scholarly journals Nonlinear generalized contractions on Menger PM spaces

2012 ◽  
Vol 6 (2) ◽  
pp. 257-264 ◽  
Author(s):  
Natasa Babacev
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Contraction Principle ◽  
Menger Spaces ◽  
Contractive Type

This paper presents a fixed point theorem for a self-mapping defined on probabilistic Menger spaces satisfying nonlinear generalized contractive type conditions. The theorem is an improvement of a result presented by B.S. Choudhury, K. Das: A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008), 1379{1386. This is illustrated with an example.

scholarly journals Altering distances and a common fixed point theorem in Menger probabilistic metric spaces

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 175-181
Author(s):  
Sinisa Jesic ◽  
Natasa Cirovic ◽  
Donal O’Regan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Menger Spaces ◽  
Contractive Type ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorem

This paper presents a common fixed point theorem for two compatible self-mappings satisfying nonlinear contractive type condition defined using a ?-function. This result extends previous results due to B. S. Choudhury, K. Das, A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008) 1379-1386, and the result due to D. Mihe?, Altering distances in probabilistic Menger spaces, Nonlinear Analysis 71 (2009) 2734-2738.

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.

Ulam-Hyers stability theorem by tripled fixed point theorem

2016 ◽  
Vol 56 (1) ◽  
pp. 77-97
Author(s):  
Animesh Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Stability Theorem ◽  
Tripled Fixed Point ◽  
Complete Metric Spaces ◽  
Contractive Type ◽  
Vector Valued ◽  
Stability Results

AbstractThis paper deals with tripled fixed point theorem, and the approach is based on Perov-type fixed point theorem for contractions in metric spaces endowed with vector-valued metrics. We are also study Ulam-Hyers stability results for the tripled fixed points of a triple of contractive type single-valued and respectively multi-valued operators on complete metric spaces.

scholarly journals A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Siniša N. Ješić ◽  
Nataša A. Babačev ◽  
Rale M. Nikolić
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Type Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Common Fixed Point Theorem

This paper is to present a common fixed point theorem for twoR-weakly commuting self-mappings satisfying nonlinear contractive type condition defined using a Φ-function, defined on fuzzy metric spaces. Some comments on previously published results and some examples are given.

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 On solutions of semilinear evolution integrodifferential equations with nonlocal conditions

2009 ◽  
Vol 40 (3) ◽  
pp. 257-269 ◽  
Author(s):  
Zuomao Yan
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Mild Solutions ◽  
Nonlocal Conditions ◽  
Integrodifferential Equations ◽  
Contraction Principle ◽  
Theory Of Evolution ◽  
Banach’S Contraction Principle

In this paper, by using the theory of evolution families, Banach's contraction principle and Schauder's fixed point theorem, we prove the existence of mild solutions of a class of semilinear evolution integrodifferential equations with nonlocal conditions in Banach space. An example is provided to illustrate the obtained results.

Some fixed point theorems in partial \(S_b\)-metric spaces

2018 ◽  
Vol 9 (1) ◽  
pp. 1
Author(s):  
Koushik Sarkar ◽  
Manoranjan Singha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Banach Contraction Principle ◽  
Contraction Principle ◽  
New Class ◽  
Contractive Mappings ◽  
Banach Contraction

N. Souayah [10] introduced the concept of partial Sb-metric spaces. In this paper, we established a fixed point theorem for a new class of contractive mappings and a generalization of Theorem 2 from [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Am. Math. Soc. 136, (2008), 1861-1869] in partial Sb-metric spaces. We provide an example in support of our result.

scholarly journals Wardowski Type Characterization of the Interpolative Berinde Weak Fixed Point Theorem

2020 ◽  
pp. 411-414
Author(s):  
Clement Boateng Ampadu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Banach Contraction Principle ◽  
Contraction Principle ◽  
Weak Contraction ◽  
Banach Contraction ◽  
The Banach Contraction Principle

In [1], Wardowski introduced the F-contractions, and used it to prove the Banach contraction principle. In this paper we introduce a concept of F-interpolative Berinde weak contraction, and use it to prove the interpolative Berinde weak mapping theorem of [2].

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