Approaches to highly parameterized inversion: Pilot-point theory, guidelines, and research directions

2011 ◽  
Author(s):  
John E. Doherty ◽  
Michael N. Fienen ◽  
Randall J. Hunt
Keyword(s):  
Point Theory ◽  
Research Directions

scholarly journals Fixed point theory for nonself generalized contractions in Kasahara spaces

2019 ◽  
Vol 57 (1) ◽  
pp. 66-76
Author(s):  
Alexandru-Darius Filip ◽  
Ioan A. Rus
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Research Directions

Abstract In this paper we extend some results of V. Berinde, Şt. Măruşter and I.A. Rus (Saturated contraction principles for nonself operators, generalizations and applications, Filomat, 31:11(2017), 3391-3406), which were given in metric spaces, to Kasahara spaces. Some research directions are also presented.

scholarly journals Fuzzy Fixed Point Results in F-Metric Spaces with Applications

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Monairah Alansari ◽  
Shehu Shagari Mohammed ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Cauchy Problems ◽  
Research Directions ◽  
New Research ◽  
Fuzzy Fixed Point

In this paper, some concepts of F-metric spaces are used to study a few fuzzy fixed point theorems. Consequently, corresponding fixed point theorems of multivalued and single-valued mappings are discussed. Moreover, one of our obtained results is applied to establish some conditions for existence of solutions of fuzzy Cauchy problems. It is hoped that the established ideas in this work will awake new research directions in fuzzy fixed point theory and related hybrid models in the framework of F-metric spaces.

Convergence results for fixed point iterative algorithms in metric spaces

2019 ◽  
Vol 35 (2) ◽  
pp. 209-220
Author(s):  
IOAN A. RUS ◽  
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Iterative Algorithms ◽  
Point Theory ◽  
Point Of View ◽  
Iterative Approximation ◽  
Research Directions ◽  
Convergence Results ◽  
Convergence Of Algorithm

In this paper we give some conditions on fn and f which imply the convergence of algorithm (2). In this way we improve some results given in [Rus, I. A., An abstract point of view on iterative approximation of fixed points: impact on the theory of fixed point equations, Fixed Point Theory, 13 (2012), No. 1, 179–192]. In our results, in general we do not suppose that, Ff 6= ∅. Some research directions are formulated.

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