FIXED POINT THEOREMS FOR MAPPINGS WHICH SATISFY (HRSC)-CONDITION

Abstract

In 2008 Suzuki introduced C-condition for mappings which defined on a subset of a Banach space and presented fixed point theorems. And in 2010 Khan and Suzuki gave a reich type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach space. Also in 2013 Karapınar introduced generalized C-conditions for mappings which defined on a subset of a Banach space and proved related fixed point theorems. And then in 2015 Thakur, Singh Thahur and Postolache proved fixed point theorems for mapping which satisfy RCSC-condition. In this paper fixed point theorems for mappings spaces which satisfy (HRSC)-condition are proved.