Fixed point theorems for a class of extended JS contraction mappings over a generalized metric space with an application to fixed circle problema

In this paper we prove some generalized fixed point theorems for a class of contractive mappings over an extended JS-generalized metric space. Notions of weakly sensitive and strongly sensitive coefficient functions have been used here in proving fixed point theorems. Examples are given in strengthening the hypothesis of our established theorems. Moreover an application is given to fixed circle problem.