# ON A FIXED POINT THEOREM OF KRASNOSEL'SKII TYPE AND APPLICATION TO INTEGRAL EQUATIONS

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Using a particular locally convex space and Schaefer's theorem, a generalization of Krasnoselskii's fixed point Theorem is proved. This result is further applied to certain nonlinear integral equation proving the existence of a solution on IR[sub+] = [0, + âˆž).

- Application of Fixed point theorem to nonlinear integral equations. Kakde, R. V.; N., Patil A. // Indian Streams Research Journal;May2012, Vol. 2 Issue 4, Special section p1
Nonlinear integral equations have been a topic of great interest among the mathematicians working in the field of non linear analysis since long time. Krasnoselskii[5] and references given therein. Nonlinear functional integral equations have also been discussed in the literature. e.g....

- Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations. Agarwal, Ravi P.; Hussain, Nawab; Taoudi, Mohamed-Aziz // Abstract & Applied Analysis;2012, p1
We present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space. Our results extend several earlier works. An application is given to show the usefulness and the applicability of the obtained results.

- Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations. Agarwal, Ravi P.; Hussain, Nawab; Taoudi, Mohamed-Aziz // Abstract & Applied Analysis;2012, p1
We present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space. Our results extend several earlier works. An application is given to show the usefulness and the applicability of the obtained results.

- Random fixed point theorems with an application to a random nonlinear integral equation. Rashwan, R. A.; Hammad, H. A. // Journal of Linear & Topological Algebra;2016, Vol. 5 Issue 2, p119
In this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. We discuss also the existence of a solution to a nonlinear random integral equation.

- Random fixed point of GreguÅ¡ mapping and its application to nonliner stochastic integral equations. BEG, ISMAT; SAHA, M.; GANGULY, ANAMIKA; DEY, DEBASHIS // Kuwait Journal of Science;2014, Vol. 41 Issue 2, p1
We obtain sufficient conditions for the existence of random fixed point of GreguÅ¡ type random operators on separable Banach spaces and use it to solve a random nonlinear integral equation of the form: ... To further illustrate, examples of nonlinear stochastic integral equation are constructed.

- EXISTENCE RESULTS FOR SOME NONLINEAR INTEGRAL EQUATIONS. Lauran, Monica // Miskolc Mathematical Notes;2012, Vol. 13 Issue 1, p67
In this paper we shall establish sufficient conditions for the existence of solutions of the integral equation of Volterra type and for its solvability in Banach space and CL: The main tools used in our study are the nonexpansive operator technique, contraction principle and Schaefer's fixed...

- Krasnoselskii-type fixed-point theorems for weakly sequentially continuous mappings. Garcia-Falset, J.; Latrach, K. // Bulletin of the London Mathematical Society;Feb2012, Vol. 44 Issue 1, p25
In this article, we establish some fixed-point results of Krasnoselskii type for the sum of two weakly sequentially continuous mappings that extend previous ones. In the last section, we apply such results to study the existence of solutions to a nonlinear integral equation modelled in a Banach...

- FIXED POINT TECHNIQUES AND STABILITY IN NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS. Ardjouni, Abdelouaheb; Djoudi, Ahcene // Matematicki Vesnik;2013, Vol. 65 Issue 2, p271
In this paper we use fixed point techniques to obtain asymptotic stability results of the zero solution of a nonlinear neutral differential equation with variable delays. This investigation uses new conditions which allow the coefficient functions to change sign and do not require the...