A new approach to metrical fixed point theorems
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R. P. Pant
,
Dhananjay Gopal
Abstract
In this paper, we present new conditions yielding a unique fixed point for non expansive type mappings. We also obtain common fixed point theorems for mappings that not necessarily satisfy any known contractive type conditions. Since general methods for studying common fixed points of non-contractive mappings are not available, our present findings provides a new tools in this direction. Moreover, a common fixed point theorem is used to demonstrate in solving nonlinear integral equation problem.
(Communicated by Gregor Dolinar)
Acknowledgement
The authors thank Editor-in-Chief/Area Editors and Referee(s) for their valuable comments and suggestions, which were very much useful to improve the paper significantly.
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Artikel in diesem Heft
- Weak differences, weak BCK-algebras and applications to some partial orders on rings
- Weakly κ-compact topological spaces
- On sharp radius estimates for S*(β) and a product function
- Maximal subextension and stability in m-capacity of maximal subextension of m-subharmonic functions with given boundary values
- Asymptotic behavior of fractional super-linear differential equations
- New and improved oscillation criteria of third-order half-linear delay differential equations via canonical transform
- Global dynamics of the system of difference equations
- Results on oscillatory properties of third-order functional difference equations with semi-canonical operators
- A new approach to metrical fixed point theorems
- Generalized Baker’s result and stability of functional equations using fixed point results
- Characterizations of ℕ-compactness and realcompactness via ultrafilters in the absence of the axiom of choice
- K-theory of oriented flag manifolds
- On certain observations on split continuity and cauchy split continuity
- On the generalized eta- and theta-transformation formulas as the Hecke modular relation
- On some selective star Lindelöf-type properties
