scholarly journals Set-Valued α-Almost Convex Mappings

1999 ◽  
Vol 233 (2) ◽  
pp. 698-712 ◽  
Author(s):  
E. Llorens-Fuster
Keyword(s):  
Convex Mappings ◽  
Almost Convex

Fixed points of nearly quasi-closed and nearly almost convex mappings

2021 ◽  
Vol 502 (1) ◽  
pp. 125236
Author(s):  
A. Amini-Harandi ◽  
M. Fakhar ◽  
H.R. Hajisharifi
Keyword(s):  
Fixed Points ◽  
Convex Mappings ◽  
Almost Convex

scholarly journals Hadamard k-fractional inequalities of Fejér type for GA-s-convex mappings and applications

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Hui Lei ◽  
Gou Hu ◽  
Zhi-Jie Cao ◽  
Ting-Song Du
Keyword(s):  
Lower Bounds ◽  
Hypergeometric Functions ◽  
Upper And Lower Bounds ◽  
Weighted Inequalities ◽  
Convex Mappings ◽  
Special Means

Abstract The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to geometrically symmetric mappings. Moreover, we give the upper and lower bounds for the weighted inequalities via products of two different mappings. Some applications of the presented results to special means are also provided.

scholarly journals New Modifications of Integral Inequalities via ℘-Convexity Pertaining to Fractional Calculus and Their Applications

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1753
Author(s):  
Saima Rashid ◽  
Aasma Khalid ◽  
Omar Bazighifan ◽  
Georgia Irina Oros
Keyword(s):  
Integral Operator ◽  
Convex Functions ◽  
Hypergeometric Functions ◽  
Fractional Integral ◽  
Type Inequality ◽  
Fractional Integral Operator ◽  
Integral Inequalities ◽  
Convex Mappings ◽  
Special Cases ◽  
Harmonically Convex Functions

Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator. A novel parameterized auxiliary identity involving generalised fractional integral is proposed for differentiable mappings. By using auxiliary identity, we derive several Ostrowski type inequalities for functions whose absolute values are ℘-convex mappings. It is presented that the obtained outcomes exhibit classical convex and harmonically convex functions which have been verified using Riemann–Liouville fractional integral. Several generalisations and special cases are carried out to verify the robustness and efficiency of the suggested scheme in matrices and Fox–Wright generalised hypergeometric functions.

Extreme points of families of analytic functions subordinate to convex mappings

1981 ◽  
Vol 176 (4) ◽  
pp. 511-519 ◽  
Author(s):  
Yusuf Abu-Muhanna ◽  
Thomas H. MacGregor
Keyword(s):  
Analytic Functions ◽  
Extreme Points ◽  
Convex Mappings

scholarly journals The bargaining set for almost-convex games

2012 ◽  
Vol 225 (1) ◽  
pp. 83-89
Author(s):  
Jesús Getán ◽  
Josep M. Izquierdo ◽  
Jesús Montes ◽  
Carles Rafels
Keyword(s):  
Convex Games ◽  
Bargaining Set ◽  
Almost Convex
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