6533b7dafe1ef96bd126eb92

RESEARCH PRODUCT

Fuzzy fixed points of generalized F2-geraghty type fuzzy mappings and complementary results

Ornella RizzoCalogero VetroBasit AliMujahid Abbas

subject

Fuzzy mappingSorting algorithmFuzzy classificationMathematics::General MathematicsFuzzy mappingFuzzy fixed pointlcsh:Analysis02 engineering and technologyType (model theory)01 natural sciencesFuzzy logicfuzzy fixed point fuzzy mapping sorting algorithmSettore MAT/05 - Analisi Matematica0202 electrical engineering electronic engineering information engineeringFuzzy number0101 mathematicsMathematicsDiscrete mathematicsSorting algorithmApplied Mathematicslcsh:QA299.6-433010101 applied mathematicsFuzzy mathematicsFuzzy set operations020201 artificial intelligence & image processingAnalysis

description

The aim of this paper is to introduce generalized F2-Geraghty type fuzzy mappings on a metric space for establishing the existence of fuzzy fixed points of such mappings. As an application of our result, we obtain the existence of common fuzzy fixed point for a generalized F2-Geraghty type fuzzy hybrid pair. These results unify, generalize and complement various known comparable results in the literature. An example and an application to theoretical computer science are presented to support the theory proved herein. Also, to suggest further research on fuzzy mappings, a Feng–Liu type theorem is proved.

10.15388/na.2016.2.9http://hdl.handle.net/10447/220455