فهرست مطالب mohd iqbal

In this paper, we examine the perturbed absolute value variational inequalities (PAVVI), a new class of variational inequalities. For the (PAVVI), some new merit functions are established. We develop the error bounds for (PAVVI) using these merit functions. The results presented here recapture a number of previously established findings in the relevant fields because (PAVVI) include variational inequalities, the absolute value complementarity problem, and systems of absolute value equations as special cases.

This paper deals with the generalized H(.,.,.,.)-φ-η-cocoercive operator and use its application via resolvent equation approach to solve the variational-like inclusion involving infinite family of set-valued mappings in semi-inner product spaces. Applying the generalized resolvent operator tech- nique involving generalized H(.,.,.,.)-φ-η-cocoercive operator, an equivalence between the set-valued variational-like inclusion problem and fixed point problem is established. A relationship between the set-valued variational-like inclusion problem and resolvent equation is also established. Using this equivalent formulation an iterative algorithm is developed that approximate the unique solution of the resolvent equation.