Common New Fixed Point Theorem in Modified Intuitionistic Fuzzy Metric Spaces Using Implicit Relation - Applied Mathematics

AM > Vol.4 No.9, September 2013

Applied Mathematics

Volume 4, Issue 9 (September 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Common New Fixed Point Theorem in Modified Intuitionistic Fuzzy Metric Spaces Using Implicit Relation ()

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DOI: 10.4236/am.2013.49A005 4,049 Downloads 6,515 Views Citations

Author(s)

Saurabh Manro, Sumitra

Affiliation(s)

Department of Mathematics, Faculty of Science, Jazan University, Jazan, KSA.
School of Mathematics and Computer Applications, Thapar University, Patiala, India.

ABSTRACT

In this paper, we prove some common fixed point theorems for two pair of compatible and subsequentially continuous mappings satisfying an implicit relation in Modified Intuitionistic fuzzy metric spaces. Consequently, our results improve and sharpen many known common fixed point theorems available in the existing literature of metric fixed point theory.

KEYWORDS

Modified Intuitionistic Fuzzy Metric Space; Compatible Mappings; Subcompatible Mappings;Subsequential Continuous Mappings; Reciprocal Continuity; Implicit Relation

Share and Cite:

S. Manro and S. , "Common New Fixed Point Theorem in Modified Intuitionistic Fuzzy Metric Spaces Using Implicit Relation," Applied Mathematics, Vol. 4 No. 9A, 2013, pp. 27-31. doi: 10.4236/am.2013.49A005.

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