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Displaying similar documents to “Fixed point results for multi-valued non-expansive mappings on an unbounded set.”

Some surjectivity theorems with applications

H. K. Pathak, S. N. Mishra (2013)

Archivum Mathematicum

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In this paper a new class of mappings, known as locally λ -strongly φ -accretive mappings, where λ and φ have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly φ -accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally λ -strongly φ -accretive mappings by using Caristi-Kirk fixed point theorem. In the sequel, we introduce...