-monotone operators due to Lan, we also prove the existence theorems of the solutions and convergence theorems of the new generalized random iterative procedures with errors for this nonlinear random ( A , η )
Dilshad, H(*, *)-η-cocoercive operators and variational-like inclusions in Banach space, J.Nonlinear Sci. Appl., Vol. 5,pp. 334-344 (2012).R. Ahmad and M. Dilshad, H(*, *)-η-cocoercive operators and variational-like inclusions in Banach space, J.Nonlinear Sci. Appl., Vol. 5...
Cocoercive operatorsEuler iterationsGradient algorithmThe purpose of this work is to study discrete approximations of evolution equations governed by cocoercive operators by means of Euler iterations, both in a finite and in an infinite time horizon. On...doi:10.1007/s10957-018-1332-3...
In solving the split variational inequality problems in real Hilbert spaces, the co-coercive assumption of the underlying operators is usually required and this may limit its usefulness in many applications. To have these operators freed from the usual and restrictive co-coercive assumption, we ...
We investigate a class of new -mixed cocoercive operators in Hilbert spaces. We extend the concept of resolvent operators associated with -cocoercive operators to the -mixed cocoercive operators and prove that the resolvent operator of -mixed cocoercive operator is single valued and Lipschitz ...
-η-cocoercive operators and generalized set-valued variational-like inclusions, Journal of Mathematics, Article ID 738491 (2013), 1-10.S. Husain, S. Gupta and V.N. Mishra, Generalized H(., ., .)-η-cocoercive operators and generalized set-valued variational-like inclusions, Journal of ...
Mishra, Generalized H(*, *, *)-η-cocoercive operators and gen- eralized set-valued variational-like inclusions, Journal of Mathematics, 2013, (2013): 738491.R. Ahmad, M. Dilshad, M.-M. Wong, and J.-C. Yao, "Gener- alized set-valued variational-like inclusions involving 𝐻(., ....
perturbed iterative algorithmIn this paper, a new system of nonlinear set-valued variational-like inclusions is introduced. Using Lipschitz continuity of the generalized resolvent operator associated with general H-maximal m-relaxed 畏-monotone operators, existence and uniqueness of the solution of this ...
-η-cocoercive operators and generalized set-valued variational-like inclusions, Journal of Mathematics, vol. 2013, Article ID 738491, 2013S. Husain, S. Gupta, and V. N. Mishra, "Generalized 𝐻(⋅, ⋅, ⋅)-𝜂- cocoercive operators and generalized set-valued Variational- Like ...
B. C. Vu˜, "A splitting algorithm for dual monotone inclusions involving cocoercive operators," Adv. Comput. Math., vol. 38, pp. 667-681, 2011.B. C. Vu˜, A splitting algorithm for dual monotone inclusions involving cocoercive operators, Adv. Com- put. Math., published on-line ...