Viscosity explicit-type method for solving equilibrium and fixed point problems in hadamard spaces

Godwin Chidi Ugwunnadi; Chibueze Christian Okeke

Viscosity explicit-type method for solving equilibrium and fixed point problems in hadamard spaces

Godwin Chidi Ugwunnadi
, Chibueze Christian Okeke

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce explicit viscosity approximation method for finding common solution of equilibrium problem for pseudomonotone bifunction and common fixed point of generalized demimetric mappings in Hadamard space. We prove strong convergence of our propose algorithm. Using this result, we obtain new strong convergence theorems in Hadamard space. Our result generalize and complements some recent results in literature.

Original language	English
Pages (from-to)	73-96
Number of pages	24
Journal	Advances in Nonlinear Variational Inequalities
Volume	24
Issue number	1
Publication status	Published - Jan 2021
Externally published	Yes

Keywords

CAT(0) space
Equilibrium problem
Fixed point, ∆−convergence
Generalized Demimetric mapping
Strong convergence
Viscosity method

Cite this

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title = "Viscosity explicit-type method for solving equilibrium and fixed point problems in hadamard spaces",

abstract = "In this paper, we introduce explicit viscosity approximation method for finding common solution of equilibrium problem for pseudomonotone bifunction and common fixed point of generalized demimetric mappings in Hadamard space. We prove strong convergence of our propose algorithm. Using this result, we obtain new strong convergence theorems in Hadamard space. Our result generalize and complements some recent results in literature.",

keywords = "CAT(0) space, Equilibrium problem, Fixed point, ∆−convergence, Generalized Demimetric mapping, Strong convergence, Viscosity method",

author = "Ugwunnadi, \{Godwin Chidi\} and Okeke, \{Chibueze Christian\}",

year = "2021",

month = jan,

language = "English",

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AU - Ugwunnadi, Godwin Chidi

AU - Okeke, Chibueze Christian

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N2 - In this paper, we introduce explicit viscosity approximation method for finding common solution of equilibrium problem for pseudomonotone bifunction and common fixed point of generalized demimetric mappings in Hadamard space. We prove strong convergence of our propose algorithm. Using this result, we obtain new strong convergence theorems in Hadamard space. Our result generalize and complements some recent results in literature.

AB - In this paper, we introduce explicit viscosity approximation method for finding common solution of equilibrium problem for pseudomonotone bifunction and common fixed point of generalized demimetric mappings in Hadamard space. We prove strong convergence of our propose algorithm. Using this result, we obtain new strong convergence theorems in Hadamard space. Our result generalize and complements some recent results in literature.

KW - CAT(0) space

KW - Equilibrium problem

KW - Fixed point, ∆−convergence

KW - Generalized Demimetric mapping

KW - Strong convergence

KW - Viscosity method

UR - https://www.scopus.com/pages/publications/85108272692

M3 - Article

AN - SCOPUS:85108272692

SN - 1092-910X

VL - 24

SP - 73

EP - 96

JO - Advances in Nonlinear Variational Inequalities

JF - Advances in Nonlinear Variational Inequalities

IS - 1

ER -

Viscosity explicit-type method for solving equilibrium and fixed point problems in hadamard spaces

Abstract

Keywords

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