HYBRID PROJECTION METHODS FOR THE GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEMS.

NK Mahato, C Nahak - Journal of Advanced Mathematical …, 2013 - search.ebscohost.com
In this paper, we consider a general variational-like inequality problem. We use the
generalized relaxed a-monotonicity defined by Preda et al.[15], and KKM technique to prove …

Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities

BK Sahu, G Nguyen, G Pany, O Chadli - Optimization, 2021 - Taylor & Francis
In this paper, we define the generalized densely relaxed η− α pseudomonotonicity and
relaxed η− α quasimonotonicity, and establish the existence of solutions for generalized …

[PDF][PDF] Mixed invex equilibrium problems with generalized relaxed monotone and relaxed invariant pseudomonotone map**s

BK Sahu, S Pani, RN Mohapatra - Math. Inequal. Appl., 2020 - files.ele-math.com
In this paper, we introduce generalized relaxed monotone map**s and relaxed invariant
pseudomonotone map**s for bi-functions. By using KKM technique, we establish certain …

Equilibrium and mixed equilibrium problems on Hadamard manifolds

S Jana, C Nahak - International Journal of Mathematics in …, 2017 - inderscienceonline.com
In this paper, we study equilibrium problems and mixed equilibrium problems on Hadamard
manifolds. Using the KKM technique, we establish the existence of solutions of the stated …

A Class of Variational-Like Inequalities in Banach Spaces: Variational-Like Inequalities

RN Mohapatra, BK Sahu, S Pani - International Conference on …, 2019 - Springer
In this paper, we find some properties of generalized relaxed η-α η-α quasimonotone
map**s and generalized relaxed η-α η-α properly quasimonotone map**s. With these …

Variational Inclusions with General Over-relaxed Proximal Point and Variational-like Inequalities with Densely Pseudomonotonicity

G Nguyen - 2019 - stars.library.ucf.edu
This dissertation focuses on the existence and uniqueness of the solutions of variational
inclusion and variational inequality problems and then attempts to develop efficient …

Applications of Generalized Monotonicity to Variational-Like Inequalities and Equilibrium Problems

NK Mahato, RN Mohapatra - … Analysis and its Applications: Roorkee, India …, 2015 - Springer
In this paper, we introduce the concept of relaxed (ρ-θ)-η-invariant monotonicity to establish
the existence of solutions for variational-like inequality problems in reflexive Banach spaces …

[PDF][PDF] J. Adv. Math. Stud.

NK MAHATO, C NAHAK - fairpartners.ro
In this paper, we consider a general variational-like inequality problem. We use the
generalized relaxed α-monotonicity defined by Preda et al.,[15], and KKM technique to prove …