Advances in Operator Theory

Existence theorems for attractive points of semigroups of Bregman generalized nonspreading mappings in Banach spaces

Bashir Ali, Murtala Haruna Harbau, and Lawan Haruna Yusuf

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Abstract

In this paper, we establish new attractive point theorems for semigroups of generalized Bregman nonspreading mappings in reflexive Banach spaces. Our theorems improve and extend many results announced recently in the literature.

Article information

Source
Adv. Oper. Theory, Volume 2, Number 3 (2017), 257-268.

Dates
Received: 23 November 2016
Accepted: 14 April 2017
First available in Project Euclid: 4 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.aot/1512431675

Digital Object Identifier
doi:10.22034/aot.1611-1062

Mathematical Reviews number (MathSciNet)
MR3730053

Zentralblatt MATH identifier
06770925

Subjects
Primary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.
Secondary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30] 47J20: Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40]

Keywords
Bregmann attractive point Bregman distance generalized Bregman nonspreading mapping Legendre function invariant mean

Citation

Ali, Bashir; Harbau, Murtala Haruna; Yusuf, Lawan Haruna. Existence theorems for attractive points of semigroups of Bregman generalized nonspreading mappings in Banach spaces. Adv. Oper. Theory 2 (2017), no. 3, 257--268. doi:10.22034/aot.1611-1062. https://projecteuclid.org/euclid.aot/1512431675


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