Coincidence and fixed points for hybrid strict contractions

By Tayyab Kamran. 2004

131 citations recorded by the source corpus.

Abstract We define the property ( E . A ) for single-valued and multivalued mappings and introduce the notion of T-weak commutativity for a hybrid pair ( f , T ) of single-valued and multivalued maps. We obtain some coincidence and fixed point theorems for this class of maps and derive, as application, an approximation theorem.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/bcb826fe75f2f543ef10f372687f9f38e5dbcb0d

Citations in the corpus

• Coincidences and Fixed Points of Hybrid Contractions (2008, unknown): “For a history of the fundamental work on this line, refer to Singh and Mishra [37], and for more recent work on this line Beg and Azam [1], Jungck and Rhoades [12], Kamran [13], Kaneko [15], Kaneko and Sessa [16], Liu, Wu, and Li [20], Mishra, Singh and Talwar [22], Naidu [24], Pathak et al. [26], P”
• Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type (2011, unknown): “A) in Kamran [21,22] and Sintunavarat and Kumam [23].”