Geodesic
Common $e$-soft fixed points of soft set-valued maps
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1.

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Recently, a new type of set-valued mapping called soft set-valued map was introduced in the literature as a generalization of the concepts of fuzzy set-valued and multi-valued mappings. This present article extends the new notion by establishing, among others, the idea of common $e$-soft fixed point of soft set-valued maps. From application point of view, one of our obtained results is employed to establish novel sufficient conditions for the existence of fuzzy number-valued solution of fuzzy Volterra integral equation. Non-trivial examples are further provided to support the hypotheses of our results. The presented idea herein includes several fixed point theorems on point-to-point and point-to-set valued mappings as consequences. A few of these special cases are highlighted and discussed.
Publié le :
DOI : 10.30755/NSJOM.09872
Classification : 46S40, 47H10, 54H25, 34A12
Keywords: fuzzy set, fuzzy number, fuzzy integral equation, soft set, soft set-valued map, $e$-soft fixed point, common $e$-soft fixed point 
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     author = {Akbar Azam and Mohammed Shehu Shagari},
     title = {Common $e$-soft fixed points of soft set-valued maps},
     journal = {Novi Sad Journal of Mathematics},
     pages = {61 - 77},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2021},
     doi = {10.30755/NSJOM.09872},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09872/}
}
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Akbar Azam; Mohammed Shehu Shagari. Common $e$-soft fixed points of soft set-valued maps. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1. doi : 10.30755/NSJOM.09872. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09872/

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