%0 Journal Article %T Coincidence points of generalized multivalued \((f,L)\)-almost \(F\)-contraction with applications %A Abbas, Mujahid %A Ali, Basit %A Romaguera, Salvador %J Journal of Nonlinear Sciences and Applications %D 2015 %V 8 %N 6 %@ ISSN 2008-1901 %F Abbas2015 %X Recently Abbas [M. Abbas, Coincidence points of multivalued \(f\)-almost nonexpansive mappings, Fixed Point Theory, 13 (1) (2012), 3-10] introduced the concept of \(f\)-almost contraction which generalizes the class of multivalued almost contraction mapping and obtained coincidence point results for this new class of mappings. We extend this notion to multivalued \(f\)-almost \(F\)-contraction mappings and prove the existence of coincidence points for such mappings. As a consequence, coincidence point results are obtained for generalized multivalued \(f\)-almost \(F\)-nonexpansive mappings which assume closed values only. Related common fixed point theorems are also proved. In the last section, applications of our results in dynamic programming and integral equations to show the existence and uniqueness of solutions are obtained. We present some remarks to show that our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature. %9 journal article %R 10.22436/jnsa.008.06.03 %U http://dx.doi.org/10.22436/jnsa.008.06.03 %P 919--934 %0 Journal Article %T Coincidence Points of Multivalued f-Almost Nonexpansive mappings %A M. Abbas %J Fixed Point Theory %D 2012 %V 13 %F Abbas2012 %0 Journal Article %T Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces %A M. Abbas %A B. Ali %A S. Romaguera %J Abstr. Appl. Anal. %D 2014 %V 2014 %F Abbas2014 %0 Journal Article %T Fixed and periodic points of generalized contractions in metric spaces %A M. Abbas %A B. Ali %A S. 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