Browsing by Author "Selah, Muberra"

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Approximate Controllability Result for Backward Stochastic Evolution Inclusions in Hilbert Spaces
(Hacettepe Univ, Fac Sci, 2025) Temel, Cesim; Selah, Muberra
In this paper, we study semilinear backward stochastic evolution inclusion systems in Hilbert spaces. First, we prove the existence of mild solution of the semilinear backward stochastic evolution inclusion systems using a multivalued fixed point theorem. Then, we obtain the approximate controllability result for semilinear backward stochastic evolution inclusion systems through the linear systems corresponding to these semilinear backward stochastic evolution inclusion systems under appropriate conditions. In particular, our study extends the results of the concept of approximate controllability to backward stochastic evolution inclusion systems.
Some Fixed Point Theorems for Multivalued Krasnosel'skii-type Equations Under Weak Topology
(Univ Prishtines, 2024) Temel, Cesim; Selah, Muberra
. In this paper, using the approximation method and the technique of weak noncompactness, we obtain some results regarding the existence of the solution for the sum of a multivalued operator and a single-valued operator in the weak topology. In addition, an application of integral inclusion is presented that explains our theory. This study extends some previously known single-valued Krasnosel'skii-type theorems to multivalued versions under weak topology.
Some Fixed Points Results for Sum of Generalized Contractive Multivalued Mappings
(Springernature, 2024) Temel, Cesim; Selah, Muberra
In this paper, we establish new fixed point results for sum of two linear multivalued mappings that satisfy generalized contractive condition and then we give some examples that embody our results. Finally, an application that investigates the existence result for some integral inclusions is presented.