2019
Том 71
№ 11

All Issues

Okeke C. C.

Articles: 1
Article (English)

Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type

Izuchukwu C., Mewomo O. T., Okeke C. C.

↓ Abstract

Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1480-1501

UDC 517.9
Our main aim is to introduce an iterative algorithm for the approximation of a common solution to a split-equality problem for finite families of variational inequalities and the split equality fixed-point problem. By using our iterative algorithm, we state and prove a strong convergence theorem for the approximation of an element in the intersection of the set of solutions of the split-equality problem for finite families of variational inequalities and the set of solutions of the split equality fixed-point problem for countable families of multivalued type-one mappings of the demicontractive type. Finally, we apply our result to study related problems. Our result supplements and extends some recent results in the literature.