Fixed Point Theorems for Set-valued Mappings under Contractive Condition in Quasi-metric Spaces

@inproceedings{KOLAGAR2015FixedPT,
  title={Fixed Point Theorems for Set-valued Mappings under Contractive Condition in Quasi-metric Spaces},
  author={S. MOHSENI KOLAGAR and Yeol Je Cho and Hamid Baghani},
  year={2015}
}
In this paper, we introduce the concept of a generalized weak contraction for set–valued mappings defined on quasi-metric spaces. We show the existence of fixed points for generalized weakly contractive set–valued mappings. Indeed, we have a generalization of Nadler’s fixed point theorem and Banach’s fixed point theorem in quasi-metric spaces and, further… CONTINUE READING