On the existence of coupled best proximity point and best proximity point for Suzuki type alpha^+-theta-proximal multivalued mappings

Abstract

Following the study for the best proximity points of the Suzuki type α + -θ-proximal single-valued mappings given by Hussain et al., we deal with the Suzuki type α + -θ-proximal multivalued mappings satisfying generalized conditions of existence, some novel existence results of best proximity point and coupled best proximity points are established. Our results improve and extend some recent results in the previous work. c 2017 All rights reserved.Keywords: Suzuki type α + -θ-proximal multivalued mappings, coupled best proximity point, best proximity point. 2010 MSC: 47H09, 54H25.

Best Proximity Points for Alternative Maps

“…One can easily see that a cyclic map is a special case of an alternative map. Due to Fan [4], many authors publish their papers with their Best Proximity Points in [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]:…”