Fixed point theory for nonself generalized contractions in Kasahara spaces

Abstract

In this paper we extend some results of V. Berinde, Şt. Măruşter and I.A. Rus (Saturated contraction principles for nonself operators, generalizations and applications, Filomat, 31:11(2017), 3391-3406), which were given in metric spaces, to Kasahara spaces. Some research directions are also presented.

Keywords

• kasahara space
• nonself operator
• fixed point
• retraction
• retraction-displacement condition
• well posedness
• ostrowski’s property
• data dependence
• research directions