        %V 165
                        %N 10
                        %P 1-3
                        %R 10.5120/ijca2017913651
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we prove a common fixed point theorem for compatible map of type (β) in Fuzzy 2- metric space.

References
  • Branciari. A. A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 29 (2002), no. 9, 531-536.
  • Cho Y.J., Fixed points in fuzzy metric spaces, J. Fuzzy Math. 5 (4) (1997) 949-962.
  • Grabiec M. , Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988) 385-389. http://dx.doi.org/10.1016/0165-0114(88)90064-4.
  • Mishra, S. N.: Common fixed points of compatible mappings in PM –spaces, Math. Japon., 36(2) (1991), 283 – 289.
  • Vasuki R.,A common fixed point theorem in a fuzzy metric space, Fuzzy Sets and Systems 97 (1998) 395-397.http://dx.doi.org/101016/S0165-0114(96)00342-9.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Fuzzy 2- metric space G- Cauchy sequence Weakly compatible point of coincidence complete metric space

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