Split Variational Inclusion Problem and Fixed Point Problem for a Class of Multivalued Mappings in CAT(0) Spaces

M Abbas, Y Ibrahim, AR Khan, M De la Sen - Mathematics, 2019 - mdpi.com
The aim of this paper is to introduce a modified viscosity iterative method to approximate a
solution of the split variational inclusion problem and fixed point problem for a uniformly …

Best proximity point results for generalized Θ-contractions and application to matrix equations

Z Ma, A Hussain, M Adeel, N Hussain, E Savas - Symmetry, 2019 - mdpi.com
In this paper, we introduce the notion of C´ iri c´ type α-ψ-Θ-contraction and prove best
proximity point results in the context of complete metric spaces. Moreover, we prove some …

Best proximity points in partially ordered metric spaces

SA Shukri, AR Khan - Adv. Fixed Point Theory, 2018 - scik.org
The existence of best proximity point is an important aspect of optimization theory. We define
the concept of proximally monotone Lipschitzian mappings on a partially ordered metric …

STRONG CONVERGENCE OF HALPERN'S TYPE ITERATION FOR α-NONEXPANSIVE SEMIGROUP IN BANACH SPACES AND CAT (0) SPACES.

DM Oyetunbi, AR Khan - Fixed Point Theory, 2024 - search.ebscohost.com
In this paper, we establish strong convergence of the Halpern's type iteration for a
semigroup of α-nonexpansive mappings in Banach spaces. Using the concept of …

Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT (0) space with application to hyperbolical rotation matrix

L Wangwe - The Journal of Analysis, 2023 - Springer
Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT (0) space with
application to hyperbolical rotation matrix | The Journal of Analysis Skip to main content …

Existence and convergence of best proximity points in spaces

S Shukri - Journal of Fixed Point Theory and Applications, 2020 - Springer
In this work, we study existence and convergence of best proximity points of a cyclic
contraction mapping in a complete CAT _ p (0) CAT p (0) metric space, with p ≥ 2 p≥ 2 …

[PDF][PDF] Common best proximity results for multivalued proximal contractions in metric space with applications

N Hussain, AR Khan, I Iqbal - Journal of Nonlinear Sciences and …, 2016 - emis.de
The study of the best proximity points is an interesting topic of optimization theory. We
introduce the notion of α∗-proximal contractions for multivalued mappings on a complete …

GEOMETRICAL PROPERTIES OF lp SPACES.

S SHUKRI - Fixed Point Theory, 2021 - search.ebscohost.com
GEOMETRICAL PROPERTIES OF lp SPACES Page 1 Fixed Point Theory, 22(2021), No. 2,
881-886 DOI: 10.24193/fpt-ro.2021.2.57 http://www.math.ubbcluj.ro/∼nodeacj/sfptcj.html …

On non-expansivity of topical functions by a new pseudo-metric

H Barsam, H Mohebi - Arabian Journal of Mathematics, 2020 - Springer
In this paper, we first define a new pseudo-metric d on a normed linear space X. We do this
by introducing two different classes of elementary topical functions. Next, we use this pseudo …

Common best proximity results for multivalued proximal contractions in metric space withapplications.

N Hussain, AR Khan, I Iqbal - Journal of Nonlinear Sciences …, 2016 - search.ebscohost.com
The study of the best proximity points is an interesting topic of optimization theory. We
introduce the notion of α< sub>*-proximal contractions for multivalued mappings on a …