In this paper, we introduce a novel class of nonlinear mappings known as ϑ-strictly asymptotically pseudocontractive-type multivalued mapping (ϑ-SAPM) in a Hilbert space domain. In addition, a new method was initiated, and it was shown that this method converges strongly to the solution set of an equilibrium problem (EP) and the set of common fixed points of two finite families of type-one (ϑ-SAPM) and ϑ-strictly pseudocontractive-type multivalued mapping (ϑ-SPM). Moreover, we showed that the classes of mappings considered are independent and also presented a numerical example to illustrate the implementablity of the suggested method.
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View Article and Find Full Text PDFThis manuscript contains several new spaces as the generalizations of fuzzy triple controlled metric space, fuzzy controlled hexagonal metric space, fuzzy pentagonal controlled metric space and intuitionistic fuzzy double controlled metric space. We prove the Banach fixed point theorem in the context of intuitionistic fuzzy pentagonal controlled metric space, which generalizes the previous ones in the existing literature. Further, we provide several non-trivial examples to support the main results.
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