Fixed Point Theorems for Generalized $(\psi,\phi)$-contractive Mappings in a Complete Strong Fuzzy Metric Space


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Authors

  • K. K. M. Sarma Department of Mathematics, Andhra University, Viskapatnam, (A.P), India
  • Yohannes Gebru Department of Mathematics, Andhra University, Viskapatnam, (A.P), India

Keywords:

Strong fuzzzy metric space, generalized $(\psi,\phi)-$contractive mappings, generalized $(\psi,\phi)-$ contractive for a pair of mappings

Abstract

In this paper, we introduce generalized $(\psi,\phi)$-contractive mapping in strong fuzzy metric spaces and prove fixed point theorems to this class of maps. Further we introduce a generalized $(\psi,\phi)$-contractive mapping $f$ with respect a mapping $g$ and prove common fixed point theorems. We provide examples in support of our results.

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Published

30-12-2017

How to Cite

K. K. M. Sarma, & Yohannes Gebru. (2017). Fixed Point Theorems for Generalized $(\psi,\phi)$-contractive Mappings in a Complete Strong Fuzzy Metric Space. International Journal of Mathematics And Its Applications, 5(4 - F), 923–938. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1355

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Section

Research Article