1Gurukula Kangri University, Hardwar, 249404, Mailing address: (SLS) 21, Govind Nagar, Rishikesh, 249201, India. E-mail: vedicmri@gmail.com
2Dept. of Mathematics, Univ. of Wisconsin, Eu-Claire, WI-54701, USA. E-mail: chadhav@uwec.edu
Mathematics Subject Classifications (2000): 65J15, 41A25, 47H10, 54C60, 54H25.
While solving inclusions numerically by an iterative procedure, usually we follow some theoretical model and deal with an approximate numerical sequence. If the numerical sequence converges to a point anticipated by the theoretical sequence, then we say that the iterative procedure is stable. This kind of study is of vital importance in numerical praxis. The purpose of this paper is to obtain some new results on the stability of Picard iterative procedure for multivalued operators in a very general setting. Some special cases are discussed as well.
Stability of iterative procedures, fixed point, multivalued maps
