Communications in Optimization Theory

7

Authors: RAMESH BHINDE, V.K. GUPTA, ARIHANT JAIN

In this paper is to prove a common fixed point theorem for four mappings using the notion of compatibility and sub sequentially continuity in Menger space.

8

Authors: TIRTH RAM

In this work, we intend to present existence results for solutions of generalized operator vector quasivariational inequalities involving multi-valued mapping in topological vector spaces both under compact and noncompact assumptions by employing 1-person game theorems. The results of this paper generalize and unify the corresponding results of several authors and can be considered as a significant extension of the previously known results.

13

Authors: E. O. EFFANGA, V. I. OKPARA

This paper extends the conventional LINMAP model to the Minkowski distance metric of order 3 for the simultaneous determination of the ideal points and weights for the optimal estimation of utility functions by Decision Makers. The algorithm for solution of the extended LINMAP model is developed, and numerical examples are presented to demonstrate the applicability of the extended model. The result shows that Minkowski distance metric gives a more accurate and distinctive ranking of alternatives than the Euclidean distance metric.

16

Authors: SUN YOUNG CHO

In this paper, fxed points of generalized asymptotically quasi-phi-nonexpansive mappings and equilibrium problems are investigated based on a monotone projection algorithm. Strong convergence theorems are established without the aid of compactness in the framework of reexive Banach spaces.