COMMON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS VIA CONE-VALUED MEASURE OF NONCOMPACTNESS

被引：0

作者：

Vo Viet Tri ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam

[2] Natl Univ Ireland, Sch Math & Stat Sci, Galway, Ireland

来源：

FIXED POINT THEORY | 2022年 / 23卷 / 02期

关键词：

Multivalued equations; common fixed point; measure of noncompactness; semi-weakly isotone; condensing mutivalued mapping; SPACES; CONTRACTIONS;

D O I：

10.24193/fpt-ro.2022.2.18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain common fixed point theorems for a pair of condensing multivalued mappings with respect to a cone-valued measure of noncompactness under a semi-weakly isotone condition, and we apply it to the system of multivalued differential equations with deviating argument of the form x(l) (t) is an element of f [t; x(t); x(h(t))] and (0.1) x(l) (t) is an element of g [t; x(t); x(h(t))]; x(0) = x(0); t is an element of [0; b]. (0.2)

引用

页码：729 / 739

页数：11

共 50 条

[1] FIXED POINT THEOREMS VIA CONE-NORMS AND CONE-VALUED MEASURES OF NONCOMPACTNESS
Nguyen Bich Huy
Nguyen Huu Khanh
Vo Viet Tri
[J]. FIXED POINT THEORY, 2016, 17 (02): : 349 - 357
[2] COMMON FIXED POINT THEOREMS VIA MEASURE OF NONCOMPACTNESS
Khodabakhshi, Neda
Vaezpour, S. Mansour
[J]. FIXED POINT THEORY, 2016, 17 (02): : 381 - 386
[3] ON DIFFERENT TYPE OF FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS VIA MEASURE OF NONCOMPACTNESS
Bouzara, Nour El Houda
Karakaya, Vatan
[J]. ADVANCES IN OPERATOR THEORY, 2018, 3 (02): : 326 - 336
[4] COMMON FIXED-POINT THEOREMS FOR MULTIVALUED MAPPINGS
KHAN, MS
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1981, 95 (02) : 337 - 347
[5] Common fixed point of single valued and multivalued mappings
Chaker W.
Jeribi A.
[J]. Afrika Matematika, 2014, 25 (3) : 617 - 622
[6] Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
T. Domínguez Benavides
P. Lorenzo Ramírez
[J]. Journal of Fixed Point Theory and Applications, 2021, 23
[7] Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
Dominguez Benavides, T.
Lorenzo Ramirez, P.
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (03)
[8] SINGLE-VALUED MAPPINGS, MULTIVALUED MAPPINGS AND FIXED-POINT THEOREMS
ITOH, S
TAKAHASHI, W
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 59 (03) : 514 - 521
[9] Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness
Cardinali, Tiziana
Rubbioni, Paola
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (02) : 409 - 415
[10] Best proximity point theorems via fixed point theorems for multivalued mappings
Ardsalee P.
Saejung S.
[J]. Fixed Point Theory and Applications, 2016 (1)

← 1 2 3 4 5 →