scholarly journals Existence and uniqueness results on mixed type summation-difference equations in cone metric space

2020 ◽  
Keyword(s):  
Difference Equations ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Mixed Type ◽  
Cone Metric Space ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Cone Metric

scholarly journals On the Nonlocal Fractional Delta-Nabla Sum Boundary Value Problem for Sequential Fractional Delta-Nabla Sum-Difference Equations

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 476
Author(s):  
Jiraporn Reunsumrit ◽  
Thanin Sitthiwirattham
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Difference Equations ◽  
Existence And Uniqueness ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Banach Contraction ◽  
The Banach Contraction Principle

In this paper, we propose sequential fractional delta-nabla sum-difference equations with nonlocal fractional delta-nabla sum boundary conditions. The Banach contraction principle and the Schauder’s fixed point theorem are used to prove the existence and uniqueness results of the problem. The different orders in one fractional delta differences, one fractional nabla differences, two fractional delta sum, and two fractional nabla sum are considered. Finally, we present an illustrative example.

scholarly journals Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Andreea Fulga ◽  
Hojjat Afshari ◽  
Hadi Shojaat
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Common Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Cone Metric Space ◽  
The Self ◽  
Common Fixed Point Theorems ◽  
Cone Metric

AbstractIn this manuscript, we investigate the existence and uniqueness of a common fixed point for the self-mappings defined on quasi-cone metric space over a divisible Banach algebra via an auxiliary mapping ϕ.

scholarly journals Existence and uniqueness of continuous solution of mixed type integra equations in cone metric space

1970 ◽  
Vol 7 (1) ◽  
pp. 48-55 ◽  
Author(s):  
HL Tidke ◽  
CT Aage ◽  
JN Salunke
Keyword(s):  
Metric Space ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Fredholm Type ◽  
Type Integral ◽  
Banach’S Contraction Principle ◽  
Cone Metric

In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space. Mathematics Subject Classification: 45N05, 47G20, 34K05, 47H10. Keywords: Cone metric space, Contractive mapping, ordered Banach space. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5421 KUSET 2011; 7(1): 48-55

scholarly journals Weaker cyclic (phi,phi)-contractive mappings with an application to integro-differential equations

2013 ◽  
Vol 18 (4) ◽  
pp. 427-443 ◽  
Author(s):  
Hemant Kumar Nashine ◽  
Zoran Kadelburg
Keyword(s):  
Differential Equations ◽  
Fixed Points ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Contractive Mapping ◽  
Existence And Uniqueness Results ◽  
Contractive Mappings ◽  
Uniqueness Results ◽  
New Variant ◽  
Cyclic Contractive Mapping

We introduce a new variant of cyclic contractive mapping in a metric space and originate existence and uniqueness results of fixed points for such mappings. Examples are given to support the usability of our results. After these results, an application to integro-differential equations is given.

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