a Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India b Department of Mathematics, Degree College Poonch, Poonch 185101, Jammu and Kashmir, India
Abstract:
In this paper, we consider a class of operator equilibrium problems (OEP for short) with operator solutions and derive a Minty type lemma for this class of problems. Further, using this lemma and KKM theorem, we establish some existence theorems for OEP. The theorems presented in this paper generalize, improve and unify many known results.
