Approximation Theorems and Fixed Point Theorems for Various Classes of 1-set-contractive Mappings in Banach Spaces

2001 ◽  
Vol 17 (1) ◽  
pp. 103-112 ◽  
Author(s):  
Li Shan Liu
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Approximation Theorems ◽  
Contractive Mappings

scholarly journals On Some Fixed Point Results forH+-Type Contraction Mappings in Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Hemant Kumar Pathak ◽  
Rosana Rodríguez-López
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Type Contraction

We prove some fixed point theorems forH+-type multivalued contractive mappings in the setting of Banach spaces and metric spaces. The results provided allow recovering different well-known results.

scholarly journals Some Krasnosel’skii-type fixed point theorems for Meir–Keeler-type mappings

2020 ◽  
Vol 25 (2) ◽  
Author(s):  
Ehsan Pourhadi ◽  
Reza Saadati ◽  
Zoran Kadelburg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Contractive Mappings ◽  
Nonlinear Anal ◽  
Expansion Condition

In this paper, inspired by the idea of Meir–Keeler contractive mappings, we introduce Meir–Keeler expansive mappings, say MKE, in order to obtain Krasnosel’skii-type fixed point theorems in Banach spaces. The idea of the paper is to combine the notion of Meir–Keeler mapping and expansive Krasnosel’skii fixed point theorem. We replace the expansion condition by the weakened MKE condition in some variants of Krasnosel’skii fixed point theorems that appear in the literature, e.g., in [T. Xiang, R. Yuan, A class of expansive-type Krasnosel’skii fixed point theorems, Nonlinear Anal., Theory Methods Appl., 71(7–8):3229–3239, 2009].

scholarly journals Fixed point theorems for nonself G-almost contractive mappings in Banach spaces endowed with graphs

2016 ◽  
Vol 32 (3) ◽  
pp. 375-382
Author(s):  
JUKRAPONG TIAMMEE ◽  
◽  
YEOL JE CHO ◽  
SUTHEP SUANTAI ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Directed Graph ◽  
Fixed Point Theorems ◽  
Contractive Mappings

In this paper, we prove some fixed point theorems for non-self G-almost contractive mappings in Banach spaces with a directed graph and give some examples to illustrate our main results. The main results in this paper extend and generalize many known results in the literature therein.

scholarly journals Maia type fixed point theorems for some classes of enriched contractive mappings in Banach spaces

2021 ◽  
Vol 38 (1) ◽  
pp. 35-46
Author(s):  
VASILE BERINDE ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Contractive Mappings

We give some extensions of the beautiful 1968 fixed point theorem of Maia [Maia, M. G. Un’osservazione sulle contrazioni metriche. (Italian) Rend. Sem. Mat. Univ. Padova 40 (1968), 139–143] to three classes of enriched contractive mappings in Banach spaces: enriched contractions, Kannan enriched contractions and Ćirić-Reich-Rus contractions.

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