Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications

Coincidence and common fixed point theorems for a class of Suzuki hybrid contractions involving two pairs of single-valued and multivalued maps in a metric space are obtained. In addition, the existence of a common solution for a certain class of functional equations arising in a dynamic programming is also discussed.The authors thank the referees for their deep understanding, appreciation, and suggestions to improve upon the original typescript. They are also thankful to the Spanish Government for its support of this research through Grant DPI2012-30651, and to the Basque Government for its support of this research trough Grants IT378-10 and SAIOTEK S-PE12UN015. Further, they acknowledge the financial support by the University of Basque Country through Grant UFI 2011/0