Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).

In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.

In this paper we consider continuity of the set of fixed points and approximate fixed points for parameterized set-valued mappings. Continuity properties are provided for the fixed points of general multivalued mappings, with additional results shown for contraction mappings. Further analysis is provided for the continuity of the approximate fixed points of set-valued functions. Additional resu...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...