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In this paper we give some corresponding results to Perov’sfixed point theorem which was given in a complete generalized metricspace. Our results will be given in a more general space, the so calledgeneralized Kasahara space. We will also use the case of multivaluedoperators and give some fixed point results for multivalued Kannan,Reich and Caristi operators.

Mathematics Subject Classification (2010): 47H10, 54H25.

Keywords: Fixed point, generalized Kasahara space, multivalued mapping,matrix convergent to zero, sequence of successive approximations.