On monotone multivalued transformations


Buthinah A. Bin Dehaish - Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia. Mohamed A. Khamsi - Department of Mathematics \(\&\) Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. - Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, U.S.A.


In this work, we discuss the recently introduced monotone \(\tau\)-Opial condition in Banach spaces which admit a sequence of monotone approximations of the identity. Then we give a fixed point theorem for monotone multivalued nonexpansive mappings in Banach spaces satisfying the monotone \(\tau\)-Opial condition. This result generalizes those of Markin, Browder and Lami Dozo to monotone mappings.

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ISRP Style

Buthinah A. Bin Dehaish, Mohamed A. Khamsi, On monotone multivalued transformations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5321--5327

AMA Style

Bin Dehaish Buthinah A., Khamsi Mohamed A., On monotone multivalued transformations. J. Nonlinear Sci. Appl. (2017); 10(10):5321--5327

Chicago/Turabian Style

Bin Dehaish, Buthinah A., Khamsi, Mohamed A.. "On monotone multivalued transformations." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5321--5327