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Clearly, the random fuzzy mapping include multi-valued mappings, random multi-valued mappings, and fuzzy mappings as special cases.
We also presentsome relation of multivalued mappings and fuzzy mappings.
The proof of the following corollary illustrates a link between multivalued mappings and fuzzy mappings.
Finally, we related the results to a fixed point for multivalued mappings and fuzzy mappings.
We also give examples to support our results, and applications relating the results to a fixed point for multivalued mappings and fuzzy mappings are studied.
Finally, we showed some relation of multivalued mappings and fuzzy mappings, whichcan be utilized to derive fixed point for multivalued mappings.
Similar(52)
The problem (3.1) is called the general nonlinear random A-maximal m-relaxed η-accretive equation with random relaxed cocoercive mappings and random fuzzy mappings in Banach spaces.
At the present article, we consider a new class of general nonlinear random A- maximal m-relaxed η-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces.
We also verify that the approximate solutions obtained by the our proposed algorithm converge to the exact solution of the general nonlinear random A-maximal m-relaxed η-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces.
At the present article, inspired and motivated by recent researches in this field, we shall introduce and study a new class of general nonlinear random A-maximal m-relaxed η-accretive (so called (A, η -accretive [52]) equations with random relaxed cocoercive mappings and random fuzzy mappings in Banach spaces.
For instance, in 2002, Gregori and Sapena [5] have introduced a kind of contractive mappings and proved fuzzy fixed point theorems in GV-spaces and KM-spaces by using a strong condition for completeness, now called the completeness in the sense of Grabiec or G-completeness, which can be considered a fuzzy version of the Banach contraction theorem.
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