FIXED POINT THEOREMS FOR SOFT $\alpha-\psi$ CONTRACTIVE TYPE MAPPING IN SOFT METRIC SPACES

V.M.L. Hima Bindu, G.N.V. Kishore

IJPAM: Volume 114, No. 1 (2017)

Title

FIXED POINT THEOREMS FOR SOFT
$\alpha-\psi$ CONTRACTIVE TYPE MAPPING IN
SOFT METRIC SPACES

Authors

V.M.L. Hima Bindu

, G.N.V. Kishore

$^{1,2}$ Department of Mathematics
K.L. University
Vaddeswaram, Guntur, 522 502, Andhra Pradesh, INDIA

Abstract

In this paper, we introduce the notions of soft $\alpha-\psi$ -contractive mappings and cyclic soft $(\alpha,\beta)-\psi$ -contractive mappings, and the purpose of this paper to prove some fixed point theorems in soft metric space.

History

Received: October 28, 2016
Revised: January 28, 2017
Published: April 21, 2017

AMS Classification, Key Words

AMS Subject Classification: 54H25, 47H10, 54E50
Key Words and Phrases: soft metric, soft $\alpha-\psi$ contraction,cyclic soft $(\alpha,\beta)-\psi$ -contraction

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Bibliography

1: D. Molodtsov, Soft set-theory-first results, Comput. Math. Appl. 37 4-5 (1999), 19-31.
2: P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl., 44 8-9 (2002), 1077-1083.
3: S. Das and S.K. Samanta, Soft metric, Annals of Fuzzy Mathematics and Informatics, 6 1 (2013), 77-94.
4: S. Das and S.K. Samanta, Soft Real Sets, Soft Real Numbers and Their Properties, Journal of Fuzzy Mathematics, 20 3 (2012), 551-576.
5: P. Majumdar, S.K. Samanta, On soft mappings, Comput. Math. Appl., 60 9 (2010), 2666-2672.
6: M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61 7 (2011), 1786-1799.
7: M. Abbas, G. Murtaza, S. Romaguera, Soft contraction theorem, J. Nonlinear Convex Anal. 16 (2015), 423-435.
8: C.M. Chen, I.J. Lin, Fixed point theory of the soft Meir-Keeler type contractive mappings on a complete soft metric space, Fixed Point Theory Appl. (2015), 184.
9: S. Alizadeh, F. Moradlou, P. Salimi , Some fixed point results for $(\alpha,\beta)-(\psi,\phi)$ -contractive mappings, Filomat 28 3 (2014), 635-647.
10: M.I. Yazar, C.Gunduz, S. Bayramovc, Fixed Point Theorems of Soft Contractive Mappings, Filomat 30 2 (2016), 269-279, doi: https://doi.org/10.2298/FIL1602269Y.
11: P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555-562.
12: B. Samet, C. Vetro, and P. Vetro, Fixed Point Theorems for $\alpha-\psi$ -contractive Type Mappings, Nonlinear Analysis: Theory, Methods and Applications, 75 4, (2012), 2154-2165.

How to Cite?

DOI: 10.12732/ijpam.v114i1.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 1
Pages: 41 - 53

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