DOI: 10.24193/fpt-ro.2021.1.14

Authors: Boshra Hosseini and Alireza Kamel Mirmostafaee

Abstract: In the present paper, we define a new class of implicit contractions for a sequence of multi-valued mappings on a metric space endowed with a graph to obtain sufficient conditions for existence of common fixed points for this sequence. This will enable us to obtain a simultaneous generalization of various types of fixed point theorems for a sequence of multi-valued mappings. Moreover, multi-fractal operators related to these contractive mappings are considered.

Key Words and Phrases: Fixed points, multi-valued mappings, graph.

2010 Mathematics Subject Classification: 47H10, 47H04, 05C40, 54H25.

Published on-line: February 1st, 2021.

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