COUPLED FIXED POINTS OF MIXED MONOTONE OPERATORS ON PROBABILISTIC BANACH SPACES

Ismat Beg, Abdul Latif, Rashid Ali, Akbar Azam

                A. Latif, King Abdul Aziz University, Jeddah, SAUDI ARABIA

                R. Ali, Quaid-i-Azam University, Islamabad, PAKISTAN

                A. Azam, F.G. Post Graduate College, Islamabad, PAKISTAN

E-mail: ibeg@mcs.sci.kuniv.edu.kw
            abdul_latifn@hotmail.com

Abstract. The existence of minimal and maximal fixed points for monotone operators defined on probabilistic Banach spaces is proved.
                We obtained sufficient conditions for the existence of coupled fixed point for mixed monotone condensing multivalued operators.

AMSclassification. 47H07, 47H10, 47H04, 46S50

Keywords. Probabilistic Banach space, monotone operator, fixed point.