scholarly journals A Fixed Point Theorem for ψF-Geraghty Contraction on Metric-Like Spaces

2017 ◽  
Vol 59 (1) ◽  
pp. 5-12
Author(s):  
Acar Özlem ◽  
Altun Ishak
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
New Type ◽  
Type Contraction

AbstractIn this paper, we define a new type Geraghty type contraction, ψF-Geraghty contraction, and prove a fixed point theorem for this type contraction and give an illustrative example.

scholarly journals Suzuki ψF-contractions and some fixed point results

2018 ◽  
Vol 34 (1) ◽  
pp. 93-102
Author(s):  
NICOLAE-ADRIAN SECELEAN ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Continuity Point ◽  
Picard Operator ◽  
Nonlinear Anal ◽  
New Type

The purpose of this paper is to combine and extend some recent fixed point results of Suzuki, T., [A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317] and Secelean, N. A. & Wardowski, D., [ψF-contractions: not necessarily nonexpansive Picard operators, Results Math., 70 (2016), 415–431]. The continuity and the completeness conditions are replaced by orbitally continuity and orbitally completeness respectively. It is given an illustrative example of a Picard operator on a non complete metric space which is neither nonexpansive nor expansive and has a unique continuity point.

scholarly journals On New Type of F -Contractive Mapping for Quasipartial b -Metric Spaces and Some Results of Fixed-Point Theorem and Application

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
A. M. Zidan ◽  
Asma Al Rwaily
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Banach’S Fixed Point Theorem ◽  
Contractive Type ◽  
New Type

In this paper, we introduce the concept of new type of F -contractive type for quasipartial b-metric spaces and some definitions and lemmas. Also, we will prove a new fixed-point theorem in quasipartial b -metric spaces for F -contractive type mappings. In addition, we give an application which illustrates a situation when Banach’s fixed-point theorem for complete quasipartial b -metric spaces cannot be applied, while the conditions of our theorem are satisfying.

A general fixed point theorem for a pair of multi-valued mappings in partial metric spaces

2016 ◽  
Vol 56 (1) ◽  
pp. 129-141
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Implicit Relation ◽  
Partial Metric Spaces ◽  
New Type

AbstractThe purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.2 [4], Theorem 3.1 [3], Theorem 3.2 [7], Corollary 2.3 [4], Theorem 2.8 [16] and obtain other particular results.

scholarly journals Compatible mappings and common fixed points “revisited”

1994 ◽  
Vol 17 (1) ◽  
pp. 37-40 ◽  
Author(s):  
Gerald Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Common Fixed Points ◽  
Contraction Principle ◽  
Compatible Mappings ◽  
Type Contraction

A fixed point theorem involving a Meir-Keeler type contraction principle is refined by diminishing continuity requirements.

scholarly journals A new Type of Fixed Point Theorem in a Complete Dislocated Metric Space

2021 ◽  
Vol 33 (4) ◽  
pp. 23-25
Author(s):  
YASHVIR SINGH ◽  
Keyword(s):  
Fixed Point ◽  
Continuous Function ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Dislocated Metric Space ◽  
New Type ◽  
Complete Dislocated Metric Space ◽  
Dislocated Metric

In this paper a fixed point theorem have been proved in dislocated metric spaces using a class of continuous function G4.

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