scholarly journals C- class function on fixed point theorems for contractive mappings of integral type in n-Banach spaces

2018 ◽  
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Contractive Mappings ◽  
Class Function

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 Fixed Point Theorems for Two Pairs of Mappings Satisfying a New Type of Common Limit Range Property in Gp Metric Spaces

2018 ◽  
Vol 32 (1) ◽  
pp. 295-312
Author(s):  
Valeriu Popa ◽  
Alina-Mihaela Patriciu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Contractive Mappings ◽  
Common Limit ◽  
New Type ◽  
Common Limit Range Property

Abstract The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property in Gpmetric spaces. In the last part of the paper, some fixed point results for mappings satisfying contractive conditions of integral type and for ⱷ-contractive mappings are obtained.

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 and Common Fixed Point Theorems for Generalized Weak Contraction Mappings of Integral Type in Modular Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Weak Contraction ◽  
Integral Type ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Modular Spaces ◽  
Generalized Weak Contraction ◽  
Common Fixed Point Theorems

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces. Our results extend and generalize the results of A. Razani and R. Moradi (2009) and M. Beygmohammadi and A. Razani (2010).

On fixed point theorems for contractive mappings of integral type with w-distance

Filomat ◽  
2017 ◽  
Vol 31 (6) ◽  
pp. 1515-1528
Author(s):  
Zeqing Liu ◽  
Feifei Hou ◽  
Shin Kang ◽  
Jeong Ume
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Contractive Mappings

scholarly journals Maia type fixed point results via C-class function

2020 ◽  
Vol 12 (2) ◽  
pp. 227-244
Author(s):  
Arslan Hojat Ansari ◽  
Mohammad Saeed Khan ◽  
Vladimir Rakočević
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Binary Relation ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Contractive Mappings ◽  
Class Function ◽  
Banach’S Fixed Point Theorem

AbstractIn 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.

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