Fixed fuzzy points of generalized Geraghty type fuzzy mappings on complete metric spaces

Authors

  • B. Ali Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0002, Pretoria South Africa
  • M. Abbas Department of Mathematics and Applied Mathematics, University of Pre- toria, Hatfield, Pretoria, South Africa
Abstract:

Generalized Geraghty type fuzzy mappings oncomplete metric spaces are introduced and a fixed point theorem thatgeneralizes some recent comparable results for fuzzy mappings incontemporary literature is obtained. Example is provided to show thevalidity of obtained results over comparable classical results for fuzzymappings in fixed point theory. As an application, existence of coincidencefuzzy points and common fixed fuzzy points for hybrid pair of single valuedself mapping and a fuzzy mapping is also established.

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Journal title

volume 12  issue 4

pages  133- 146

publication date 2015-08-30

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