Fixed point theorems for self and non-self F-contractions in metric spaces endowed with a graph

被引:0
作者
Awais Younus
Muhammad Umer Azam
Muhammad Asif
机构
[1] CASPAM,
[2] Bahauddin Zakariya University,undefined
关键词
Fixed point; F-contraction; Non-self G F-contraction; Directed graph; G F-contraction; Non-self mapping; Rothe’s boundary condition; 47H10; 54H25; 47J26; 54E50; 05C40;
D O I
10.1186/s42787-020-00100-9
中图分类号
学科分类号
摘要
The main results obtained in this paper are fixed point theorems for self and non-self GF-contractions on metric spaces endowed with a graph. Our new results are generalization of recently fixed point theorems for self mappings on metric spaces and also fixed point theorems for non-self mappings in Banach spaces by using the concept of new type of contractive mappings namely F-contractions.
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[1]  
Banach S.(1922)Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales Fund. Math. 3 133-181
[2]  
Soliman A. H.(2017)Fixed point theorems for a generalized contraction mapping of rational type in symmetric spaces J. Egypt. Math. Soc. 25 298-301
[3]  
Wang S.(2016)Some fixed point theorems for G-isotone mappings in partially ordered metric spaces J. Egypt. Math. Soc. 24 410-415
[4]  
Assad N. A.(1972)Fixed point theorems for set-valued mappings of contractive type Pac. J. Math. 43 553-562
[5]  
Kirk W. A.(2014)Fixed points of non-self almost contractions Carpathian J. Math. 30 7-14
[6]  
Alghamdi M. A.(2013)Fixed points of multivalued nonself almost contractions J. Appl. Math. 2013 6-144
[7]  
Berinde V.(2004)A common fixed point theorem for nonself mappings Miskolc Math. Notes 5 137-93
[8]  
Shahzad N. A.(2004)Approximation of fixed points of some nonself generalized Math. Balkanica 18 85-1443
[9]  
Alghamdi M. A.(2004)-contractions Proc. Am. Math. Soc. 132 1435-239
[10]  
Berinde V.(2005)A fixed point theorem in partially ordered sets and some applications to matrix equations Order 22 223-1393