scholarly journals Lou's fixed point theorem in a space of continuous mappings

2006 ◽  
Vol 58 (3) ◽  
pp. 769-774 ◽  
Author(s):  
Tomonari SUZUKI
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Continuous Mappings

Fixed Points for Dissipative-Repulsive Systems and Topological Dynamics of Mappings Defined on N-dimensional Cells

2005 ◽  
Vol 5 (3) ◽  
Author(s):  
Marina Pireddu ◽  
Fabio Zanolin
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Topological Dynamics ◽  
Continuous Mappings ◽  
Expansion Condition ◽  
Dimensional Cell

AbstractWe prove a fixed point theorem for continuous mappings which satisfy a compression-expansion condition on the boundary of a N-dimensional cell of ℝ

scholarly journals A Common Fixed Point Theorem in Metric Space under General Contractive Condition

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sunny Chauhan ◽  
Zoran Kadelburg ◽  
Sumitra Dalal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Contractive Condition ◽  
Continuous Mappings ◽  
Common Fixed Point Theorem

We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007).

scholarly journals A FIXED POINT THEOREM FOR SOME NON-SELF-MAPPINGS

1990 ◽  
Vol 21 (4) ◽  
pp. 387-393
Author(s):  
NADIM A. ASSAD
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Closed Subset ◽  
Property A ◽  
Nonempty Closed Subset ◽  
Continuous Mappings

A fixed point theorem is proved for continuous mappings from a nonempty closed subset $K$, of a Banach space $X$, into $X$, and which satisfies contractive definition definition (3) and property (a) below.

scholarly journals Soft D-metric spaces

2019 ◽  
Vol 38 (7) ◽  
pp. 137-147 ◽  
Author(s):  
Cigdem Gunduz Aras ◽  
Sadi Bayramov ◽  
Murat Ibrahim Yazar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Continuous Mappings

The first aim to this paper is to define soft D− metric spaces and to give some fundamentel definitions. In addition to, we prove fixed point theorem of soft continuous mappings on soft D− metric spaces.

scholarly journals Related fixed point theorem for four complete metric spaces

2013 ◽  
Vol 5 (2) ◽  
pp. 147-156
Author(s):  
Vishal Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Complete Metric Spaces ◽  
Continuous Mappings

Abstract In the present paper, we obtain a new result on fixed point theorem for four metric spaces. Here we choose continuous mappings. In fact our result is the generalization of many results of fixed point theorem on two and three metric spaces. We also give some illustrative examples to justify our result.

scholarly journals A Coupled Fixed Point Theorem in Fuzzy Metric Space Satisfyingϕ-Contractive Condition

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
B. D. Pant ◽  
Sunny Chauhan ◽  
Jelena Vujaković ◽  
Muhammad Alamgir Khan ◽  
Calogero Vetro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Space ◽  
Contractive Condition ◽  
Fuzzy Metric ◽  
Coupled Fixed Point Theorem ◽  
Continuous Mappings

The intent of this paper is to prove a coupled fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings, satisfyingϕ-contractive conditions in a fuzzy metric space. We also furnish some illustrative examples to support our results.

scholarly journals A NOTE ON THE PAPER “ON COMPLETENESS IN METRIC SPACES AND FIXED POINT THEOREMS"

2020 ◽  
Vol 15 (1) ◽  
Author(s):  
Deepak Khantwal ◽  
Umesh Cuandra Gairola
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Continuous Mappings ◽  
Discontinuous Mappings ◽  
The Fixed Point Theorem ◽  
Common Fixed Point Theorem

In the present note, we show that the assumption of continuity used in the fixed point theorem of Gregori et al. (Results Math. 73 (2018), no. 4, Art. 142, 13) can be relaxed to some weaker version of continuity. More precisely, we prove a fixed point theorem for orbitally continuous and k-continuous mappings in weak G-complete metric space and provide an appropriate example to show that our result is not only valid for continuous mappings but also for some discontinuous mappings. Moreover, we apply our main result to establish a common fixed point theorem for two self-mappings

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