A fixed point theorem in non-Archimedean asymmetric normed linear spaces

Jointly with H.-P. K¨unzi we started investigating a concept of spherical completeness in ultra-quasipseudometric spaces which we called q-spherical completeness. In this article we study fixed point theorems in a space X endowed with a non-Archimedean asymmetric norm structure. Here we extend certain results of Petalas and Vidalis and Kirk and Shahzad.

Country

South Africa

Related Organizations

North-West University
South Africa

Keywords

non- Archimedean normed linear space, Spherically complete, fixed points, q-spherically complete

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