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MMN-1195

Fixed point theorems in vector metric spaces for multivalued operators

Abstract

In this work we prove some extensions of the multivalued contraction principle and of Reich's fixed point theorem for multivalued operators in vector metric spaces. We also present a theory for the multivalued contraction principle in vector metric spaces in the spirit of the approach given by I. A. Rus and A. Petrusel. Some examples and open questions are pointed out.


Vol. 16 (2015), No. 1, pp. 391-406
DOI: https://doi.org/10.18514/MMN.2015.1195


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